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 interval-valued 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 well-known 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: Clanek obravnava metode razmišljanje v mehki logiki, temeljece na podobnosti.