A fuzzy approach with required minimum decision tolerances for multi-level multi-objective decision-making problems

Liang Hsuan Chen, Hsin Hung Chen

Research output: Contribution to journalArticle

3 Citations (Scopus)


This paper investigates multi-level multi-objective linear programming problems in fuzzy environments, where each decision level has one decision-maker (DM) with a vector of decision variables and possibly more than one objective function. The objective functions of each DM and the decision variables of higher-level DMs are characterized by membership functions, which are considered as fuzzy goals. In related studies, the tolerances used to define membership functions of higher-level DMs' decision variables are usually subjectively determined. This may lead to infeasible solutions. This paper focuses on the determination of required minimum tolerances for higher-level DMs' decision variables to ensure feasibility in the solution process. A fuzzy goal programming model is established to optimally satisfy all defined fuzzy goals by minimizing satisfaction deviations under the constraint of the leader-follower relationship. A numerical example is provided for demonstrating the proposed approaches. It is shown that existing approaches may not have feasible solutions if the required minimum tolerances are not adopted.

Original languageEnglish
Pages (from-to)217-224
Number of pages8
JournalJournal of Intelligent and Fuzzy Systems
Issue number1
Publication statusPublished - 2015 Jan 1


All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Engineering(all)
  • Artificial Intelligence

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