COMPATIBILITY OF SYSTEMS OF FUZZY RELATION EQUATIONS |
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| Authors: | IRINA PERFILIEVA ALEXANDER TONIS |
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| Affiliation: | Moscow State Academy of Instrument-Making and Informatics , Stromynka 20, Moscow, 107846, Russia |
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| Abstract: | In this paper, a fuzzy relation equation system with the generalized conjunction and implication operations is considered. Necessary and sufficient conditions of solvability of this system are proved. The case where these conditions are not fulfilled is considered and the solvability degree of the approximate solution is estimated. The interpolation property of the solution independently on whether it is precise or approximate is established. |
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| Keywords: | System of fuzzy relation equations sup-t-composition solvability degree best approximate solution |
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