Similarity and Implication between Fuzzy Sets

  • Enrique H. Ruspini
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 271)


The pioneering work of Mamdani and Assilian [9] was the first practical application of a number of concepts from fuzzy-set theory [12] and fuzzy logic [15] to the solution of a family of important control problems. Inspired by ongoing developments in artificial intelligence [7], this work reported on the successful application of fuzzyset based generalizations of conventional logic, such as Zadeh’s compositional rule of inference [14], to the inferential derivation of measures of control adequacy.


Fuzzy Logic Similarity Relation Fuzzy Subset Possibility Distribution Transitivity Property 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Collaborative Intelligent Systems LaboratoryEuropean Centre for Soft ComputingMieresSpain

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