2021
DOI: 10.3390/sym13040611
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A New Representation of Semiopenness of L-fuzzy Sets in RL-fuzzy Bitopological Spaces

Abstract: In this paper, we introduce a new representation of semiopenness of L-fuzzy sets in RL-fuzzy bitopological spaces based on the concept of pseudo-complement. The concepts of pairwise RL-fuzzy semicontinuous and pairwise RL-fuzzy irresolute functions are extended and discussed based on the (i,j)-RL-semiopen gradation. Further, pairwise RL-fuzzy semi-compactness of an L-fuzzy set in RL-fuzzy bitopological spaces are given and characterized. As RL-fuzzy bitopology is a generalization of L-bitopology, RL-bitopology… Show more

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“…The concepts of β α -cover, strong β α -cover, Q α -cover, α-shading, strong α-shading, α-remote collection, and strong α-remote family [16] are extended to RL-topological spaces in [17] as follows:…”
Section: Preliminariesmentioning
confidence: 99%
“…The concepts of β α -cover, strong β α -cover, Q α -cover, α-shading, strong α-shading, α-remote collection, and strong α-remote family [16] are extended to RL-topological spaces in [17] as follows:…”
Section: Preliminariesmentioning
confidence: 99%