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Alexandrov L-preuniform filter spaces

Yong Chan Kim|Ju-Mok Oh
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제1호|pp. 37-51|DOI 10.30948/afmi.2022.23.1.37

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참고문헌

키워드

Fuzzy join(meet)-complete latticesL-fuzzy preordered setsAlexandrov L-(neighborhood) filtersAlexandrov L-preuniform filter structuresAlexandrov L-topologies

초록

In this paper, we introduce the notion of Alexandrov L-(neighborhood) filters and Alexandrov L-preuniform filters as a topological viewpoint of fuzzy rough sets. We investigate the relations among Alexandrov L-neighborhood filters, L-fuzzy preorders and Alexandrov L-preuniform filter structures. Moreover, we investigate their topological properties and give their examples. As an application for a fuzzy information system, Alexandrov $L$-neighborhood filters, L-fuzzy preorders and Alexandrov L-preuniform filters are studied.

Abstract

In this paper, we introduce the notion of Alexandrov L-(neighborhood) filters and Alexandrov L-preuniform filters as a topological viewpoint of fuzzy rough sets. We investigate the relations among Alexandrov L-neighborhood filters, L-fuzzy preorders and Alexandrov L-preuniform filter structures. Moreover, we investigate their topological properties and give their examples. As an application for a fuzzy information system, Alexandrov $L$-neighborhood filters, L-fuzzy preorders and Alexandrov L-preuniform filters are studied.

참고문헌 (33)

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