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Connectedness Between Soft Sets [PDF]
New Mathematics and Natural Computation, 2018 In the present paper, the concepts of soft connectedness between soft sets, soft set-connected and soft weakly continuous mappings in soft topological spaces have been introduced and studied.
Samajh Singh Thakur, Alpa Singh Rajput
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Journal of Intelligent & Fuzzy Systems, 2021
The Pythagorean fuzzy soft sets (PFSS) is a parametrized family and one of the appropriate extensions of the Pythagorean fuzzy sets (PFS). It’s also a generalization of intuitionistic fuzzy soft sets, used to accurately assess deficiencies, uncertainties,
R. M. Zulqarnain +3 more
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The Pythagorean fuzzy soft sets (PFSS) is a parametrized family and one of the appropriate extensions of the Pythagorean fuzzy sets (PFS). It’s also a generalization of intuitionistic fuzzy soft sets, used to accurately assess deficiencies, uncertainties,
R. M. Zulqarnain +3 more
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Exclusive disjunctive soft sets [PDF]
Computers and Mathematics With Applications, 2010 Soft sets theory, initiated by Molodtsov, is an emerging tool to deal with uncertain problems and has been studied by scholars in both theory and practice.
Ke Gong
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Fuzzy Soft Set and Soft Fuzzy Set
2008 Fourth International Conference on Natural Computation, 2008In this paper the concept of soft fuzzy set is given and an example is presented which testifies the existing significance of soft fuzzy set. Then some properties on soft fuzzy set are discussed. At last the relations of fuzzy soft sets and soft fuzzy sets are compared by instances.
Bingxue Yao +2 more
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On Induced Soft Sets and Topology for the Parameter Set of a Soft Set
2015 IEEE International Conference on Computer and Information Technology; Ubiquitous Computing and Communications; Dependable, Autonomic and Secure Computing; Pervasive Intelligence and Computing, 2015Soft sets can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we introduce the concept of induced soft set based on point-set mapping, some operations on induced soft sets are discussed, and the algebraic structures of induced soft sets, e.g., the lattice structure and the soft quotient algebra, are established. Based on
Zhicai Liu +3 more
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2008
Molodtsov introduced the concept of soft sets.Recently, Aktas et al. generalized soft sets by defining the concept of soft groups. In this paper, we present the definition of soft modules and construct some basic properties using modules and Molodtsov's definition of soft sets.
Qiu-Mei Sun, Zi-Long Zhang, Jing Liu
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Molodtsov introduced the concept of soft sets.Recently, Aktas et al. generalized soft sets by defining the concept of soft groups. In this paper, we present the definition of soft modules and construct some basic properties using modules and Molodtsov's definition of soft sets.
Qiu-Mei Sun, Zi-Long Zhang, Jing Liu
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Journal of Intelligent & Fuzzy Systems, 2015
Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper, we consider some category-theoretic properties of the category of all soft sets, with morphisms between them. We also characterize several kinds of epimorphisms and monomorphisms.
Rajab Ali Borzooei +2 more
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Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper, we consider some category-theoretic properties of the category of all soft sets, with morphisms between them. We also characterize several kinds of epimorphisms and monomorphisms.
Rajab Ali Borzooei +2 more
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IEEE transactions on fuzzy systems, 2019
The existing definition of generalized intuitionistic fuzzy soft sets (GIFSSs) is clarified and reformulated as a combination of an IFSS over the universe of discourse and an intuitionistic fuzzy set in the parameter set.
F. Feng +4 more
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The existing definition of generalized intuitionistic fuzzy soft sets (GIFSSs) is clarified and reformulated as a combination of an IFSS over the universe of discourse and an intuitionistic fuzzy set in the parameter set.
F. Feng +4 more
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2010 IEEE International Conference on Granular Computing, 2010
In this paper, we incorporate Molodtsov’s soft set theory with probability theory and then propose the notion of probabilistic soft sets. We provide some examples of probabilistic soft sets, which seem difficult to be described by the standard soft set and its variants in the literature.
Ping Zhu 0001, Qiaoyan Wen
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In this paper, we incorporate Molodtsov’s soft set theory with probability theory and then propose the notion of probabilistic soft sets. We provide some examples of probabilistic soft sets, which seem difficult to be described by the standard soft set and its variants in the literature.
Ping Zhu 0001, Qiaoyan Wen
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Comparison of the concepts of soft set, fuzzy soft set and L-fuzzy set
2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011This paper consists of two related but independent parts: (1) Characterizing separation axioms of topological spaces with soft sets. (2) Comparing the concepts of soft set, fuzzy soft set and L-fuzzy set.
Li Fu, Pingshu Wang
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