Fuzzy Sets, Fuzzy S-Open and S-Closed Mappings

Author:

Ahmad B.12,Kharal Athar1ORCID

Affiliation:

1. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan

2. Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

Several properties of fuzzy semiclosure and fuzzy semi-interior of fuzzy sets defined by Yalvac (1988), have been established and supported by counterexamples. We also study the characterizations and properties of fuzzy semi-open and fuzzy semi-closed sets. Moreover, we define fuzzy s-open and fuzzy s-closed mappings and give some interesting characterizations.

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

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