## On fuzzy compact metric spaces

Author:
Parijat Sinha
Affiliation:

Department of Mathematics V.S.S.D. College Kanpur India

Keyword:
Fuzzy set, Fuzzy compact metric space, Fuzzy finite intersection property, Lebesgue number
Issue Date:
April 2013
Abstract:

Here we prove, X is fuzzy compact if every collection of fuzzy closed subsets of X having fuzzy finite intersection property (f.i.p) has non empty intersection. We also define Lebesgue number for an open cover of a fuzzy set and Lebesgue covering lemma for a sequentially compact fuzzy metric space.

Pages:
261-264
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
PDF:
DOI:
jusps-A