Results 251 to 260 of about 163,495 (283)
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A note on soft sets, rough soft sets and fuzzy soft sets
Applied Soft Computing Journal, 2011Abstract: Concept of an approximation space associated with each parameter in a soft set is discussed and an approximation space associated with the soft set is defined. For any subset X of the universe U, there is a fuzzy subset of U associated with each parameter of the soft set, also there is a fuzzy subset associated with the soft set.
Muhammad Irfan Ali
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Logic Connectives for Soft Sets and Fuzzy Soft Sets
IEEE Transactions on Fuzzy Systems, 2014Collections of soft sets and fuzzy soft sets are complete modular lattices with respect to certain binary operations. Therefore, logic connectives such as Triangular norms, Triangular conorms, and implications may be studied for them. A major hurdle in this study is that soft sets and fuzzy soft sets are not sets and fuzzy sets, respectively. Actually,
Muhammad Irfan Ali
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On Two Classes of Soft Sets in Soft Topological Spaces
Symmetry, 2020 In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known ...
Samer Al Ghour, Al Ghour Samer
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Exclusive disjunctive soft sets
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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The relationship among soft sets, soft rough sets and topologies
Soft Computing, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhaowen Li, Li Zhaowen
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Semantics of soft sets and three-way decision with soft sets
Knowledge-Based Systems, 2020Abstract The theory of three-way decision provides an effective tool for decision-making under uncertainty and incomplete information, when a two-way decision is difficult to make. Soft sets conceptualize and represent special types of uncertainty.
Jilin Yang, Yiyu Yao
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An $N$-Soft Set Approach to Rough Sets
IEEE Transactions on Fuzzy Systems, 2020 The philosophy of soft sets is founded on the fundamental idea of parameterization, while Pawlak?s rough sets put more emphasis on the importance of granulation. As a multi-valued extension of soft sets, the newly emerging concept called N-soft sets can provide a finer granular structure with higher distinguishable power.
JOSÉ Carlos R Alcantud +2 more
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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
openaire +1 more source