On an open problem of U. Hohle - A characterization of conditionally cancellative T-subnorms

Jayaram, Balasubramaniam (2010) On an open problem of U. Hohle - A characterization of conditionally cancellative T-subnorms. In: 13th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 28 Jun - 02 July, 2010, Dortmund; Germany.

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Abstract

In this work we solve an open problem of U.Höhle [Problem 11, Fuzzy Sets and Systems 145 (2004) 471-479]. We show that the solution gives a characterization of all conditionally cancellative t-subnorms. Further, we give an equivalence condition for a conditionally cancellativite t-subnorm to be a t-norm and hence show that conditionally cancellativite t-subnorms whose natural negations are strong are, in fact, t-norms.

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