Dependence Relations and Grade Fuzzy Set

被引：4
|
作者：
Linzi, Alessandro [1 ]
Cristea, Irina [1 ]
机构：
[1] Univ Nova Gorica, Ctr Informat Technol & Appl Math, Nova Gorica 5000, Slovenia
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 02期
关键词：
dependence relation; degree of influence; grade fuzzy set; hypercompositional structure; hyperoperation; MULTIRINGS; HYPERGROUP; GEOMETRY;
D O I：
10.3390/sym15020311
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
With the aim of developing the recent theory of dependence relations, we elaborate a procedure to measure the strength of the influence of an element on another with respect to a given dependence relation on a finite set. We call this measure the degree of influence. Its definition is based on a partial hyperoperation and a directed graph which we associate with any dependence relation. We compute the degree of influence in various examples and prove some general properties. Among these properties, we find symmetries that have the potential to be applied in the realization of effective algorithms for the computations.
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收藏
页数：18
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