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 par...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/2/311 |
| _version_ | 1797618044860628992 |
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| author | Alessandro Linzi Irina Cristea |
| author_facet | Alessandro Linzi Irina Cristea |
| author_sort | Alessandro Linzi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T08:04:37Z |
| format | Article |
| id | doaj.art-2c382a1acd5645628e43883041a78207 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:04:37Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2c382a1acd5645628e43883041a782072023-11-16T23:31:38ZengMDPI AGSymmetry2073-89942023-01-0115231110.3390/sym15020311Dependence Relations and Grade Fuzzy SetAlessandro Linzi0Irina Cristea1Center for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, SloveniaCenter for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, SloveniaWith 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.https://www.mdpi.com/2073-8994/15/2/311dependence relationdegree of influencegrade fuzzy sethypercompositional structurehyperoperation |
| spellingShingle | Alessandro Linzi Irina Cristea Dependence Relations and Grade Fuzzy Set Symmetry dependence relation degree of influence grade fuzzy set hypercompositional structure hyperoperation |
| title | Dependence Relations and Grade Fuzzy Set |
| title_full | Dependence Relations and Grade Fuzzy Set |
| title_fullStr | Dependence Relations and Grade Fuzzy Set |
| title_full_unstemmed | Dependence Relations and Grade Fuzzy Set |
| title_short | Dependence Relations and Grade Fuzzy Set |
| title_sort | dependence relations and grade fuzzy set |
| topic | dependence relation degree of influence grade fuzzy set hypercompositional structure hyperoperation |
| url | https://www.mdpi.com/2073-8994/15/2/311 |
| work_keys_str_mv | AT alessandrolinzi dependencerelationsandgradefuzzyset AT irinacristea dependencerelationsandgradefuzzyset |