Degree of (L, M)-Fuzzy Semi-Precontinuous and (L, M)-Fuzzy Semi-Preirresolute Functions

Al-Omeri Wadei F.; Khalil O. H.; Ghareeb A.

doi:10.1515/dema-2018-0014

Demonstratio Mathematica (Sep 2018)

Degree of (L, M)-Fuzzy Semi-Precontinuous and (L, M)-Fuzzy Semi-Preirresolute Functions

Al-Omeri Wadei F.,
Khalil O. H.,
Ghareeb A.

Affiliations

Al-Omeri Wadei F.: Department of Mathematics, Al-Balqa Applied University,Salt, Jordan
Khalil O. H.: Department of Mathematics, Faculty of Science, Beni-Suef University,Beni-Suef, Egypt
Ghareeb A.: Department of Mathematics, Faculty of science, South Valley University,Qena, Egypt

DOI: https://doi.org/10.1515/dema-2018-0014
Journal volume & issue: Vol. 51, no. 1
pp. 182 – 197

Abstract

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The aim of this paper is to present the degree of semi-preopenness, semi-precontinuity, and semi-preirresoluteness for functions in (L, M)-fuzzy pretopology with the help of implication operation and (L, M)-fuzzy semi-preopen operator introduced by [Ghareeb A., L-fuzzy semi-preopen operator in L-fuzzy topological spaces, Neural Comput. & Appl., 2012, 21, 87-92]. Further, we generalize the properties of semi-preopenness, semi-precontinuity and semi-preirresoluteness to (L, M)-fuzzy pretopological setting relying on graded concepts. Also, we discuss their relationships with the corresponding degrees of semiprecompactness, semi-preconnectedness and semi-preseparation axioms.

Published in Demonstratio Mathematica

ISSN: 2391-4661 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/dema/html

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