On an Open Problem of U. Höhle - A Characterization of Conditionally Cancellative T-Subnorms
نویسنده
چکیده
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.
منابع مشابه
Solution to an Open Problem - A Characterization of Conditionally Cancellative T-subnorms
In this work we solve an open problem of U.Höhle ([10], Problem 11). 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. Mathematics...
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