Title :
On the cross-migrativity of triangular subnorms
Author :
Hong-Dan Wang ; Feng Qin
Author_Institution :
Coll. of Math. & Inf. Sci., Jiangxi Normal Univ., Nanchang, China
Abstract :
In this paper, the sufficient and necessary conditions that a triangular subnorm M is (α, T)-cross-migrative are given out, where T stands for any of the three prototype triangular norms, that is, is ε {TP, TM, TL}, M is a triangular subnorm with a continuously additive generator. By comparison with results of the (a, T)-cross-migrativity of triangular norms obtained by Fodor, it is in some sense that they are compatible.
Keywords :
set theory; continuously additive generator; necessary condition; subnorm cross-migrativity; sufficient condition; triangular subnorm; Additives; Educational institutions; Equations; Fuzzy sets; Generators; Mathematical model; Prototypes;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891538