An interactive fuzzy programming approach for the two-level linear programming problem with many leaders

Research output: Contribution to journalArticle

Abstract

In this paper, the two-level linear programming problem with at least two leaders and one follower is considered. To find a satisfactory solution for the problem, an interactive fuzzy programming approach is introduced. The method is aimed so that all the decision makers at the upper level achieve their minimum satisfaction levels together with the suitable satisfaction balance between the decision maker at the lower level and each decision maker at the upper level. So as to exemplify the method, a numerical example is given. Additionally, it is shown that a k-level programming problem can also be changed into a two-level programming problem with k-1 decision makers at the upper level.

Original languageEnglish
Pages (from-to)3585-3600
Number of pages16
JournalGlobal Journal of Pure and Applied Mathematics
Volume12
Issue number4
Publication statusPublished - 2016

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Fuzzy Programming
Linear programming
Programming
Numerical Examples

Keywords

  • Interactive fuzzy programming
  • Membership function
  • Multi-level programming
  • Optimization
  • Satisfactory solution

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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