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Ordinary interval-valued fuzzifying topological spaces

S. H. Han|J. I. Baek|M. Cheong|D. L. Shi|Kul Hur
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제25권 제2호|pp. 175-203|DOI 10.30948/afmi.2023.25.2.175

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참고문헌

키워드

$Ordinary interval-valued fuzzifying (co)topologyOrdinary interval-valued fuzzifying subspacewidetilde{a}$-levelOrdinary interval-valued fuzzifying baseOrdinary interval-valued fuzzifying subbase

초록

We introduce the concept of ordinary interval-valued fuzzifying topology and obtain some of its basic properties. We show that a neighborhood system in ordinary interval-valued fuzzifying topological spaces has the same properties in a classical neighborhood system. Also, we obtain two characterization of an ordinary interval-valued fuzzifying base and one characterization of an ordinary interval-valued fuzzifying subbase. We define an ordinary interval-valued fuzzifying closure and prove that an ordinary interval-valued fuzzifying topology induced by an ordinary interval-valued fuzzifying closure operator.

Abstract

We introduce the concept of ordinary interval-valued fuzzifying topology and obtain some of its basic properties. We show that a neighborhood system in ordinary interval-valued fuzzifying topological spaces has the same properties in a classical neighborhood system. Also, we obtain two characterization of an ordinary interval-valued fuzzifying base and one characterization of an ordinary interval-valued fuzzifying subbase. We define an ordinary interval-valued fuzzifying closure and prove that an ordinary interval-valued fuzzifying topology induced by an ordinary interval-valued fuzzifying closure operator.

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