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

Liang Hsuan Chen, Hsin Hung Chen

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)217-224
頁數8
期刊Journal of Intelligent and Fuzzy Systems
28
發行號1
DOIs
出版狀態Published - 2015 一月 1

All Science Journal Classification (ASJC) codes

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

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