| Title: | Dependence relations and grade fuzzy set |
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| Authors: | ID Linzi, Alessandro (Author)
ID Cristea, Irina Elena (Author) |
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| Files: |  RAZ_Linzi_Alessandro_i2023.pdf (304,05 KB)
MD5: BF0CA35DA6FF172D25D2628610EA42E0
 https://www.mdpi.com/2073-8994/15/2/311
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| Keywords: | dependence relation, degree of influence, grade fuzzy set, hypercompositional structure, hyperoperation |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 1-18 |
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| Numbering: | Vol. 15, iss. 2, [article no.] 311 |
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| PID: | 20.500.12556/RUNG-7890-ac49ec29-76a5-312c-0870-7580a17ec678  |
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| COBISS.SI-ID: | 138966275 |
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| UDC: | 510.3 |
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| ISSN on article: | 2073-8994 |
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| DOI: | 10.3390/sym15020311 |
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| NUK URN: | URN:SI:UNG:REP:GSI8QWMI |
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| Publication date in RUNG: | 23.01.2023 |
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| Views: | 2546 |
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| Downloads: | 7 |
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