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On L-fuzzy pre-proximities and L-fuzzy interior operators

A. A. Ramadan|M. A. Usama|M. A. Reham
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제17권 제2호|pp. 191-204|DOI 10.30948/afmi.2019.17.2.191

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참고문헌

키워드

Complete residuated latticeL-fuzzy pre-proximityL-fuzzy interior operatorsGalois correspondence

초록

In this paper, we introduce the notions of $L$-fuzzy pre-proximities, $L$-fuzzy interior operators in complete residuated lattices. Moreover, we investigate the relations among the $L$-fuzzy pre-proximities, $L$-fuzzy interior operators and $L$-fuzzy topologies. We show that there is a Galois correspondence between the category of separated $L$-fuzzy interior spaces and that of separated $L$-fuzzy pre-proximity spaces.

Abstract

In this paper, we introduce the notions of $L$-fuzzy pre-proximities, $L$-fuzzy interior operators in complete residuated lattices. Moreover, we investigate the relations among the $L$-fuzzy pre-proximities, $L$-fuzzy interior operators and $L$-fuzzy topologies. We show that there is a Galois correspondence between the category of separated $L$-fuzzy interior spaces and that of separated $L$-fuzzy pre-proximity spaces.

참고문헌 (34)

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