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Open AccessJournal ArticleDOI

Topological structure of fuzzy soft sets

Bekir Tanay, +1 more
- 01 May 2011 - 
- Vol. 61, Iss: 10, pp 2952-2957
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TLDR
In this paper, the concept of fuzzy soft topology is introduced and some of its structural properties such as neighborhood of a fuzzysoft set, interior fuzzy soft set, fuzzy soft basis, and fuzzy soft subspace topology are studied.
Abstract
In this paper, the concept of fuzzy soft topology is introduced and some of its structural properties such as neighborhood of a fuzzy soft set, interior fuzzy soft set, fuzzy soft basis, fuzzy soft subspace topology are studied.

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Citations
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Journal ArticleDOI

Soft semi-open sets and related properties in soft topological spaces

TL;DR: In this article, the properties of soft semi-open sets, semi-closed sets, and semi-interior sets are investigated and the relationship between soft sets and information systems is discussed.
Journal ArticleDOI

Intuitionistic fuzzy soft set theory and its decision making

TL;DR: This work first defined the intuitionistic fuzzy soft sets IFS-sets and their operations, then used them to give some results and construct a decision making method, which is useful to handle several realistic uncertain problems.
Journal Article

Fuzzy soft topology

TL;DR: It is shown that a fuzzy soft topological space gives a parametrized family of fuzzy topological spaces and that the constant mapping is not continuous in general.
Journal ArticleDOI

A novel approach to interval-valued intuitionistic fuzzy soft set based decision making

TL;DR: An adjustable approach to interval-valued intuitionistic fuzzy soft sets based decision making is developed and some numerical examples are provided to illustrate the developed approach.
Proceedings ArticleDOI

A Note on Fuzzy Soft Topological Spaces

TL;DR: The main aim of this paper is to give a characterization of the category of fuzzy soft topological spaces and their continuous mappings, denoted by FSTop, and it is shown that the category FSTOP is isomorphic to the category ASTOP.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI

Soft set theory—First results

TL;DR: 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.
Journal ArticleDOI

Soft set theory

TL;DR: The authors define equality of two soft sets, subset and super set of a soft set, complement of asoft set, null soft set and absolute soft set with examples and De Morgan's laws and a number of results are verified in soft set theory.
Journal ArticleDOI

On some new operations in soft set theory

TL;DR: This paper points out that several assertions in a previous paper by Maji et al. are not true in general, and gives some new notions such as the restricted intersection, the restricted union, therestricted difference and the extended intersection of two soft sets.