 Interactive fuzzy goal programming approach for bilevel programming problemS.R. Arora and Ritu Gupta European Journal of Operational Research, 2009, vol. 194, issue 2, 368-376 Abstract: This paper presents an interactive fuzzy goal programming (FGP) approach for bilevel programming problems with the characteristics of dynamic programming (DP). In the proposed approach, the tolerance membership functions in fuzzy sets for measuring the degree of satisfactions of the objectives of both the decision makers and degree of achievement of the decision vector controlled by the leader is defined first. Then the dynamic fuzzy goal programming model for achievement of highest degree (unity) to the extent possible to each of the defined membership functions for the fuzzy goal is developed to solve the decisions of the interrelated stages. A satisfactory solution is derived efficiently by updating the satisfactory degrees of the decision makers with the consideration of overall satisfactory balance between both the levels. Illustrative numerical examples are provided to demonstrate the feasibility of the proposed method. Keywords: Bilevel; programming; Fuzzy; goal; programming; Dynamic; programming; Membership; function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:194:y:2009:i:2:p:368-376 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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