Solving fuzzy programming with a consistent fuzzy number ranking

Thanh Nguyen, Vincent Lee, Abbas Khosravi, Douglas Creighton, Saeid Nahavandi

    Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

    2 Citations (Scopus)

    Abstract

    Some illustrative examples are provided to identify the ineffective and unrealistic characteristics of existing approaches to solving fuzzy linear programming (FLP) problems (with single or multiple objectives). We point out the error in existing methods concerning the ranking of fuzzy numbers and thence suggest an effective method to solve the FLP. Based on the consistent centroid-based ranking of fuzzy numbers, the FLP problems are transformed into non-fuzzy single (or multiple) objective linear programming. Solutions of FLP are then crisp single or multiple objective programming problems, which can respectively be obtained by conventional methods.

    Original languageEnglish
    Title of host publicationProceedings 2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC)
    Place of PublicationPiscataway NJ USA
    PublisherIEEE, Institute of Electrical and Electronics Engineers
    Pages551-556
    Number of pages6
    ISBN (Electronic)9781479938407
    DOIs
    Publication statusPublished - 2014
    EventIEEE International Conference on Systems, Man and Cybernetics 2014 - San Diego, United States of America
    Duration: 5 Oct 20148 Oct 2014

    Conference

    ConferenceIEEE International Conference on Systems, Man and Cybernetics 2014
    CountryUnited States of America
    CitySan Diego
    Period5/10/148/10/14

    Keywords

    • Fuzzy linear programming - FLP
    • Fuzzy multiobjective linear programming - FMOLP
    • Fuzzy number centroid
    • Ranking fuzzy numbers

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