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Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets

2016
Refined 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 Mathematics
This 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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Exercise Recommendation Based on Cognitive Diagnosis and Neutrosophic Set

International Conference on Computer Supported Cooperative Work in Design, 2022
Hua Ma   +3 more
semanticscholar   +1 more source

Neutrosophic Sets and Logic

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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On Soft and Neutrosophic Sets

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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Uncertainty assessments of linear time-cost tradeoffs using neutrosophic set

Computers & industrial engineering, 2020
Mohamed Abdel-Basset   +2 more
semanticscholar   +1 more source

NEUTROSOPHİC TOPOLOGY ON SETS

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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