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On the Cross‐Migrativity with Respect to Continuous t‐Norms

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 (α,T0) ‐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.