In this paper we consider general t-norm in the definition of fuzzy normed linear space which is introduced by the authors in an earlier paper. It is proved that if t-norm is chosen other than ”min” then decomposition theorem of a fuzzy norm into a family of crisp norms may not hold. We study some basic results on finite dimensional fuzzy normed linear spaces in general t-norm setting. 2010 AMS...

Uninorms are a generalization of t-norms and t-conorms for which the neutral element is an element of [0, 1] which is not necessarily equal to 0 (as for t-norms) or 1 (as for t-conorms). Uninorms on the unit interval are either conjunctive or disjunctive, i.e. they aggregate the pair (0, 1) to either 0 or 1. In real-life applications, this kind of aggregation may be counter-intuitive. Interval-...

A fuzzification of the concept of functional dependency based on t-norms is presented. T-norms are equally used in the definition of the similarity relations in the domains and in the fuzziness degree assigned to functional dependencies. A sound and complete logic for this fuzzy functional dependencies is also introduced and, finally, its applicability to redundancy removing is shown.

Archimedean t-conorm and t-norm are generalizations of a lot of other t-conorms and t-norms, such as Algebraic, Einstein, Hamacher and Frank t-conorms and t-norms or others, and some of them have been applied to intuitionistic fuzzy set, which contains three functions: the membership function, the nonmembership function and the hesitancy function describing uncertainty and fuzziness more object...

Fuzzy logics based on residuated t-norms provide a robust mathematical formalism for logical deduction under uncertain or vague premises. In this paper, we describe a decision algorithm for the tautology problem of Basic Logic, which is the logic of continuous t-norms and their residua [Háj98, CEGT00]. Our algorithm is a refinement of the semantic method of Baaz, Hájek, Montagna, and Veith [BHM...

all practical digital circuits are usually a mixture of combinational and sequential logic. flip–flops are essential to sequential logic therefore fuzzy flip–flops are considered to be among the most essential topics of fuzzy digital circuit. the concept of fuzzy digital circuit is among the most interesting applications of fuzzy sets and logic due to the fact that if there has to be an ultimat...