Degree of (L, M)-fuzzy semi-precontinuous and (L, M)-fuzzy semi-preirresolute functions

• Autorzy: Al-Omeri W. F. , Khalil O. H. , Ghareeb A.

Identyfikatory

DOI

10.1515/dema-2018-0014

• Języki publikacji: EN

Abstrakty

EN

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 semi-precompactness, semi-preconnectedness and semi-preseparation axioms.

Słowa kluczowe

EN

(L, M)-fuzzy pretopology; (L, M)-fuzzy semi-preopen operator; (L, M)-fuzzy semi-precontinuous function; (L, M)-fuzzy semi-preirresolute function

PL

przestrzeń topologiczna; pretopologia

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 182--197
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Al-Omeri W. F.

• Department of Mathematics, Al-Balqa Applied University, Salt 19117, Jordan

autor

Khalil O. H.

• Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
• Department of Mathematics, Faculty of Science in Al-Zulfi, Majmaah University, 11952, Saudi Arabia

autor

Ghareeb A.

• Department of Mathematics, Faculty of science, South Valley University, Qena, Egypt
• Department of Mathematics, College of science, Al-Baha University, Al-Baha, Saudi Arabia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).