ON Fuzzy Infra-Semiopen Sets

Authors

  • Hakeem A. Othman (1) Department of Mathematics, Al-Qunfudah Center for Scientific Research, AL-Qunfudhah University college, Umm Al-Qura University, KSA. (2) Department of Mathematics, Rada’a College of Education and Science, Albaydaa University, Albaydaa, Yemen.

Keywords:

fuzzy closure, fuzzy interior, fuzzy infra-semiopen set, fuzzy infrasemiclosed set, fuzzy infra-semicontinuous function, infra-semi-irresolute function, fuzzy infra-semiopen function, fuzzy infra-semiclosed function, fuzzy infra-semiconnected

Abstract

The notions of closure∗ and interior∗ operators are extended to a fuzzy topology. We start with new concepts called fuzzy infra-semiopen (infra-semiclosed) sets. In applying these concepts, new sorts of fuzzy continuous functions, namely, fuzzy infra-semicontinuous, infra-semi-irresolute and fuzzy infra-semiopen (infra-semiclosed) functions are introduced. A detail study is carried out on properties of these new concepts. The relationship between these concepts and others are discussed and the inverse of these relations are illustrated with examples. Finally, the concept of fuzzy infra-semiconnected are presented. 

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Published

2016-12-31

Issue

Vol. 48 No. 2 (2016)

Section

Articles

License

Copyright (c) 2016 Hakeem A. Othman

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

ON Fuzzy Infra-Semiopen Sets. (2016). Punjab University Journal of Mathematics, 48(2), 1-10. https://pujm.pu.edu.pk/index.php/pujm/article/view/66