Results for 'Neutrosophic Set'

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  1. Rough Neutrosophic Sets.Said Broumi, Florentin Smarandache & Mamoni Dhar - 2014 - Neutrosophic Sets and Systems 3:60-65.
    Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.
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  2.  85
    Support-Neutrosophic Set: A New Concept in Soft Computing.Nguyen Xuan Thao, Florentin Smarandache & Nguyen Van Dinh - 2017 - Neutrosophic Sets and Systems 16:93-98.
    Today, soft computing is a field that is used a lot in solving real-world problems, such as problems in economics, finance, banking... With the aim to serve for solving the real problem, many new theories and/or tools which were proposed, improved to help soft computing used more efficiently. We can mention some theories as fuzzy sets theory (L. Zadeh, 1965), intuitionistic fuzzy set (K Atanasov, 1986), neutrosophic set (F. Smarandache 1999). In this paper, we introduce a new notion of (...)
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  3.  88
    Interval neutrosophic sets applied to ideals in BCK/BCI-algebras.Seok-Zun Song, Madad Khan, Florentin Smarandache & Young Bae Jun - 2017 - Neutrosophic Sets and Systems 18:16-26.
    In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.
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  4. Neutrosophic Set and Neutrosophic Topological Spaces.A. A. Salama & S. A. Alblowi - 2012 - IOSR Journal of Mathematics (IOSR-JM) 3 (4):31-35.
    Neutrosophy has been introduced by Smarandache [7, 8] as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space [4], and intuitionistic fuzzy topological space [5, 6] to the case of neutrosophic sets. Possible application (...)
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  5. Several Similarity Measures of Neutrosophic Sets.Said Broumi & Florentin Smarandache - 2013 - Neutrosophic Sets and Systems 1:54-62.
    Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some (...)
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  6.  85
    Neutrosophic Set Appriach for Characterizations of Left Almost Semigroups.Madad Khan, Florentin Smarandache & Sania Afzal - 2015 - Neutrosophic Sets and Systems 11:79-94.
    In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them. Furthermore, we have done some characterization of a neutrosophic LA-semigroup by the properties of its neutrosophic ideals. It has been proved that in a neutrosophic intra-regular LA-semigroup neutrosophic left, right, two-sided, interior, bi-ideal, generalized bi-ideal and quasi-ideals coincide and we have also proved that the set of (...)
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  7.  88
    Several New Types of Neutrosophic Set.Florentin Smarandache - unknown
    In the literature, new types of neutrosophic sets have been introduced in the meantime by the growing neutrosophic community. We present a few: Pythagorean Neutrosophic Set, Fermatean Neutrosophic Set, Generalized Fermatean Neutrosophic Set, n-power Neutrosophic Set, Cubic Spherical Neutrosophic Set, Spherical Neutrosophic Set, n-HyperSpherical Neutrosophic Set, Refined n-HyperSpherical Neutrosophic Set.
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  8.  76
    Divergence measure of neutrosophic sets and applications.Nguyen Xuan Thao & Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 21:142-152.
    In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.
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  9. A New Type of Neutrosophic Set in Pythagorean Fuzzy Environment and Applications to Multi-criteria Decision Making.Mahmut Can Bozyigit, Florentin Smarandache, Murat Olgun & Mehmet Unver - 2023 - International Journal of Neutrosophic Science 20 (2):107-134.
    In this paper, we introduce the concepts of Pythagorean fuzzy valued neutrosophic set (PFVNS) and Pythagorean fuzzy valued neutrosophic (PFVNV) constructed by considering Pythagorean fuzzy values (PFVs) instead of numbers for the degrees of the truth, the indeterminacy and the falsity, which is a new extension of intuitionistic fuzzy valued neutrosophic set (IFVNS). By means of PFVNSs, the degrees of the truth, the indeterminacy and the falsity can be given in Pythagorean fuzzy environment and more sensitive evaluations (...)
