Paper Info
Title
Weak Fuzzy Equivalence and Equality Relations
Abstract
Weak fuzzy (lattice valued) equivalences and equalities are introduced by weakening the reflexivity property. Every weak fuzzy equivalence relation on a set determines a fuzzy set on the same domain. In addition, its cut relations are crisp equivalences on the corresponding cut subsets. Analogue properties of weak fuzzy equalities are presented. As an application, fuzzy weak congruence relations and fuzzy identities on algebraic structures are investigated.
Year
DOI
Venue
2009
10.1007/978-3-642-11164-8_22
PReMI
Keywords
Field
DocType
and phrases: lattice-valued fuzzy set,lattice-valued fuzzy relation,block,cut,fuzzy equivalence,fuzzy equality,fuzzy identity.
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy measure theory,Fuzzy set,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Conference
Volume
ISSN
Citations 
5909
0302-9743
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
Branimir Šešelja117023.33
Andreja Tepavcevic214322.67