Properties of fuzzy relations powers

被引:0
作者
Drewniak, Jozef [1 ]
Pekala, Barbara [1 ]
机构
[1] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
关键词
fuzzy relation; binary operation; relation composition; sup-* composition; relation powers; relation closure; relation interior; DISTRIBUTIVE LATTICES; MATRIX; CONVERGENCE; SETS;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Properties of sup-* compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider sup-* powers of fuzzy relations under diverse assumptions about * operation. At first, we remind fundamental properties of sup-* composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations are examined. Finally, particular properties of fuzzy relations on a finite set are presented.
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页码:133 / 142
页数:10
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