Fuzzy Boundary and Fuzzy Semiboundary-Reference-Cited by-同舟云学术

Fuzzy Boundary and Fuzzy Semiboundary

Published:2008 Issue: Volume:2008 Page:1-9
ISSN:1687-7101
Container-title:Advances in Fuzzy Systems
language:en
Short-container-title:Advances in Fuzzy Systems

Author:

Athar M.¹^ORCID,Ahmad B.¹²

Affiliation:

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

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

Abstract

We present several properties of fuzzy boundary and fuzzy semiboundary which have been supported by examples. Properties of fuzzy semi-interior, fuzzy semiclosure, fuzzy boundary, and fuzzy semiboundary have been obtained in product-related spaces. We give necessary conditions for fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions. Moreover, fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions have been characterized via fuzzy-derived (resp., fuzzy-semiderived) sets.

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://downloads.hindawi.com/journals/afs/2008/586893.pdf

Reference26 articles.

1. Fuzzy sets

2. Fuzzy topological spaces

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5. On the uncertainty of Cantorian geometry and the two-slit experiment

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