On the Cross-Migrativity with Respect to Continuous t-Norms
Shuai Li, Feng Qin, Janos C. Fodor · International Journal of Intelligent Systems · 2015
Depending on whether α is an idempotent element of the t-norm T0 or not, we study and characterize the structure of a continuous crossmigrative t-norm T with respect to a fixed and continuous t-norm T0, which is indeed the conjecture presented by Fodor et al. (Int J Intell Syst 2012;27:411–428) Results of this paper show that the -cross-migrativity is completely determined by the restriction on a portion of domain of T and have nothing to do with the remaining of [0, 1]2. Moreover, we also clarify the relations between our present results and the previous results.