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

被引：8
作者：
Wang, Shuling [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
MATHEMATICS | 2021年 / 9卷 / 09期
基金：
中国国家自然科学基金;
关键词：
fuzzy relational inequality; Boolean semi-tensor product composition; column stacking; semi-tensor product of matrices; RELATION EQUATIONS; ALGORITHM; CONTROLLABILITY; SYSTEMS; SET;
D O I：
10.3390/math9090937
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：17
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