Coherence index of radial conjunctive fuzzy systems

Abstract

The paper introduces the so-called coherence index of a conjunctive radial fuzzy system. The index can be treated as a measure of consistency of knowledge stored in the rule base of the system. Conjunctive fuzzy systems are the systems which employ fuzzy conjunctions for combination of antecedents (IF parts) with consequents (THEN parts) in theirs IF-THEN rules. Radial fuzzy systems are the systems which employ radial functions for representation of membership functions of incorporated fuzzy sets; and exhibiting the radial shape preservation property. Due to this property an effective mathematical analysis of these systems can be carried out. © Springer-Verlag Berlin Heidelberg 2007.