Title :
On Interval Fuzzy Residuated Implications and Interval Quasi-implications
Author_Institution :
Dept. of Math., Ningbo Univ., Ningbo, China
Abstract :
A mistake on interval fuzzy residuated implications is pointed out by a counterexample, and a modified theorem is proved. The relationship between interval set t-norm and interval t-norm is investigated. Moreover, the notions of quasi-residuated lattice and interval quasi-implication are introduced, and some basic properties are examined.
Keywords :
fuzzy set theory; interval fuzzy residuated implications; interval quasi implications; interval set t-norm; interval t-norm; interval valued fuzzy set; quasi residuated lattice notions; Algebra; Equations; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Lattices; Mathematics; Rough sets; Uncertainty; interval quasi-implication; interval set; interval-valued fuzzy set; residuated implication; t-norm;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.790
