Binary fuzzy goal programming

Ching Ter Chang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

47 Scopus citations

Abstract

Goal programming is an important technique for solving many decision/management problems. Fuzzy goal programming involves applying the fuzzy set theory to goal programming, thus allowing the model to take into account the vague aspirations of a decision-maker. Using preference-based membership functions, we can define the fuzzy problem through natural language terms or vague phenomena. In fact, decision-making involves the achievement of fuzzy goals, some of them are met and some not because these goals are subject to the function of environment/resource constraints. Thus, binary fuzzy goal programming is employed where the problem cannot be solved by conventional goal programming approaches. This paper proposes a new idea of how to program the binary fuzzy goal programming model. The binary fuzzy goal programming model can then be solved using the integer programming method. Finally, an illustrative example is included to demonstrate the correctness and usefulness of the proposed model.

Original languageEnglish
Pages (from-to)29-37
Number of pages9
JournalEuropean Journal of Operational Research
Volume180
Issue number1
DOIs
StatePublished - 01 07 2007
Externally publishedYes

Keywords

  • Binary programming
  • Fuzzy programming
  • Goal programming

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