On FuzzySp-Open Sets-Reference-Cited by-同舟云学术

On FuzzySp-Open Sets

Published:2011 Issue: Volume:2011 Page:1-5
ISSN:1687-7101
Container-title:Advances in Fuzzy Systems
language:en
Short-container-title:Advances in Fuzzy Systems

Author:

Othman Hakeem A.¹²

Affiliation:

1. Department of Mathematics, Rada'a College of Education and Science, Albida, Yemen

2. Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia

Abstract

A new class of generalized fuzzy open sets in fuzzy topological space, called fuzzysp-open sets, are introduced, and their properties are studied and the relationship between this new concept and other weaker forms of fuzzy open sets we discussed. Moreover, we introduce the fuzzysp-continuous (resp., fuzzysp-open) mapping and other stronger forms ofsp-continuous (resp., fuzzysp-open) mapping and establish their various characteristic properties. Finally, we study the relationships between all these mappings and other weaker forms of fuzzy continuous mapping and introduce fuzzysp-connected. Counter examples are given to show the noncoincidence of these sets and mappings.

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://downloads.hindawi.com/journals/afs/2011/768028.pdf

Reference7 articles.

1. On the various decompositions of continuous and some weakly continuous functions

2. Separation axioms, subspaces and sums in fuzzy topology

3. On fuzzy strong semicontinuity and fuzzy precontinuity

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