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Soft set theory—First results

TLDR
The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Abstract
The soft set theory offers a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the theory, and to discuss some problems of the future.

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Citations
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Distance and distance induced intuitionistic entropy of generalized intuitionistic fuzzy soft sets

TL;DR: The axiomatic definitions of the distance measure is introduced and subsequently used to define the similarity measure and intuitionistic entropy induced by this distance measure and some of the algebraic properties of these measures are verified.
Journal ArticleDOI

Generalized vague soft expert set

TL;DR: The basic operations of generalized vague soft expert set theory "AND" and "OR" operations are defined along with illustrative examples.
Journal ArticleDOI

On some generated soft topological spaces and soft homogeneity.

TL;DR: It is introduced soft homogeneity as an extension of homogeneity in ordinary topological spaces and soft minimal open set and homogeneity relation between the generated soft topology and the given indexed family of topologies.

Theory of Fuzzy Soft Sets from a New Perspective

TL;DR: The notion of union and intersection offuzzy sets proposed by Baruah is improved and the concept of complement of a fuzzy set when the fuzzyreference function is not zero is generalized.
Journal ArticleDOI

Linguistic value soft set-based approach to multiple criteria group decision-making

TL;DR: A new generalization of Molodtsov's soft set concept, named linguistic value soft set, is considered by introducing a linguistic variable to the definition of soft set theory, establishing a new approach to multiple criteria group decision-making problems with linguistic value information.
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