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  10.  95
    Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems.Nguyen Xuan Thao, Bui Cong Cuong & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 14:80-92.
    A rough fuzzy set is the result of the approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems. In this paper, we introduce the concepts of rough standard neutrosophic sets and standard neutrosophic information system, and give some results of the knowledge discovery on standard neutrosophic information system based on rough standard neutrosophic sets.
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  11.  94
    IN-cross Entropy Based MAGDM Strategy under Interval Neutrosophic Set Environment.Shyamal Dalapati, Surapati Pramanik, Shariful Alam, Florentin Smarandache & Tapan Kumar Roy - 2017 - Neutrosophic Sets and Systems 18:43-57.
    Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. We define a new cross entropy measure under interval neutrosophic set environment.
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  12.  84
    The Characteristic Funcation of a Neutrosophic Set.A. Salama, Florentin Smarandache & S. A. Alblowi - 2014 - Neutrosophic Sets and Systems 3:14-17.
    The purpose of this paper is to introduce and study the characteristic function of a neutrosophic set. After given the fundamental definitions of neutrosophic set operations generated by the characteristic function of a neutrosophic set ( Ng for short), we obtain several properties, and discussed the relationship between neutrosophic sets generated by Ng and others. Finally, we introduce the neutrosophic topological spaces generated by Ng . Possible application to GIS topology rules are touched upon.
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  13.  81
    Cosine Similarity Measure of Interval Valued Neutrosophic Sets.Said Broumi & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 5:15-20.
    In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on the comparative analysis of the existing similarity measures for IVNS, we find that our proposed similarity measure is better and more robust. An illustrative example of the pattern recognition shows that the proposed method is simple and effective.
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  14.  75
    Degree of Dependence and Independence of the Components of Fuzzy Set and Neutrosophic Set.Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 11:95-97.
    We have introduced for the first time the degree of dependence (and consequently the degree of independence) between the components of the fuzzy set, and also between the components of the neutrosophic set in our 2006 book’s fifth edition [1]. Now we extend it for the first time to the refined neutrosophic set considering the degree of dependence or independence of subcomponets.
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  15. A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Values with Applications to Pattern Recognition.Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin & Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:31-48.
    In this paper, we propose some transfor mations based on the centroid points between single valued neutrosophic numbers. We introduce these trans formations according to truth, indeterminacy and falsity value of single valued neutrosophic numbers. We propose a new similarity measure based on falsity value between single valued neutrosophic sets. Then we prove some properties on new similarity measure based on falsity value between falsity value between single valued neutrosophic sets. Furthermore, we propose similarity measure based (...)
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  16.  75
    Extension of Crisp Functions on Neutrosophic Sets.Sabu Sebastian, Florentin Smarandache & Sebastian Sabu - 2017 - Neutrosophic Sets and Systems 17:88-92.
    In this paper, we generalize the definition of Neutrosophic sets and present a method for extending crisp functions on Neutrosophic sets and study some properties of such extended functions.
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  17.  82
    Multi Attribute Decision Making Strategy on Projection and Bidirectional Projection Measures of Interval Rough Neutrosophic Sets.Surapati Pramanik, Rumi Roy, Tapan Kumar Roy & Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 19:101-109.
    In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively. Then the proposed methods are applied for solving multi attribute decision making problems. Finally, a numerical example is solved to show the feasibility, applicability and effectiveness of the proposed strategies.
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  18.  86
    Multiple Criteria Evaluation Model Based on the Single Valued Neutrosophic Set.Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas & Darjan Karabasevic - 2016 - Neutrosophic Sets and Systems 14:3-6.
    Gathering the attitudes of the examined respondents would be very significant in some evaluation models. Therefore, a multiple criteria approach based on the use of the neutrosophic set is considered in this paper. An example of the evaluation of restaurants is considered at the end of this paper with the aim to present in detail the proposed approach.
