Neutrosophic Set and Neutrosophic Topological Spaces [PDF]
, 2012 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,
Salama, A. A., Alblowi, S. A.
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Single Valued Neutrosophic Hesitant Fuzzy Rough Set and Its Application
, 2019 In this paper, we proposed the notion of single valued neutrosophic hesitant fuzzy rough set, by combining single valued neutrosophic hesitant fuzzy set and rough set.
N. O. Alshehri, K. M. Alsager
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A Novel and an Efficient CODAS Technique to Solve Real-Life MAGDM Problems in Fermatean Neutrosophic Environment [PDF]
Neutrosophic Sets and SystemsAs a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets, and their combinations have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world.
S. Bhuvaneshwari +5 more
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Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset
, 2016 Neutrosophic Over-/Under-/Off-Set and -Logic were defined for the first time by Smarandache in 1995 and published in 2007. They are totally different from other sets/logics/probabilities.
Smarandache, Florentin
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Single-Valued Neutrosophic Clustering Algorithm Based on Tsallis Entropy Maximization
Axioms, 2018 Data clustering is an important field in pattern recognition and machine learning. Fuzzy c-means is considered as a useful tool in data clustering. The neutrosophic set, which is an extension of the fuzzy set, has received extensive attention in solving ...
Qiaoyan Li +3 more
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A Unified Framework of Fuzzy Neutrosophic Supra Set , Turiyam Set For Advanced Medical Diagnosis
Neutrosophic Sets and SystemsIn this paper focus of the fuzzy neutrosophic supra set is an advanced mathematical concept that merges fuzzy set theory, neutrosophic logic and supra topology to address uncertainty, vagueness and indeterminacy more effectively than classical structures.
Poongothai Eswaran +2 more
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Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making [PDF]
, 2016 This paper is devoted to propose triangular fuzzy number neutrosophic sets by combining triangular fuzzy numbers with single valued neutrosophic set and define some of its operational ...
Surapati Pramanik +5 more
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Fermatean neutrosophic rough set [PDF]
Computational Algorithms and Numerical DimensionsIn order to balance uncertainty, a reasonable approximation of a crisp set that yields lower as well as upper approximations of the set is made. Here, first, a special class of Fermatean Neutrosophic Set is devised by associating the Neutrosophic Set ...
S Bhuvaneshwari +2 more
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Application of Neutrosophic Set Theory in Generalized Assignment Problem [PDF]
Neutrosophic Sets and Systems, 2015 This paper presents the application of Neutrosophic Set Theory (NST) in solving Generalized Assignment Problem (GAP). GAP has been solved earlier under fuzzy environment. NST is a generalization of the concept of classical set, fuzzy set, interval-valued
Supriya Kar, Kajla Basu, Sathi Mukherjee
doaj
Applications of sets and functions by using an open sets in Fuzzy neutrosophic topological spaces
Neutrosophic Sets and SystemsThe definitions provided by the authors of the current study are offered together with a discussion of the recent advances that they have contributed. We begin with an introduction to 𝑓𝑛Fr#bϱN , which includes the concepts of closed and open sets. We explore characteristics in 𝑓𝑛-βd#bϱN and 𝑓𝑛-℮bϱN (ϱN), and provide an idea of obtained results by ...
P. Basker, Broumi Said, J. Vennila
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