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MINIMAL AND MAXIMAL SOLUTIONS OF A DECOMPOSITION PROBLEM OF FUZZY RELATIONS
Authors:ANTONIO DI NOLA  SALVATORE SESSA  WITOLD PEDRYCZ  MASAHIKO HIGASHI
Affiliation:1. Istituto Matematico, Facoltà di Architettura, Università di Napoli , Napoli, Italy;2. Department of Automatic Control and Computer Science , Silesian Technical University , Gliwice, Poland;3. Institute of Ecology, University of Georgia , Athens, Georgia, U.S.A
Abstract:In this work we continue the study already begun in our foregoing paper, dealing with the decomposition problem or a binary fuzzy relation defined in the Cartesian product of a finite space. We characterize the whole set of the solutions of the max-min fuzzy relation equation which formulates the decomposition problem.
Keywords:Fuzzy relation  decomposition of relation  fuzzy relation equation.
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