M-fuzzifying convex quasi-uniform spaces

Autor:	Xiu-Yun Wu, Yu-Jie Niu, Hui-Min Zhang
Rok vydání:	2023
Předmět:	Statistics and Probability Artificial Intelligence General Engineering
Zdroj:	Journal of Intelligent & Fuzzy Systems. 44:4371-4382
ISSN:	1875-8967 1064-1246
DOI:	10.3233/jifs-223036
Popis:	In this paper, the notion of M-fuzzifying convex remotehood systems is introduced and characterizations of M-fuzzifying convex spaces are obtained. Further, notions of remote mappings and M-fuzzifying convex quasi-uniformities are introduced. It is proved that M-fuzzifying convex quasi-uniform space and M-fuzzifying convex space are mutually induced. In order to discuss categorical relationships among M-fuzzifying convex quasi-uniform spaces, M-fuzzifying convex remotehood spaces and M-fuzzifying convex spaces, notions of M-fuzzifying quasi-uniformizable convex structures and M-fuzzifying quasi-uniformizable convex remotehood spaces are presented. It is proved that the category of M-fuzzifying quasi-uniformizable convex spaces and the category of M-fuzzifying quasi-uniformizable convex remotehood spaces can be embedded into the category of M-fuzzifying convex quasi-uniform spaces as subcategories.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::498eabc43d71e3461fc7016f314be5c9 https://doi.org/10.3233/jifs-223036 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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