-topological groups and its level L-topological groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2007 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 158, pages 1,504-1,510 (issn: 0165-0114,

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Authors: Hua-Peng Zhang; Jin-xuan Fang;

doi: 10.1016/j.fss.2007.02.005

-topological groups and its level L-topological groups

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Abstract

Let \(X\) be a group. The authors show that an \(I(L)\)-topology on \(X\) compatible with the group structure is essentially a \([0,1)\)-indexed chain of \(L\)-topologies on \(X\) compatible with the group structure.

Related Organizations

Nanjing Normal University
China (People's Republic of)
Nanjing Normal University
China (People's Republic of)

Keywords

Structure of general topological groups, Fuzzy topology, \(I(L)\)-topological group, \(L\)-fuzzy unit interval, \(I(L)\)-valued lower semi-continuous mapping

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