|Title:||Weak fuzzy equivalence and equality relations||Journal:||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)||Volume:||5909 LNCS||First page:||134||Last page:||139||Conference:||3rd International Conference on Pattern Recognition and Machine Intelligence, PReMI 2009; New Delhi; India; 16 December 2009 through 20 December 2009||Issue Date:||1-Dec-2009||Rank:||M33||ISBN:||978-3-642-11164-8||ISSN:||0302-9743||DOI:||10.1007/978-3-642-11164-8_22||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.
|Keywords:||Block | Cut | Fuzzy equality | Fuzzy equivalence | Fuzzy identity | Lattice-valued fuzzy relation | Lattice-valued fuzzy set||Publisher:||Springer Link|
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