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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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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, Muhammad Shabir
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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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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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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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Basic uncertain information soft set and its application to multi-criteria group decision making
Engineering applications of artificial intelligence, 2020The purpose of this paper is to develop a novel type of soft set called basic uncertain information soft set (BUISS), which combines the notion of basic uncertain information and soft set theory.
Zhifu Tao +4 more
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A note on soft sets, rough soft sets and fuzzy soft sets
Applied Soft Computing, 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.
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Journal of Intelligent & Fuzzy Systems, 2015
In this paper, we introduce two new operations on soft sets, called inverse production and characteristic production, by using Molodtsov’s definition of the soft sets. We prove that the set of all soft sets over a universe U is an abelian group under the each operations and called “the ...
Akin Osman Atagün, Emin Aygün
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In this paper, we introduce two new operations on soft sets, called inverse production and characteristic production, by using Molodtsov’s definition of the soft sets. We prove that the set of all soft sets over a universe U is an abelian group under the each operations and called “the ...
Akin Osman Atagün, Emin Aygün
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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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The relationship among soft sets, soft rough sets and topologies
Soft Computing, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhaowen Li, Tusheng Xie
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