Compositional rule of inference as an analogical scheme

Authors:
Bernadette Bouchon-Meunier;Radko Mesiar;Christophe Marsala;Maria Rifqi
Affiliations:
LIP6, University Paris 6, 8 rue du Capitaine Scott, 75015 Paris, France;Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia, and ÚTIA AV CR Prague, Pod vodárenskou vez ...;LIP6, University Paris 6, 8 rue du Capitaine Scott, 75015 Paris, France;LIP6, University Paris 6, 8 rue du Capitaine Scott, 75015 Paris, France
Venue:
Fuzzy Sets and Systems
Year:
2003

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Abstract

We discuss fuzzy deductive reasoning achieved through the compositional rule of inference from the analogy point of view, merging it into the analogical scheme. Necessary and sufficient conditions on operators involved are investigated to fit the compositional rule of inference into the analogical scheme. Several examples including well known models are included.