A fuzzy goal programming method with imprecise goal hierarchy

Onur Aköz, Dobrila Petrovic

    Research output: Contribution to journalArticle

    50 Citations (Scopus)

    Abstract

    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
    Volume181
    Issue number3
    DOIs
    Publication statusPublished - Sep 2007

    Fingerprint

    Fuzzy Goal Programming
    Goal Programming
    Decision making
    Preemptive Priority
    Additive Function
    Fuzzy Relation
    Trade-offs
    Decision Making
    Modeling
    Hierarchy
    Fuzzy goal programming
    Goal programming

    Bibliographical note

    This paper is not available on the repository

    Keywords

    • Fuzzy sets
    • Fuzzy goal programming
    • Fuzzy importance relations

    Cite this

    A fuzzy goal programming method with imprecise goal hierarchy. / Aköz, Onur; Petrovic, Dobrila.

    In: European Journal of Operational Research, Vol. 181, No. 3, 09.2007, p. 1427–1433.

    Research output: Contribution to journalArticle

    @article{862f4f46727a4e94aa42932a61b5daa9,
    title = "A fuzzy goal programming method with imprecise goal hierarchy",
    abstract = "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.",
    keywords = "Fuzzy sets, Fuzzy goal programming, Fuzzy importance relations",
    author = "Onur Ak{\"o}z and Dobrila Petrovic",
    note = "This paper is not available on the repository",
    year = "2007",
    month = "9",
    doi = "10.1016/j.ejor.2005.11.049",
    language = "English",
    volume = "181",
    pages = "1427–1433",
    journal = "European Journal of Operational Research",
    issn = "0377-2217",
    publisher = "Elsevier",
    number = "3",

    }

    TY - JOUR

    T1 - A fuzzy goal programming method with imprecise goal hierarchy

    AU - Aköz, Onur

    AU - Petrovic, Dobrila

    N1 - This paper is not available on the repository

    PY - 2007/9

    Y1 - 2007/9

    N2 - 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.

    AB - 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.

    KW - Fuzzy sets

    KW - Fuzzy goal programming

    KW - Fuzzy importance relations

    U2 - 10.1016/j.ejor.2005.11.049

    DO - 10.1016/j.ejor.2005.11.049

    M3 - Article

    VL - 181

    SP - 1427

    EP - 1433

    JO - European Journal of Operational Research

    JF - European Journal of Operational Research

    SN - 0377-2217

    IS - 3

    ER -