L-fuzzy Generalized Compact Sets

Author

Chen, Bin

Author_Institution

Sch. of Sci., Univ. of Jinan, Jinan, China

Volume

6

fYear

2009

fDate

14-16 Aug. 2009

Firstpage

316

Lastpage

320

Abstract

In this paper, a kind of new fg-compactness is introduced in L-fuzzy topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This new fg-compactness is defined for arbitrary L-subsets. The intersection of a fg-compact L-fuzzy subset and a gf-closed L-fuzzy subset is fg-compact. This new fg-compactness is a good extension. Besides, different characterizations are obtainIn this paper, a kind of new fg-compactness is introduced in L-fuzzy topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This new fg-compactness is defined for arbitrary L-subsets. The intersection of a fg-compact L-fuzzy subset and a gf-closed L-fuzzy subset is fg-compact. This new fg-compactness is a good extension. Besides, different characterizations are obtained, and some of its properties studied.ed, and some of its properties studied.

Keywords

fuzzy set theory; lattice theory; L-fuzzy generalized compact sets; L-fuzzy topological spaces; arbitrary L-subsets; fg-compactness; fuzzy lattice; gf-closed L-fuzzy subset; Fuzzy sets; Fuzzy systems; Lattices; Topology; L-fuzzy topology; fg-compactness; fuzzy lattice; generalized fuzzy open sets; good extension;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on

Conference_Location

Tianjin

Print_ISBN

978-0-7695-3735-1

Type

conf

DOI

10.1109/FSKD.2009.309

Filename

5359858