A fuzzy group linear programming technique for multidimensional analysis of preference

Hatami-Marbini, Adel;Tavana, Madjid;Saati, Saber;Kangi, Fatemeh
(2013) Journal of Intelligent and Fuzzy Systems — Vol. 25, n° 3, p. 723-735 (2013)

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Authors
  • Hatami-Marbini, AdelUCLouvain
    Author
  • Tavana, MadjidLa Salle University
    Author
  • Saati, SaberIslamic Azad University
    Author
  • Kangi, FatemehIslamic Azad University
    Author
Abstract
Although crisp data are fundamentally indispensable in the conventional linear programming technique for multidimensional analysis of preference (LINMAP), the observed values in the real-world problems are often imprecise or vague. These imprecise or vague data can be suitably characterized by linguistic terms which are fuzzy in nature. LINMAP has been widely used to solve multi-attribute decision making (MADM) problems. This paper extends the conventional LINMAP model to a fuzzy group decision making framework using trapezoidal fuzzy numbers. The ranking approach is used to transform the fuzzy model into a crisp model. The fuzzy LINMAP method proposed in this paper is a simple and effective tool for tackling the uncertainty and imprecision associated with the group MADM problems. A case study in fast food industry is presented to demonstrate the applicability of the proposed framework and exhibit the efficacy of the procedures.
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Citations

Hatami-Marbini, A., Tavana, M., Saati, S., & Kangi, F. (2013). A fuzzy group linear programming technique for multidimensional analysis of preference. Journal of Intelligent and Fuzzy Systems, 25(3), 723-735. https://doi.org/10.3233/IFS-120678 (Original work published 2013)