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A mathematical programming model for a multi-objective supplier selection and order allocation problem with fuzzy objectives

Author

Listed:
  • Nima Kazemi
  • Ehsan Ehsani
  • Christoph H. Glock
  • Kurt Schwindl

Abstract

This paper studies a multi-objective supplier selection and order allocation problem with fuzzy objectives. The problem is formulated as a linear programming model, and three interactive and non-interactive approaches are suggested for solving the problem, namely interactive fuzzy multi-objective linear programming (i-FMOLP), interactive fuzzy goal programming (IFGP) and a standard fuzzy programming approach. The objective of the paper is to efficiently obtain solutions that are close to the aspiration levels and the decision maker's satisfaction degree. The performance of the suggested approaches and the weighted max-min approach of an earlier study are evaluated by using a set of metric distance functions. The results obtained illustrate that the solutions of the approaches applied in this paper are closer to the ideal solution as compared to the compromise solution of the weighted max-min method used in an earlier study.

Suggested Citation

  • Nima Kazemi & Ehsan Ehsani & Christoph H. Glock & Kurt Schwindl, 2015. "A mathematical programming model for a multi-objective supplier selection and order allocation problem with fuzzy objectives," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 21(4), pages 435-465.
    • Handle: RePEc:ids:ijsoma:v:21:y:2015:i:4:p:435-465
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    Citations

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    Cited by:

    1. Montanari, Roberto & Bottani, Eleonora & Shekarian, Ehsan & Kazemi, Nima, 2017. "A model for the analysis of procurement strategies in the economic order interval environment," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 79-98.
    2. Bingsheng Liu & Meiqing Fu & Shuibo Zhang & Bin Xue & Qi Zhou & Shiruo Zhang, 2018. "An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 407-424, January.
    3. Nima Kazemi & Salwa Hanim Abdul-Rashid & Ehsan Shekarian & Eleonora Bottani & Roberto Montanari, 2016. "A fuzzy lot-sizing problem with two-stage composite human learning," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 5010-5025, August.
    4. Saheeb Ahmed Kayani & Salman Sagheer Warsi & Raja Awais Liaqait, 2023. "A Smart Decision Support Framework for Sustainable and Resilient Supplier Selection and Order Allocation in the Pharmaceutical Industry," Sustainability, MDPI, vol. 15(7), pages 1-30, March.

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