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  19.  78
    Correlation Coefficient Measures of Interval Bipolar Neutrosophic Sets for Solving Multi-Attribute Decision Making Problems.Surapati Pramanik, Dey Partha Pratim & Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 19:70-79.
    Interval bipolar neutrosophic set is a significant extension of interval neutrosophic set where every element of the set comprises of three independent positive membership functions and three independent negative membership functions. In this study, we first define correlation coefficient, and weighted correlation coefficient measures of interval bipolar neutrosophic sets and prove their basic properties. Then, we develop a new multi-attribute decision making strategy based on the proposed weighted correlation coefficient measure. Finally, we solve an investment problem with (...)
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  20.  27
    Ambiguous Set is a subclass of the Double Refined Indeterminacy Neutrosophic Set, and of the Refined Neutrosophic Set in general.Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 58.
    In this short note we show that the so-called Ambiguous Set (2019) is a subclass of the Double Refined Indeterminacy Neutrosophic Set (2017) and is a particular case of the Refined Neutrosophic Set (2013). Also, the Ambiguous Set is similar to the Quadripartitioned Neutrosophic Set (2016), and Belnap’s Four-Valued Logic (1975).
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  21.  80
    Similarity Measure of Refined Single-Valued Neutrosophic Sets and Its Multicriteria Decision Making Method.Jun Ye & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 12:41-44.
    This paper introduces a refined single-valued neutrosophic set (RSVNS) and presents a similarity measure of RSVNSs. Then a multicriteria decision-making method with RSVNS information is developed based on the similarity measure of RSVNSs. By the similarity measure between each alternative and the ideal solution (ideal alternative), all the alternatives can be ranked and the best one can be selected as well. Finally, an actual example on the selecting problems of construction projects demonstrates the application and effectiveness of the proposed (...)
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  22. Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets – Revisited.Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 21:153-166.
    In this paper, we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), which is a set whose elements are characterized by many attributes (parameters)’ values. An attribute value v has a corresponding (fuzzy, intuitionistic fuzzy, or neutrosophic) degree of appurtenance d(x,v) of the element x, to the set P, with respect to some given criteria. In order to obtain a better accuracy for the plithogenic aggregation operators in the plithogenic set, and for (...)
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  23. A Unifying Field in Logics: Neutrosophic Logic: Neutrosophy, Neutrosophic Set, Neutrosophic Probability.Florentin Smarandache (ed.) - 2007 - Ann Arbor, MI, USA: InfoLearnQuest.
    Neutrosophy considers a proposition, theory, event, concept, or entity, "A" in relation to its opposite, "Anti A" and that which is not A, "Non-A", and that which is neither "A" nor "Anti-A", denoted by "Neut-A". Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics.
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  24.  84
    Introduction to Develop Some Software Programs for Dealing with Neutrosophic Sets.A. Salama, Haitham A. El-Ghareeb, Ayman M. Manie & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 3:51-52.
    In this paper, we have developed an Excel package to be utilized for calculating neutrosophic data and analyze them. The use of object oriented programming techniques and concepts as they may apply to the design and development a new framework to implement neutrosophic data operations, the c# programming language, NET Framework and Microsoft Visual Studio are used to implement the neutrosophic classes. We have used Excel as it is a powerful tool that is widely accepted and used (...)
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  25.  69
    Degree of Dependence and Independence of the (Sub)Components of Fuzzy Set and Neutrosophic Set.Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 11 (1):95-97.
    We have introduced for the first time the degree of dependence (and consequently the degree of independence) between the components of the fuzzy set, and also between the components of the neutrosophic set in our 2006 book’s fifth edition [1]. Now we extend it for the first time to the refined neutrosophic set considering the degree of dependence or independence of subcomponets.
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  26.  65
    Introduction to the Complex Refined Neutrosophic Set.Florentin Smarandache - 2017 - Critical Review: A Journal of Politics and Society 14 (1):5-9.
