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: Hamiden Abd El Wahed Khalifa, Dragan Pamucar, Alhanouf Alburaikan, W. A. Afifi
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/4329957
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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
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AT draganpamucar onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames
AT alhanoufalburaikan onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames
AT waafifi onstackelbergleaderwithminmaxfollowerstosolvefuzzycontinuousstaticgames