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A note on soft sets, rough soft sets and fuzzy soft sets

Applied Soft Computing, 2011
Abstract: 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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The category of soft sets

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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Soft Sets and Soft Modules

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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Probabilistic Soft Sets

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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The relationship among soft sets, soft rough sets and topologies

Soft Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhaowen Li, Tusheng Xie
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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), 2011
This 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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Connectedness Between Soft Sets

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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Tolerance Soft Set Relation on a Soft Set and its Matrix Applications

Fundamenta Informaticae, 2017
In this paper the tolerance soft set relation on a soft set is defined and some examples are given with their matrix representations. Also, pre-class and tolerance class concepts for a given tolerance soft set relation are introduced and some examples related to these definitions are illustrated.
Polat, Nazan Çakmak   +2 more
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Hard and Soft Sets

1994
In this paper I would like to make some remarks on the concept of a set in the context of some recent developments concerning vagueness, imprecision and uncertainty.
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Soft decision making methods based on fuzzy sets and soft sets

Journal of Intelligent & Fuzzy Systems, 2016
In this paper, we propose soft decision making methods based on fuzzy and soft set theory. We also use matrix representation of the soft sets that is very useful for computations of the method. We finally present an example which shows that the method can be successfully applied to many problems that contain uncertainties.
Haci Aktas, Naim Çagman
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