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Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition

Author

Listed:
  • Shuling Wang

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

  • Haitao Li

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

Abstract

Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with Boolean semi-tensor product composition. First, by resorting to the column stacking technique, the equivalent form of FRIs with Boolean semi-tensor product composition is obtained, which is a system of FRIs (SFRIs) with max–min composition. Second, based on the semi-tensor product method, all the solutions to FRIs with Boolean semi-tensor product composition are obtained by finding all possible parameter set solutions. Finally, a general procedure is developed for the resolution of FRIs with Boolean semi-tensor product composition. Two illustrative examples are worked out to show the effectiveness of the obtained new results.

Suggested Citation

  • Shuling Wang & Haitao Li, 2021. "Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition," Mathematics, MDPI, vol. 9(9), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:937-:d:541810
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    Cited by:

    1. Qilong Sun & Haitao Li, 2022. "Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation," Mathematics, MDPI, vol. 10(21), pages 1-12, October.

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