Results 281 to 289 of about 380,278 (289)

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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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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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.
Aktas, Hacı, Cagman, Naim
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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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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.
M. Mobini, Rajab Ali Borzooei, M. M. Ebrahimi   +2 more
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Soft Sets and Soft MTL-Algebras

2011 International Conference on Internet Technology and Applications, 2011
Abstract-In this paper,we apply the soft set theory intruduced by Molodtsov in 1999 to the theory of MTL-algebras .For this,the notion of soft MTL-algebras and soft MTL-subalgebras are introduced and some related properties are derived.
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