This paper focuses on the issue of how generalizations of continuous and leftcontinuous t-norms over linearly ordered sets should be from a logical point of view. Taking into acco...
A number of generalizations of answer set programming have been proposed in the literature to deal with vagueness, uncertainty, and partial rule satisfaction. We introduce a unifyi...
Jeroen Janssen, Steven Schockaert, Dirk Vermeir, M...
We define the Lukasiewicz transform as a residuated map and a homomorphism between semimodules over the semiring reducts of an MV-algebra. Then we describe the “Lukasiewicz Tra...
Abstract—The paper studies graded properties of MTL valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopul...
Libor Behounek, Petr Cintula, Ulrich Bodenhofer, S...
One of the important components of granular computing is interval computations. In interval computations, at each intermediate stage of the computation, we have intervals of possi...
Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk...