Journal ArticleDOI
On intuitionistic fuzzy topological spaces
TLDR
The originality and value of IFT are here demonstrated, which show that the results obtained by various authors on intuitionistic fuzzy topological spaces (IFTSs), are not redundant with others for the ordinary fuzzy sense.Abstract:
Purpose – In 2000, Wang and He published an important result on the theory of intuitionistic fuzzy sets (IFSs) Indeed, they showed that every IFS may be regarded as an L‐fuzzy set for some appropriate lattice L This paper aims to show that, nevertheless, the results obtained by various authors on intuitionistic fuzzy topological spaces (IFTSs), are not redundant with others for the ordinary fuzzy senseDesign/methodology/approach – The most important definitions and results on intuitionistic fuzzy topology (IFT) one compared with the result obtained by Wang and HeFindings – That these results are not redundantResearch limitations/implications – Clearly, this paper is devoted to IFTSsPractical implications – The main applications are in the mathematical fieldOriginality/value – The originality and value of IFT are here demonstratedread more
Citations
More filters
Journal ArticleDOI
On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces
TL;DR: This paper studies the concept of ideal convergence and ideal Cauchy for double sequences in intuitionistic fuzzy normed spaces and shows that ideal convergence is more general than statistical convergence for single or double sequences.
Journal ArticleDOI
Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces
TL;DR: In this paper, the authors extend and improve some coupled coincidence point theorems of Gordji et al. for nonlinear contraction mappings satisfying commutative condition in intuitionistic fuzzy normed spaces.
Journal ArticleDOI
On neutrosophic topology
TL;DR: In this article, a relation between the intuitionistic fuzzy topology (IFT) on an IFS and the neutrosophic topology is studied, and the possible relation between IFT and NSs is shown.
Journal ArticleDOI
Non-Archimedean L-fuzzy normed spaces and stability of functional equations
Reza Saadati,Choonkil Park +1 more
TL;DR: The Hyers-Ulam-Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces is proved.
Journal ArticleDOI
Intuitionistic H-fuzzy relations
TL;DR: It is shown that IRel(H) satisfies all the conditions of a topological universe over Set except the terminal separator property and IRel (H) is cartesian closed over Set.
References
More filters
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Intuitionistic Fuzzy Sets: Theory and Applications
TL;DR: The basic definitions and properties of the Intuitionistic Fuzzy Sets (IFSs) are introduced in the book and readers will find discussions on some of the IFS extensions (for example, interval-values IFSs, temporal I FSs and others) and applications.
Journal ArticleDOI
An introduction to intuitionistic fuzzy topological spaces
TL;DR: The basic concepts of the so-called “intuitionistic fuzzy topological spaces” are constructed, the definitions of fuzzy continuity, fuzzy compactness, fuzzy connectedness and fuzzy Hausdorff space are introduced, and several preservation properties and some characterizations concerning fuzzy compactity and fuzzyconnectedness are obtained.
Journal ArticleDOI
Intuitionistic fuzzy sets and L -fuzzy sets
Guo-Jun Wang,Ying-Yu He +1 more
TL;DR: This paper proves that the concepts of intuitionistic fuzzy sets and intuitionistic L-fuzzy sets and the concept of L-magnitude sets are equivalent.
Journal Article
The category of intuitionistic fuzzy topological spaces
Seok Jong Lee,Eun-Pyo Lee +1 more
TL;DR: This paper investigates the properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and shows that the category of Chang's fuzzyTopological spaces is a bireflective full subcategory of that of intuitionistic fuzzier spaces.