Title of article
CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES
Author/Authors
ZHONG, Y , SHI, F.G
Pages
21
From page
129
To page
149
Abstract
In this paper, characterizations of the degree to which a mapping
T : LX ! M is an (L;M)-fuzzy topology are studied in detail. What is
more, the degree to which an L-subset is an L-open set with respect to T is
introduced. Based on that, the degrees to which a mapping f : X ! Y is
continuous, open, closed or a quotient mapping with respect to TX and TY are
dened, and their characterizations are given, respectively. Besides, the relationships
among the continuity degrees, the openness degrees, the closedness
degrees and the quotient degrees of mappings are discussed
Keywords
(L,M)-fuzzy topology degree , L-open set degree , Continuity degree , Openness degree , Closedness degree , Quotient degree
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2450468
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