DocumentCode :
2545755
Title :
(∈, ∈ ∨qk)-fuzzy congruence in residuated lattices
Author :
Liu, Yi ; Qin, Ya
Author_Institution :
Coll. of Math. & Inf. Sci., Neijiang Normal Univ., Neijiang, China
fYear :
2012
fDate :
29-31 May 2012
Firstpage :
1
Lastpage :
4
Abstract :
The aim of this paper is to develop the fuzzy congruence theory of general residuated lattices. We introduce the concept of (∈, ∈ Vqk)-fuzzy congruence relation on a residuated lattice, and the relation between (∈, ∈ Vqk)-fuzzy congruences and (∈, ∈ Vqk)-fuzzy filters is investigated. Finally, we construct a new residuated lattice which induced (∈, ∈ Vqk)-fuzzy congruences, the homomorphism theorem is given.
Keywords :
fuzzy set theory; lattice theory; (ε, ε Vqk)-fuzzy congruence relation; (ε, ε Vqk)-fuzzy filters; fuzzy congruence theory; homomorphism theorem; residuated lattices; Educational institutions; Fuzzy sets; Fuzzy systems; Information processing; Lattices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
Type :
conf
DOI :
10.1109/FSKD.2012.6233977
Filename :
6233977
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2545755
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