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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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Journal ArticleDOI

New Operations of Picture Fuzzy Relations and Fuzzy Comprehensive Evaluation

Chunxin Bo, +1 more
- 08 Nov 2017 - 
TL;DR: A new inclusion relation (called type-2 inclusion relation) of picture fuzzy relations is introduced, and a new method to solve picture fuzzy comprehensive evaluation problems is proposed by defining the new composition operation ofPicture fuzzy relations, and the picture fuzzy Comprehensive evaluation model is built.
Journal ArticleDOI

Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature

TL;DR: The attempt is made to provide a comprehensive systematic review of methodologies and applications of recent generalisations discussed in the area of fuzzy-rough set theory and the Web of Science database has been chosen to select the relevant papers.
Journal Article

Generalized vague soft set and its applications

TL;DR: The concept of generalized intuitionistic fuzzy soft set and its operation which are equal, subset, union and intersection are introduced and an application of generalized vague soft sets in decision making with respect to degree of preference is illustrated.
Posted Content

On Soft Mappings

TL;DR: In this paper, the authors introduce soft continuous mappings which are defined over an initial universe set with a fixed set of parameters, and study soft open and soft closed mappings, soft homeomorphism and investigate some properties of these concepts.
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