A fuzzy goal programming method with imprecise goal hierarchy

Onur Aköz, Dobrila Petrovic

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    66 Citations (Scopus)


    Two most widely used approaches to treating goals of different importance in goal programming (GP) are: (1) weighted GP, where importance of goals is modelled using weights, and (2) preemptive priority GP, where a goal hierarchy is specified implying infinite trade-offs among goals placed in different levels of importance. These approaches may be too restrictive in modelling of real life decision making problems. In this paper, a novel fuzzy goal programming method is proposed, where the hierarchical levels of the goals are imprecisely defined. The imprecise importance relations among the goals are modelled using fuzzy relations. An additive achievement function is defined, which takes into consideration both achievement degrees of the goals and degrees of satisfaction of the fuzzy importance relations. Examples are given to illustrate the proposed method.
    Original languageEnglish
    Pages (from-to)1427–1433
    JournalEuropean Journal of Operational Research
    Issue number3
    Publication statusPublished - Sept 2007

    Bibliographical note

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    • Fuzzy sets
    • Fuzzy goal programming
    • Fuzzy importance relations


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