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Journal cover: Kybernetes

Kybernetes

ISSN: 0368-492X

Online from: 1972

Subject Area: Electrical & Electronic Engineering

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On intuitionistic fuzzy topological spaces


Document Information:
Title:On intuitionistic fuzzy topological spaces
Author(s):Francisco Gallego Lupiáñez, (Department of Mathematics, University Complutense, Madrid, Spain)
Citation:Francisco Gallego Lupiáñez, (2006) "On intuitionistic fuzzy topological spaces", Kybernetes, Vol. 35 Iss: 5, pp.743 - 747
Keywords:Cybernetics, Fuzzy logic, Intuition, Topology
Article type:Research paper
DOI:10.1108/03684920610662494 (Permanent URL)
Publisher:Emerald Group Publishing Limited
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 sense.

Design/methodology/approach – The most important definitions and results on intuitionistic fuzzy topology (IFT) one compared with the result obtained by Wang and He.

Findings – That these results are not redundant.

Research limitations/implications – Clearly, this paper is devoted to IFTSs.

Practical implications – The main applications are in the mathematical field.

Originality/value – The originality and value of IFT are here demonstrated.



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