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Open AccessJournal ArticleDOI

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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Journal ArticleDOI

Soft rough fuzzy sets and soft fuzzy rough sets

TL;DR: A new soft rough set model is proposed and its properties are derived and a more general model called soft fuzzy rough set is established.
Journal ArticleDOI

On soft mappings

TL;DR: Images and inverse images of crisp sets and soft sets under soft mappings are studied and an application of soft mapping in medical diagnosis has been shown.
Journal ArticleDOI

Possibility Fuzzy Soft Set

TL;DR: The concept of possibility fuzzy soft set and its operation is introduced and some of its properties are studied and applications of this theory in solving a decision-making problem are given.
Journal ArticleDOI

The multi-fuzzy soft set and its application in decision making

TL;DR: The purpose of this paper is to introduce the concept of multi-fuzzy soft sets, and the DeMorgan’s laws are proved.
Journal ArticleDOI

Mappings on fuzzy soft classes

TL;DR: The concept of a mapping on classes of fuzzySoft sets is defined and the properties of fuzzy soft images and fuzzy soft inverse images of fuzzysoft sets are studied.
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