Generalized locally bounded L-topological vector spaces

Autor:	Jin-xuan Fang, Hua-Peng Zhang
Rok vydání:	2011
Předmět:	Discrete mathematics Bounded set Artificial Intelligence Logic Dual space Locally convex topological vector space Bounded function Local boundedness Topology Topological vector space Bounded operator Mathematics Normed vector space
Zdroj:	Fuzzy Sets and Systems. 162:53-63
ISSN:	0165-0114
DOI:	10.1016/j.fss.2010.09.004
Popis:	In this paper, the notion of generalized locally bounded L-topological vector spaces is proposed. The relationship between this kind of space and locally bounded L-topological vector space as defined by Yan and Fang [Locally bounded L-topological vector spaces, Inf. Sci. 159 (2004) 273-281] is investigated. In addition, the concept of a family of generalized L-fuzzy quasi-norms is introduced. Based on this notion, generalized locally bounded L-topological vector spaces are characterized. Finally, the Hausdorff separation property, convergence of molecule nets and boundedness of L-fuzzy sets in generalized locally bounded L-topological vector spaces are studied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::40f2fa61c47fbb70c16e44c3b23b4c5b https://doi.org/10.1016/j.fss.2010.09.004 Zobrazit plný text záznamu Full Text from ScienceDirect