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Title:Dependence relations and grade fuzzy set
Authors:ID Linzi, Alessandro (Author)
ID Cristea, Irina Elena (Author)
Files:.pdf RAZ_Linzi_Alessandro_i2023.pdf (304,05 KB)
MD5: BF0CA35DA6FF172D25D2628610EA42E0
 
URL https://www.mdpi.com/2073-8994/15/2/311
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2023
Year of publishing:2023
Number of pages:str. 1-18
Numbering:Vol. 15, iss. 2, [article no.] 311
PID:20.500.12556/RUNG-7890-ac49ec29-76a5-312c-0870-7580a17ec678 New window
COBISS.SI-ID:138966275 New window
UDC:510.3
ISSN on article:2073-8994
DOI:10.3390/sym15020311 New window
NUK URN:URN:SI:UNG:REP:GSI8QWMI
Publication date in RUNG:23.01.2023
Views:2540
Downloads:7
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Record is a part of a journal

Title:Symmetry
Shortened title:Symmetry
Publisher:Molecular Diversity Preservation International
ISSN:2073-8994
COBISS.SI-ID:517592345 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0285
Name:Algebra, diskretna matematika, verjetnostni račun in teorija iger

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:23.01.2023

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