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

• Main Authors: Al-Omeri Wadei F., Khalil O. H., Ghareeb A.
• Format: Article
• Language: English
• Published: De Gruyter 2018-09-01
• Series: Demonstratio Mathematica
• Subjects: (L; M)-fuzzy pretopology; M)-fuzzy semi-preopen operator; M)-fuzzy semi-precontinuous function; M)-fuzzy semi-preirresolute function; 03E72; 54A40; 54C20
• Online Access: http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0014/dema-2018-0014.xml?format=INT

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.