Fuzzifying bornological linear spaces

Autor: Cong-Hua Yan, Zhen-Yu Jin
Rok vydání: 2022
Předmět:
Zdroj: Journal of Intelligent & Fuzzy Systems. 42:2347-2358
ISSN: 1875-8967
1064-1246
DOI: 10.3233/jifs-211644
Popis: In this paper, a notion of fuzzifying bornological linear spaces is introduced and the necessary and sufficient condition for fuzzifying bornologies to be compatible with linear structure is discussed. The characterizations of convergence and separation in fuzzifying bornological linear spaces are showed. In particular, some examples with respect to linear fuzzifying bornologies induced by probabilistic normed spaces and fuzzifying topological linear spaces are also provided.
Databáze: OpenAIRE
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