On Similarity-based Approximate Reasoning in Interval-valued Fuzzy Environments

This paper proposes a novel approach to similarity-based approximate reasoning in an interval-valued fuzzy environment. In a rule-based system, an ‘if ... then ...’ rule can be translated into an intervalvalued fuzzy relation by suitable implication operations. The similarity grade between a case and the antecedent of a rule is computed and used to modify the relation. A consequent is derived from the wellknown projection operation over the modified relation. The inference mechanism is appropriate because the techniques of the conventional Compositional Rule of Inference are incorporated into the existing similarity-based inference. Two examples of shipbuilding processing are utilized to illustrate and validate the effectiveness of the proposed schema. Povzetek: Članek obravnava metode razmišljanje v mehki logiki, temelječe na podobnosti.