    In this paper, one extends the single-valued complex neutrosophic set to the subsetvalued complex neutrosophic set, and afterwards to the subset-valued complex refined neutrosophic set.
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  27.  77
    Compact Open Topology and Evaluation Map via Neutrosophic Sets.R. Dhavaseelan, S. Jafari & F. Smarandache - 2017 - Neutrosophic Sets and Systems 16:35-38.
    The concept of neutrosophic locally compact and neutrosophic compact open topology are introduced and some interesting propositions are discussed.
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  28.  83
    Medical Diagnosis via Refined Neutrosophic Fuzzy Logic: Detection of Illness using Neutrosophic Sets.Florentin Smarandache, K. Hemabala & B. Srinivasa Kumar - 2023 - Journal of Advanced Zoology 44.
    The objective of the paper is to implement and validate diagnosis in the medical field via refined neutrosophic fuzzy logic (RNFL). As such, we have proposed a Max-Min composition (MMC) method in RNFL. This method deals with the diagnosis under certain constraints like uncertainty and indeterminacy. Further, we have considered the diagnosis problems to validate the sensitivity analysis of the novel multi attribute decision-making technique. Finally, we gave the graphical representations and compared the obtained results with other existing measures (...)
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  29.  89
    Interval Neutrosophic Rough Sets.Said Broumi & Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 7:23-31.
    This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets.
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  30. Neutrosophic Crisp Set Theory.A. A. Salama & Florentin Smarandache - 2015 - Columbus, OH, USA: Educational Publishers.
    In this book the authors introduce and study the following notions: Neutrosophic Crisp Points, Neutrosophic Crisp Relations, Neutrosophic Crisp Sets, Neutrosophic Set Generated by (Characteristic Function), alpha-cut Level for Neutrosophic Sets, Neutrosophic Crisp Continuous Function, Neutrosophic Crisp Compact Spaces, Neutrosophic Crisp Nearly Open Sets, Neutrosophic Crisp Ideals, Neutrosophic Crisp Filter, Neutrosophic Crisp Local Functions, Neutrosophic Crisp Sets via Neutrosophic Crisp Ideals, Neutrosophic Crisp L-Openness and Neutrosophic (...)
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  31. Neutrosophic Crisp Set Theory.A. Salama & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 5:27-35.
    The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets and others. Also, we introduce and study the neutrosophic crisp point and neutrosophic crisp relations. Possible applications to database are touched upon.
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  32. Neutrosophic Closed Set and Neutrosophic Continuous Functions.A. A. Salama, Florentin Smarandache & Valeri Kroumov - 2014 - Neutrosophic Sets and Systems 4:4-8.
    In this paper, we introduce and study the concept of" neutrosophic closed set" and" neutrosophic continuous function". Possible application to GIS topology rules are touched upon.
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  33.  87
    On Neutrosophic Semi Alpha Open Sets.Qays Hatem Imran, F. Smarandache, Riad K. Al-Hamido & R. Dhavaseelan - 2017 - Neutrosophic Sets and Systems 18:37-42.
    In this paper, we presented antoher concept of neutrosophic open sets called neutrosophic semi-α-open sets and studied their fundamental poperties in neutrosophic topological spaces. We also present neutrospohic semi-α-interior and neutrosophic semi-α-closure and study some of their fundamental properties.
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  34.  92
    On Neutrosophic Semi-Supra Open Set and Neutrosophic Semi-Supra Continuous Functions.R. Dhavaseelan, M. Parimala, S. Jafari & F. Smarandache - 2017 - Neutrosophic Sets and Systems 16:39-43.
    In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic semi-supra open set and neutrosophic semi-supra open continuous functions respectively.
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  35.  87
    Filters via Neutrosophic Crisp Sets.A. Salama & Florentin Smarandache - 2013 - Neutrosophic Sets and Systems 1:34-37.
