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On similarity and entropy of neutrosophic sets [PDF]
Journal of Intelligent & Fuzzy Systems, 2014 In this paper we have introduced the notion of distance between two single valued neutrosophic sets and studied its properties. We have also defined several similarity measures between them and investigated their characteristics. A measure of entropy of a single valued neutrosophic set has also been introduced.
Pinaki Majumdar, Syamal Kumar Samanta
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δ -equalities of neutrosophic sets
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016Fuzzy sets and intuitionistic fuzzy sets can't handle imprecise, indeterminate, inconsistent, and incomplete information. Neutrosophic sets play an important role to overcome this difficulty. A neutrosophic set has a truth membership function, indeterminate membership function, and a falsehood membership functions that can handle all types of ambiguous
Mumtaz Ali +2 more
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Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets
2016Refined neutrosophic sets (RNS) are a generalization of a neutrosophic sets, intuitionistic fuzzy sets, fuzzy sets, intuitionistic fuzzy multi-sets and fuzzy multi-sets. Similarly, refined neutrosophic soft sets (RNSS) are a generalization of a neutrosophic soft sets, intuitionistic fuzzy soft sets, fuzzy soft sets, intuitionistic fuzzy soft multi-sets
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Neutrosophic Power-Set and Neutrosophic HyperStructure of Neutrosophic Set of Three Types
Annals of Pure and Applied MathematicsThis paper aims to further develop neutrosophic set theory as an extension of classical set theory, focusing on integrating the concept of indeterminacy and constructing mathematical frameworks. It introduces the neutrosophic number (𝑎 + 𝑏𝐼), a foundation for structures like neutrosophic algebra, sets, and operations.
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2017
Neutrosophic sets and Logic plays a significant role in approximation theory. It is a generalization of fuzzy sets and intuitionistic fuzzy set. Neutrosophic set is based on the neutrosophic philosophy in which every idea Z, has opposite denoted as anti(Z) and its neutral which is denoted as neut(Z).
Mumtaz Ali +2 more
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Neutrosophic sets and Logic plays a significant role in approximation theory. It is a generalization of fuzzy sets and intuitionistic fuzzy set. Neutrosophic set is based on the neutrosophic philosophy in which every idea Z, has opposite denoted as anti(Z) and its neutral which is denoted as neut(Z).
Mumtaz Ali +2 more
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Lobachevskii Journal of Mathematics
In recent years, mathematical theories and tools specifically aimed at solving complex real-world problems and the consequent representation of models characterized by a certain degree of ambiguity, uncertainty and vagueness have assumed an increasingly important role in the landscape of pure and applied science disciplines.
Giorgio Nordo, Hovik A. Matevossian
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In recent years, mathematical theories and tools specifically aimed at solving complex real-world problems and the consequent representation of models characterized by a certain degree of ambiguity, uncertainty and vagueness have assumed an increasingly important role in the landscape of pure and applied science disciplines.
Giorgio Nordo, Hovik A. Matevossian
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International Conference on Modern Problems of Mathematics, Mechanics and their Applications
Abstract. We define the concept of neutrosophic topology (cotopology) on X obtain that each neutrosophic topology is a descending family of topologies. Later in the paper, we introduce the concepts of base and subbase in neutrosophic topological space of sets.
Kemale Veliyeva +2 more
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Abstract. We define the concept of neutrosophic topology (cotopology) on X obtain that each neutrosophic topology is a descending family of topologies. Later in the paper, we introduce the concepts of base and subbase in neutrosophic topological space of sets.
Kemale Veliyeva +2 more
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A new approach to neutrosophic soft rough sets
Knowledge and Information Systems, 2023Adem Yolcu, Taha Yasin OZTURK
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