Dependence relations and grade fuzzy set
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.
2023
2023-01-23 11:40:15
1033
dependence relation, degree of influence, grade fuzzy set, hypercompositional structure, hyperoperation
Alessandro
Linzi
70
Irina Elena
Cristea
70
COBISS_ID
3
138966275
UDK
4
510.3
ISSN pri Ä¨lanku
9
2073-8994
DOI
15
10.3390/sym15020311
NUK URN
18
URN:SI:UNG:REP:GSI8QWMI
RAZ_Linzi_Alessandro_i2023.pdf
311349
Predstavitvena datoteka
2023-01-23 12:13:51
0
Izvorni URL
2023-12-18 09:28:05