Title :
Residual operations of left and right uninorms
Author :
Wang, Zhudeng ; Fang, Jin-xuan
Author_Institution :
Dept. of Math., Nanjing Normal Univ., Nanjing
Abstract :
Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval. In this paper, we extend the notion of uninorm to a complete lattice, introduce the concepts of left and right uninorms on a complete lattice, discuss the residual operations of left and right uninorms, and study some basic properties of the residual operations of infinitely V-distributive left (right) uninorms and pseudo-uninorms.
Keywords :
fuzzy set theory; complete lattice; left uninorm; pseudouninorm; residual operation; right uninorm; triangular norm; Expert systems; Fuzzy logic; Fuzzy systems; Lattices; Multidimensional systems; Neural networks; Terminology; Uninorm; infinitely ∨-distributive; left (right) uninorm; pseudo-uninorm; residual operation;
Conference_Titel :
Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-1818-3
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2008.4630379
