Solidarity Value and Solidarity Share Functions for TU Fuzzy Games
TU games under both crisp and fuzzy environments describe situations where players make full (crisp) or partial (fuzzy) binding agreements and generate worth in return. The challenge is then to decide how to distribute the profit among them in a rational manner: we call this a solution. In this pape...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/3502949 |
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| _version_ | 1832558747976728576 |
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| author | Rajib Biswakarma Surajit Borkotokey Radko Mesiar |
| author_facet | Rajib Biswakarma Surajit Borkotokey Radko Mesiar |
| author_sort | Rajib Biswakarma |
| collection | DOAJ |
| description | TU games under both crisp and fuzzy environments describe situations where players make full (crisp) or partial (fuzzy) binding agreements and generate worth in return. The challenge is then to decide how to distribute the profit among them in a rational manner: we call this a solution. In this paper, we introduce the notion of solidarity value and the solidarity share function as a suitable solution to TU fuzzy games. Two special classes of TU fuzzy games, namely, TU fuzzy games in Choquet integral form and in multilinear extension form, are studied and the corresponding solidarity value and the solidarity share functions are characterized. |
| format | Article |
| id | doaj-art-ab4a8d29d54d47279e8ae5aa54f3efaa |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-ab4a8d29d54d47279e8ae5aa54f3efaa2025-02-03T01:31:41ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/35029493502949Solidarity Value and Solidarity Share Functions for TU Fuzzy GamesRajib Biswakarma0Surajit Borkotokey1Radko Mesiar2Department of Mathematics, Dibrugarh University, Dibrugarh, IndiaDepartment of Mathematics, Dibrugarh University, Dibrugarh, IndiaFaculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaTU games under both crisp and fuzzy environments describe situations where players make full (crisp) or partial (fuzzy) binding agreements and generate worth in return. The challenge is then to decide how to distribute the profit among them in a rational manner: we call this a solution. In this paper, we introduce the notion of solidarity value and the solidarity share function as a suitable solution to TU fuzzy games. Two special classes of TU fuzzy games, namely, TU fuzzy games in Choquet integral form and in multilinear extension form, are studied and the corresponding solidarity value and the solidarity share functions are characterized.http://dx.doi.org/10.1155/2018/3502949 |
| spellingShingle | Rajib Biswakarma Surajit Borkotokey Radko Mesiar Solidarity Value and Solidarity Share Functions for TU Fuzzy Games Advances in Fuzzy Systems |
| title | Solidarity Value and Solidarity Share Functions for TU Fuzzy Games |
| title_full | Solidarity Value and Solidarity Share Functions for TU Fuzzy Games |
| title_fullStr | Solidarity Value and Solidarity Share Functions for TU Fuzzy Games |
| title_full_unstemmed | Solidarity Value and Solidarity Share Functions for TU Fuzzy Games |
| title_short | Solidarity Value and Solidarity Share Functions for TU Fuzzy Games |
| title_sort | solidarity value and solidarity share functions for tu fuzzy games |
| url | http://dx.doi.org/10.1155/2018/3502949 |
| work_keys_str_mv | AT rajibbiswakarma solidarityvalueandsolidaritysharefunctionsfortufuzzygames AT surajitborkotokey solidarityvalueandsolidaritysharefunctionsfortufuzzygames AT radkomesiar solidarityvalueandsolidaritysharefunctionsfortufuzzygames |