Ghareeb, A. (2019). Degree of F-irresolute function in (L, M)-fuzzy topological spaces. Iranian Journal of Fuzzy Systems, 16(4), 189-202. doi: 10.22111/ijfs.2019.4791

A. Ghareeb. "Degree of F-irresolute function in (L, M)-fuzzy topological spaces". Iranian Journal of Fuzzy Systems, 16, 4, 2019, 189-202. doi: 10.22111/ijfs.2019.4791

Ghareeb, A. (2019). 'Degree of F-irresolute function in (L, M)-fuzzy topological spaces', Iranian Journal of Fuzzy Systems, 16(4), pp. 189-202. doi: 10.22111/ijfs.2019.4791

Ghareeb, A. Degree of F-irresolute function in (L, M)-fuzzy topological spaces. Iranian Journal of Fuzzy Systems, 2019; 16(4): 189-202. doi: 10.22111/ijfs.2019.4791

Degree of F-irresolute function in (L, M)-fuzzy topological spaces

^{}Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

In this paper, we present a new vision for studying $\{F}$-open, $\{F}$-continuous, and $\{F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy $\{F}$-open operator \cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic discussion of their relationship with the degree of $\mathbf{F}$-compactness, $\{F}$-connectedness, $\{F}T_1$, and $\{F}T_2$ is carried out. }

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