DocumentCode
507550
Title
Commutative Weak t-Norm and Non-associative Residuated Lattices
Author
Zhang, Xiaohong
Author_Institution
Fac. of Sci., Ningbo Univ., Ningbo, China
Volume
2
fYear
2009
fDate
Nov. 30 2009-Dec. 1 2009
Firstpage
223
Lastpage
226
Abstract
Based on weak t-norm introducing by J.C. Fodor from fuzzy set theory and strict preference relation, a new notion of non-associative residuated lattice is introduced. The following result is proved: from a commutative weak t-norm, a non-associative residuated lattice can be constructed. Moreover, the relationship among non-associative residuated lattices, implication lattices and lattice-valued interval sets are investigated.
Keywords
fuzzy set theory; commutative weak t-norm; fuzzy set theory; implication lattice; lattice valued interval sets; non-associative residuated lattice; strict preference relation; Equations; Fuzzy logic; Fuzzy set theory; Knowledge acquisition; Lattices;
fLanguage
English
Publisher
ieee
Conference_Titel
Knowledge Acquisition and Modeling, 2009. KAM '09. Second International Symposium on
Conference_Location
Wuhan
Print_ISBN
978-0-7695-3888-4
Type
conf
DOI
10.1109/KAM.2009.89
Filename
5362088
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