Abstract
In this paper we study and characterize continuous α-migrative t-norms T with respect to a continuous t-norm T 0. Depending on whether α is an idempotent element of T 0 or not, the ( α, T 0)-migrative property restricts the ordinal sum structure of T especially “locally”, i.e., at α or around it. Outside this well-defined neighbourhood of α, the t-norm T can be arbitrary, under the only condition of keeping it continuous. The investigation exploits the ordinal sum structure of continuous t-norms and our former results related to the migrative property.
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