A Fuzzy Relational System with Linguistic Antecedent Certainty Factors

Abstract

In this paper, we describe a new relational fuzzy system with linguistic antecedent certainty factors. This is achieved thanks to fuzzy sets placed in a relation matrix linking antecedent and consequent fuzzy sets. Expert uncertainty about antecedent fuzzy linguistic values, now can be expressed in the form of linguistic values, e.g. roughly, more or less. Some numerical simulations of the new fuzzy model are also given.