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

Shuling Wang and Haitao Li
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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

Mathematics, 2021, vol. 9, issue 9, 1-17

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.

Keywords: fuzzy relational inequality; Boolean semi-tensor product composition; column stacking; semi-tensor product of matrices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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