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Solution of Fuzzy Equations with Max-Product Composition in Inverse Control and Decision Making Problems

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Abstract

A system of “max-product” type of equations, to which many inverse problems of fuzzy sets and relations, is solved. The minimal solution of this type of equations is determined from the solution of covering problems, which are NP-complete problems. A compatibility criterion for a system and redundancy criteria for equations and variables are formulated in terms of coverings. Possibilities for the reduction of the dimension of a covering problem and its solution methods are examined.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    A. V. Markovskii

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  1. A. V. Markovskii
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Markovskii, A.V. Solution of Fuzzy Equations with Max-Product Composition in Inverse Control and Decision Making Problems. Automation and Remote Control 65, 1486–1495 (2004). https://doi.org/10.1023/B:AURC.0000041426.51975.50

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  • DOI: https://doi.org/10.1023/B:AURC.0000041426.51975.50

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