On the migrativity of triangular subnorms

Authors:
Limin Wu;Yao Ouyang
Affiliations:
Faculty of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China;Faculty of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China
Venue:
Fuzzy Sets and Systems
Year:
2013

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Abstract

The (@a,T)-migrative triangular subnorms, where T stands for the three prototype triangular norms (namely the product, the Lukasiewicz t-norm and the minimum), are investigated in detail. The paper gives necessary and sufficient conditions under which a triangular subnorm with a continuous additive generator is (@a,T)-migrative with respect to any of the three prototype triangular norms.