On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games
This study attempts to introduce continuous static games with fuzzy parameters. Piecewise quadratic fuzzy numbers (PQFNs) are used to represent the fuzzy parameters. The close interval approximation of the PQFNs, which is one of the most accurate approximations, is applied. To overcome the problem,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4329957 |
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| _version_ | 1832562207015043072 |
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| author | Hamiden Abd El Wahed Khalifa Dragan Pamucar Alhanouf Alburaikan W. A. Afifi |
| author_facet | Hamiden Abd El Wahed Khalifa Dragan Pamucar Alhanouf Alburaikan W. A. Afifi |
| author_sort | Hamiden Abd El Wahed Khalifa |
| collection | DOAJ |
| description | This study attempts to introduce continuous static games with fuzzy parameters. Piecewise quadratic fuzzy numbers (PQFNs) are used to represent the fuzzy parameters. The close interval approximation of the PQFNs, which is one of the most accurate approximations, is applied. To overcome the problem, Stackelberg leaders with min-max follower’s solutions are examined. The given solution is accompanied by a parametric analysis. An algorithm for identifying the first-kind stability set is presented. Finally, to demonstrate and clarify the method’s steps, a numerical example is given |
| format | Article |
| id | doaj-art-9a4e1278a1d342aba6be3e055a8a5b9f |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9a4e1278a1d342aba6be3e055a8a5b9f2025-02-03T01:23:14ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4329957On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static GamesHamiden Abd El Wahed Khalifa0Dragan Pamucar1Alhanouf Alburaikan2W. A. Afifi3Department of Operations ResearchDepartment of LogisticsDepartment of MathematicsMathematics and Statistics DepartmentThis study attempts to introduce continuous static games with fuzzy parameters. Piecewise quadratic fuzzy numbers (PQFNs) are used to represent the fuzzy parameters. The close interval approximation of the PQFNs, which is one of the most accurate approximations, is applied. To overcome the problem, Stackelberg leaders with min-max follower’s solutions are examined. The given solution is accompanied by a parametric analysis. An algorithm for identifying the first-kind stability set is presented. Finally, to demonstrate and clarify the method’s steps, a numerical example is givenhttp://dx.doi.org/10.1155/2022/4329957 |
| spellingShingle | Hamiden Abd El Wahed Khalifa Dragan Pamucar Alhanouf Alburaikan W. A. Afifi On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games Journal of Function Spaces |
| title | On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games |
| title_full | On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games |
| title_fullStr | On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games |
| title_full_unstemmed | On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games |
| title_short | On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games |
| title_sort | on stackelberg leader with min max followers to solve fuzzy continuous static games |
| url | http://dx.doi.org/10.1155/2022/4329957 |
| work_keys_str_mv | AT hamidenabdelwahedkhalifa onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames AT draganpamucar onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames AT alhanoufalburaikan onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames AT waafifi onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames |