Two-level linear programming problems with two decision-makers at the upper level

An interactive fuzzy approach

M. Borza, Azmin Sham Rambely, M. Saraj

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The interactive fuzzy programming approach can be used to address two-level programming problems if a mutually cooperative relationship exists between the decision-makers. In this approach, a satisfactory solution is obtained by taking into account the minimum satisfaction level of the decision-maker at the upper level. In addition, the overall satisfaction balance between the decision-maker at the lower level and the decision-maker at the upper level must be appropriate. In this paper, interactive fuzzy programming is used to achieve a satisfactory solution for a two-level linear programming problem with two decision-makers at the upper level. The method is designed in such a way that both decision-makers at the upper level achieve their minimum satisfaction levels together with the appropriate satisfaction balance between the decision-maker at the lower level and each decision-maker at the upper level. A numerical example is given to illustrate the method. Moreover, it is indicated that a three-level program can be considered as a two-level program with two decision-makers at the upper level.

Original languageEnglish
Pages (from-to)211-222
Number of pages12
JournalModern Applied Science
Volume8
Issue number4
DOIs
Publication statusPublished - 2014

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linear programing
decision

Keywords

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

ASJC Scopus subject areas

  • General

Cite this

Two-level linear programming problems with two decision-makers at the upper level : An interactive fuzzy approach. / Borza, M.; Rambely, Azmin Sham; Saraj, M.

In: Modern Applied Science, Vol. 8, No. 4, 2014, p. 211-222.

Research output: Contribution to journalArticle

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