Distribution Concepts Under Duplicated Structure
In the context of standard states, contributors are typically either fully engaged or not engaged at all under interactions with other contributors. However, in real-world situations, contributors may exhibit varying degrees of involvement and operational capacities. Additionally, related influence...
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MDPI AG
2024-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/22/3609 |
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| _version_ | 1846153093239013376 |
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| author | Yu-Hsien Liao |
| author_facet | Yu-Hsien Liao |
| author_sort | Yu-Hsien Liao |
| collection | DOAJ |
| description | In the context of standard states, contributors are typically either fully engaged or not engaged at all under interactions with other contributors. However, in real-world situations, contributors may exhibit varying degrees of involvement and operational capacities. Additionally, related influence may differ across various situations. Therefore, this paper introduces distribution concepts utilizing duplicated structures and weights to address these complexities. To examine the mathematical precision and practical applicability of these distribution concepts, we introduce a specific reduction and its analogues, which provide axiomatic characterizations and dynamic processes. |
| format | Article |
| id | doaj-art-b1a1f15229804510bba01489baf57178 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-b1a1f15229804510bba01489baf571782024-11-26T18:12:01ZengMDPI AGMathematics2227-73902024-11-011222360910.3390/math12223609Distribution Concepts Under Duplicated StructureYu-Hsien Liao0Department of Applied Mathematics, National Pingtung University, Pingtung 912301, TaiwanIn the context of standard states, contributors are typically either fully engaged or not engaged at all under interactions with other contributors. However, in real-world situations, contributors may exhibit varying degrees of involvement and operational capacities. Additionally, related influence may differ across various situations. Therefore, this paper introduces distribution concepts utilizing duplicated structures and weights to address these complexities. To examine the mathematical precision and practical applicability of these distribution concepts, we introduce a specific reduction and its analogues, which provide axiomatic characterizations and dynamic processes.https://www.mdpi.com/2227-7390/12/22/3609distribution conceptduplicated structureweightaxiomatic characterizationdynamic process |
| spellingShingle | Yu-Hsien Liao Distribution Concepts Under Duplicated Structure Mathematics distribution concept duplicated structure weight axiomatic characterization dynamic process |
| title | Distribution Concepts Under Duplicated Structure |
| title_full | Distribution Concepts Under Duplicated Structure |
| title_fullStr | Distribution Concepts Under Duplicated Structure |
| title_full_unstemmed | Distribution Concepts Under Duplicated Structure |
| title_short | Distribution Concepts Under Duplicated Structure |
| title_sort | distribution concepts under duplicated structure |
| topic | distribution concept duplicated structure weight axiomatic characterization dynamic process |
| url | https://www.mdpi.com/2227-7390/12/22/3609 |
| work_keys_str_mv | AT yuhsienliao distributionconceptsunderduplicatedstructure |