Fuzzy programming approach to Bi-level linear programming problems

In this study, we discussed a fuzzy programming approach to bi-level linear programming problems and their application. Bi-level linear programming is characterized as mathematical programming to solve decentralized problems with two decision-makers in the hierarchal organization. They become more i...

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Autores principales:	Eshetu Gurmu, Tagay Fikadu
Formato:	article
Lenguaje:	EN
Publicado:	Ayandegan Institute of Higher Education, 2020
Materias:	fuzzy set fuzzy function fuzzy linear programming bi level programming Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/999ecec84d9446fe9cf55abea63f21f7
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id	oai:doaj.org-article:999ecec84d9446fe9cf55abea63f21f7
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spelling	oai:doaj.org-article:999ecec84d9446fe9cf55abea63f21f72021-11-13T08:42:02ZFuzzy programming approach to Bi-level linear programming problems2783-14422717-345310.22105/jfea.2020.262326.1069https://doaj.org/article/999ecec84d9446fe9cf55abea63f21f72020-12-01T00:00:00Zhttp://www.journal-fea.com/article_120921_3b44fe534669e11061969bda8a4952e3.pdfhttps://doaj.org/toc/2783-1442https://doaj.org/toc/2717-3453In this study, we discussed a fuzzy programming approach to bi-level linear programming problems and their application. Bi-level linear programming is characterized as mathematical programming to solve decentralized problems with two decision-makers in the hierarchal organization. They become more important for the contemporary decentralized organization where each unit seeks to optimize its own objective. In addition to this, we have considered Bi-Level Linear Programming (BLPP) and applied the Fuzzy Mathematical Programming (FMP) approach to get the solution of the system. We have suggested the FMP method for the minimization of the objectives in terms of the linear membership functions. FMP is a supervised search procedure (supervised by the upper Decision Maker (DM)). The upper-level decision-maker provides the preferred values of decision variables under his control (to enable the lower level DM to search for his optimum in a wider feasible space) and the bounds of his objective function (to direct the lower level DM to search for his solutions in the right direction).Eshetu GurmuTagay FikaduAyandegan Institute of Higher Education,articlefuzzy setfuzzy functionfuzzy linear programmingbi level programmingMathematicsQA1-939ENJournal of Fuzzy Extension and Applications, Vol 1, Iss 4, Pp 252-271 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	fuzzy set fuzzy function fuzzy linear programming bi level programming Mathematics QA1-939
spellingShingle	fuzzy set fuzzy function fuzzy linear programming bi level programming Mathematics QA1-939 Eshetu Gurmu Tagay Fikadu Fuzzy programming approach to Bi-level linear programming problems
description	In this study, we discussed a fuzzy programming approach to bi-level linear programming problems and their application. Bi-level linear programming is characterized as mathematical programming to solve decentralized problems with two decision-makers in the hierarchal organization. They become more important for the contemporary decentralized organization where each unit seeks to optimize its own objective. In addition to this, we have considered Bi-Level Linear Programming (BLPP) and applied the Fuzzy Mathematical Programming (FMP) approach to get the solution of the system. We have suggested the FMP method for the minimization of the objectives in terms of the linear membership functions. FMP is a supervised search procedure (supervised by the upper Decision Maker (DM)). The upper-level decision-maker provides the preferred values of decision variables under his control (to enable the lower level DM to search for his optimum in a wider feasible space) and the bounds of his objective function (to direct the lower level DM to search for his solutions in the right direction).
format	article
author	Eshetu Gurmu Tagay Fikadu
author_facet	Eshetu Gurmu Tagay Fikadu
author_sort	Eshetu Gurmu
title	Fuzzy programming approach to Bi-level linear programming problems
title_short	Fuzzy programming approach to Bi-level linear programming problems
title_full	Fuzzy programming approach to Bi-level linear programming problems
title_fullStr	Fuzzy programming approach to Bi-level linear programming problems
title_full_unstemmed	Fuzzy programming approach to Bi-level linear programming problems
title_sort	fuzzy programming approach to bi-level linear programming problems
publisher	Ayandegan Institute of Higher Education,
publishDate	2020
url	https://doaj.org/article/999ecec84d9446fe9cf55abea63f21f7
work_keys_str_mv	AT eshetugurmu fuzzyprogrammingapproachtobilevellinearprogrammingproblems AT tagayfikadu fuzzyprogrammingapproachtobilevellinearprogrammingproblems
_version_	1718430270801051648

Fuzzy programming approach to Bi-level linear programming problems

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