Many-Valued Similarity Reasoning. An Axiomatic Approach

Authors: KUKKURAINEN P.¹; TURUNEN E.¹

Source: Multiple Valued Logic: An International Journal, Volume 8, Numbers 5-6, 1 January 2002 , pp. 751-760(10)

Publisher: Taylor and Francis Ltd

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Abstract:

The aim of this study is to give an axiomatic bases to an algorithm to construct fuzzy IF-THEN inference systems. These axioms are the six axioms of an injective MV-algebra [10]. The algorithm utilizes many-valued equivalence. The algorithm has a special feature that the intelligence of the inference relies only on many-valued equivalence and on the knowledge of a human expert. Thus, technical defuzzification methods are not needed. A real unit interval based prototype of the algorithm was introduced in [3].

Keywords: Many-valued logic; Fuzzy control

Document Type: Research article

Affiliations: 1: Lappeenranta University of Technology, P.O. Box 20, FIN-53851, Finland

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