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1.
Dependence relations and grade fuzzy set
Alessandro Linzi, Irina Elena Cristea, 2023, original scientific article

Abstract: 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.
Keywords: dependence relation, degree of influence, grade fuzzy set, hypercompositional structure, hyperoperation
Published in RUNG: 23.01.2023; Views: 2473; Downloads: 7
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2.
Symmetry in the Theory of Dependence Relations
Irina Elena Cristea, 2021, published scientific conference contribution abstract

Keywords: dependence relation, degree of influence, degree of impact, fuzzy set, hypercompositional algebra
Published in RUNG: 10.08.2021; Views: 2642; Downloads: 52
.pdf Full text (216,43 KB)

3.
Some open problems in hypercompositional algebra
Irina Elena Cristea, 2020, published scientific conference contribution abstract (invited lecture)

Keywords: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility
Published in RUNG: 23.06.2020; Views: 3875; Downloads: 0
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