    In this paper we introduce the notion of filter on the neutrosophic crisp set, then we consider a generalization of the filter’s studies. Afterwards, we present the important neutrosophic crisp filters. We also study several relations between different neutrosophic crisp filters and neutrosophic topologies. Possible applications to database systems are touched upon.
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  36.  91
    (I,T)-Standard neutrosophic rough set and its topologies properties.Nguyen Xuan Thao & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 14:65-70.
    In this paper, we defined (I,T) − standard neutrosophic rough sets based on an implicator I and a t-norm T on I; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (I,T) − standard neutrosophic rough sets are investigated. We consider the case when the neutrosophic components (truth, indeterminacy, and falsehood) are totally dependent, single-valued, and hence their sum is ≤ 1.
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  37.  26
    Single Valued Neutrosophic HyperSoft Set based on VIKOR Method for 5G Architecture Selection.Florentin Smarandache, M. Ali Ahmed & Ahmed Abdelhafeez - 2024 - International Journal of Neutrosophic Science 23 (2):42-52.
    This work introduces the framework for selecting architecture in 5G networks, considering various technological, performance, economic, and operational factors. With the emergence of 5G technology, the architecture selection process has become pivotal in meeting diverse requirements for ultra-high-speed connectivity, low latency, scalability, and diverse service demands. The evaluation comprehensively analyses different architecture options, including centralized, distributed, cloud-based, and virtualized architectures. Factors such as network performance, scalability, cost-effectiveness, security, and compatibility are considered within a multi-criteria decision-making framework. Findings reveal each architecture (...)
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  38.  71
    Investigation of a neutrosophic group.A. Elrawy, Florentin Smarandache & Ayat A. Temraz - unknown
    We use a neutrosophic set, instead of an intuitionistic fuzzy because the neutrosophic set is more general, and it allows for independent and partial independent components, while in an intuitionistic fuzzy set, all components are totally dependent. In this article, we present and demonstrate the concept of neutrosophic invariant subgroups. We delve into the exploration of this notion to establish and study the neutrosophic quotient group. Further, we give the concept of a neutrosophic normal subgroup (...)
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  39. Bipolar Neutrosophic Projection Based Models for Solving Multi-Attribute Decision-Making Problems.Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri & Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:70-79.
    Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modelling real life decision making problems. In the paper, we define projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets. Three new methods based on the proposed projection measures are developed for solving multi-attribute decision making problems. In the solution process, the ratings of performance values of (...)
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  40.  82
    GRA for Multi Attribute Decision Making in Neutrosophic Cubic Set Environment.Durga Banerjee, Bibhas C. Giri, Surapati Pramanik & Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:60-69.
    In this paper, multi attribute decision making problem based on grey relational analysis in neutrosophic cubic set environment is investigated. In the decision making situation, the attribute weights are considered as single valued neutrosophic sets. The neutrosophic weights are converted into crisp weights. Both positve and negative GRA coefficients, and weighted GRA coefficients are determined. Hamming distances for weighted GRA coefficients and standard (ideal) GRA coefficients are determined. The relative closeness coefficients are derived in order to rank (...)
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  41.  84
    Soft Interval-Valued Neutrosophic Rough Sets.Said Broumi & Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 7:69-80.
    In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIF- rough sets). Finally an illustartive example is given to verfy the developped algorithm and to demonstrate its practicality and effectiveness.
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  42.  75
    Neutrosophic Regular Filters and Fuzzy Regular Filters in Pseudo-BCI Algebras.Xiaohong Zhang, Yingcan Ma & F. Smarandache - 2017 - Neutrosophic Sets and Systems 17:10-15.
    Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indetermi nacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics. Recently, we applied neutrosophic set theory to pseudo-BCI al gebras. In this paper, we study neutrosophic filters in pseudo-BCI algebras. The concepts of neutrosophic regular filter, neutrosophic closed filter and fuzzy regular filter in pseudo-BCI algebras are introduced, and some basic properties (...)
