Facility location problems with fuzzy demands based on parametric assessment

Pei Chun Lin, Junzo Watada, Berlin Wu

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    We discuss uncertainty included in demands in facility location problem in this paper. The uncertain demand is named as fuzzy demand in the paper. In the facility location model, the parameters of fuzzy demand are determined by calculating the estimated expected value of the fuzzy demand, which is obtained by using estimated parameters of underlying probability distribution function of fuzzy data. Moreover, we propose a defuzzification formula of the fuzzy demand named a realization of fuzzy demand. The defuzzification formula of fuzzy demand composes the upper bound of fuzzy demand and the lower bound of fuzzy demand. Moreover, an error of fuzzy demand is assessed as mean absolute percentage error of fuzzy demand. Empirical studies show that we can solve the real-life location problem by using the defuzzification formula of fuzzy demand and get higher profit in our facility location model than conventional methods.

    Original languageEnglish
    Title of host publicationProceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013
    Pages795-800
    Number of pages6
    DOIs
    Publication statusPublished - 2013
    Event9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 - Edmonton, AB
    Duration: 2013 Jun 242013 Jun 28

    Other

    Other9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013
    CityEdmonton, AB
    Period13/6/2413/6/28

    ASJC Scopus subject areas

    • Computer Networks and Communications

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  • Cite this

    Lin, P. C., Watada, J., & Wu, B. (2013). Facility location problems with fuzzy demands based on parametric assessment. In Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 (pp. 795-800). [6608502] https://doi.org/10.1109/IFSA-NAFIPS.2013.6608502