2007, Vol. XIV, núm. 3
Summary
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Approximation of proximities by aggregating T-indistinguishability operators
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2007)
Article
Open AccessFor a continuous Archimedean t-norm T a method to approximate a proximity relation R (i.e. a reflexive and symmetric fuzzy relation) by a T-transitive one is provided. It consists of aggregating the transitive closure R ... -
On the order type L-valued relations on L-powersets
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2007)
Article
Open AccessThe research in the field of the so called Fuzzy Mathematics can be conditionally devided into two mainstreams: the first one emphasizes on the study of different fuzzy structures (topological, algebraic, analytical, etc.) ... -
Advanced inference in fuzzy systems by rule base compression
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2007)
Article
Open AccessThis paper describes a method for rule base compression of fuzzy systems. The method compresses a fuzzy system with an arbitrarily large number of rules into a smaller fuzzy system by removing the redundancy in the fuzzy ... -
Towards automatic modeling of economic texts
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2007)
Article
Open AccessIn this paper, we present an application of perception-based logical deduction in the modeling of an economic analysis given in natural language. We use fuzzy IF-THEN rules and the theory of evaluative linguistic expressions ... -
On completeness results for predicate lukasiewicz, product, gödel and nilpotent minimum logics expanded with truth-constants
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2007)
Article
Open AccessIn this paper we deal with generic expansions of first-order predicate logics of some left-continuous t-norms with a countable set of truth-constants. Besides already known results for the case of Lukasiewicz logic, we ... -
Mixed integer programming, general concept inclusions and fuzzy description logics
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2007)
Article
Open AccessFuzzy Description Logics (fuzzy DLs) have been proposed as a language to describe structured knowledge with vague concepts. In [19], a solution based on Mixed Integer Linear Programming has been proposed to deal with ...