Fuzzifying bornological linear spaces

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 s...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 42; no. 3; pp. 2347 - 2358
Main Authors Jin, Zhen-Yu, Yan, Cong-Hua
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2022
Sage Publications Ltd
Subjects
Vector spaces
quotient linear fuzzifying bornologies
separation
fuzzifying bornological convergence
Fuzzifying bornological linear spaces
Product linear fuzzifying bornologies
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-211644