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  43. Neutrosophic Refined Similarity Measure Based on Cosine Function.Said Broumi & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 6:42-48.
    In this paper, the cosine similarity measure of neutrosophic refined (multi-) sets is proposed and its properties are studied. The concept of this cosine similarity measure of neutrosophic refined sets is the extension of improved cosine similarity measure of single valued neutrosophic. Finally, using this cosine similarity measure of neutrosophic refined set, the application of medical diagnosis is presented.
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  44. Collected Papers (on Neutrosophics, Plithogenics, Hypersoft Set, Hypergraphs, and other topics), Volume X.Florentin Smarandache - 2022 - Miami, FL, USA: Global Knowledge.
    This tenth volume of Collected Papers includes 86 papers in English and Spanish languages comprising 972 pages, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali Safaa Sadiq, Anirudha Ghosh, Assia Bakali, Atiqe Ur Rahman, Laura Bogdan, Willem K.M. Brauers, Erick González Caballero, Fausto Cavallaro, Gavrilă Calefariu, T. Chalapathi, Victor Christianto, Mihaela Colhon, Sergiu Boris Cononovici, Mamoni Dhar, Irfan Deli, Rebeca Escobar-Jara, Alexandru Gal, N. (...)
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  45.  50
    Using Neutrosophic Trait Measures to Analyze Impostor Syndrome in College Students after COVID-19 Pandemic with Machine Learning.Riya Eliza Shaju, Meghana Dirisala, Muhammad Ali Najjar, Ilanthenral Kandasamy, Vasantha Kandasamy & Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 60:317-334.
    Impostor syndrome or Impostor phenomenon is a belief that a person thinks their success is due to luck or external factors, not their abilities. This psychological trait is present in certain groups like women. In this paper, we propose a neutrosophic trait measure to represent the psychological concept of the trait-anti trait using refined neutrosophic sets. This study analysed a group of 200 undergraduate students for impostor syndrome, perfectionism, introversion and self-esteem: after the COVID pandemic break in 2021. (...)
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  46. Neutrosophic Association Rule Mining Algorithm for Big Data Analysis.Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache & Victor Chang - 2018 - Symmetry 10 (4):1-19.
    Big Data is a large-sized and complex dataset, which cannot be managed using traditional data processing tools. Mining process of big data is the ability to extract valuable information from these large datasets. Association rule mining is a type of data mining process, which is indented to determine interesting associations between items and to establish a set of association rules whose support is greater than a specific threshold. The classical association rules can only be extracted from binary data where an (...)
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  47.  99
    Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making.Kalyan Modal, Surapati Pramanik & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 13:105-117.
    This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency. In this paper, a new approach for multi-attribute group decision making problems is proposed by extending the TOPSIS method under rough neutrosophic environment. Rough neutrosophic set is characterized by the upper and lower (...)
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  48.  69
    Neutrosophic Lattices.Vasantha Kandasamy & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 2:42-47.
    In this paper authors for the first time define a new notion called neutrosophic lattices. We define few properties related with them. Three types of neutrosophic lattices are defined and the special properties about these new class of lattices are discussed and developed. This paper is organised into three sections. First section introduces the concept of partially ordered neutrosophic set and neutrosophic lattices. Section two introduces different types of neutrosophic lattices and the final section studies (...)
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  49.  76
    On Neutrosophic Implications.Said Broumi & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 2:9-17.
    In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven.
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  50. Neutrosophic Cubic MCGDM Method Based on Similiarity Measure.Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy & F. Smarandache - 2017 - Neutrosophic Sets and Systems 16:44-56.
    The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and interval valued neutrosophic set. We define similarity measure for neutrosophic cubic sets and prove some of its basic properties. We present a new multi criteria group decision making method with linguistic variables in neutrosophic cubic set environment. Finally, we present a numerical example to demonstrate the usefulness and applicability of the proposed method.
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