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Soft Sets and Soft Modules [PDF]

, 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.
Jing Liu, Zi-Long Zhang, Qiu-Mei Sun
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Logic Connectives for Soft Sets and Fuzzy Soft Sets

IEEE Transactions on Fuzzy Systems, 2014
Collections 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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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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Groups of soft sets

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 inverse group of soft sets ...
AYGÜN, Emin, Atagun, Akin Osman
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Semantics of soft sets and three-way decision with soft sets

Knowledge-Based Systems, 2020
Abstract 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, Jilin Yang, Yiyu Yao
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The applications of vague soft sets and generalized vague soft sets

Acta Mathematicae Applicatae Sinica, English Series, 2015
The problem of decision making in an imprecise environment has found paramount importance in recent years. In this paper, we define vague soft relation and similarity measure of vague soft sets. Using these definitions, some novel methods of object recognition from an imprecise multiobserver data has been presented. Moreover, we introduce the notion of
Chang Wang, An-jing Qu
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An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making

Journal of Intelligent & Fuzzy Systems, 2019
The basic idea underneath the generalized picture fuzzy soft set is very constructive in decision-making, since it considers, how to exploit an extra picture fuzzy input from the director to make up for any distortion in the information provided by the ...
Muhammad Jabir Khan, Poom Kumam, Peide Liu, W. Kumam, H. Rehman   +4 more
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The relationship among soft sets, soft rough sets and topologies

Soft Computing, 2013
Molodtsov's soft set theory is a newly emerging tool to deal with uncertain problems. Based on the novel granulation structures called soft approximation spaces, Feng et al. initiated soft rough approximations and soft rough sets. Feng's soft rough sets can be seen as a generalized rough set model based on soft sets, which could provide better ...
Tusheng Xie, Zhaowen Li
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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.
Fu Li, Wang Pingshu
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Possibility Pythagorean fuzzy soft set and its application

Journal of Intelligent & Fuzzy Systems, 2019
In this paper, we propose the theory of possibility Pythagorean fuzzy soft set and define some related the operations concerning this notion including the complement, union, intersection, AND and OR. Then a similarity measure is introduced to compare two
Duojie Jia-hua, Haidong Zhang, Yanping He   +2 more
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