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An Interval Based Score Method for Multiple Criteria Decision Making Problems

Author

Listed:
  • S. Saffarzadeh

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

  • A. Hadi-Vencheh

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

  • A. Jamshidi

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

Abstract

In this paper, a linear optimization approach to solve multiple criteria decision making (MCDM) problems is presented. For this purpose, two linear programming problems are proposed in the most favorable and least favorable senses. Then, an overall score as an interval number for each alternative is obtained. The lower bound is the score in the most favorable sense and its upper bound is the performance in the least favorable sense. The order of all alternatives is ranked in descending order in accordance with these interval numbers using the concept of degree of possibility. This study makes three major contributions. First, the proposed method employs linear programming (LP) technique to solve MCDM problems. Second, the common set of weights are utilized to solve the proposed LP models. Finally, the presented approach incorporates the decision maker preferences in decision making process.

Suggested Citation

  • S. Saffarzadeh & A. Hadi-Vencheh & A. Jamshidi, 2019. "An Interval Based Score Method for Multiple Criteria Decision Making Problems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 1667-1687, September.
    • Handle: RePEc:wsi:ijitdm:v:18:y:2019:i:05:n:s0219622019500299
    DOI: 10.1142/S0219622019500299
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    References listed on IDEAS

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    1. Abdollah Hadi-Vencheh & Yong Tan & Peter Wanke & Seyed Mohammadreza Loghmanian, 2021. "Air Pollution Assessment in China: A Novel Group Multiple Criteria Decision Making Model under Uncertain Information," Sustainability, MDPI, vol. 13(4), pages 1-13, February.
    2. Ahmed Mohammed & Morteza Yazdani & Amar Oukil & Ernesto D. R. Santibanez Gonzalez, 2021. "A Hybrid MCDM Approach towards Resilient Sourcing," Sustainability, MDPI, vol. 13(5), pages 1-30, March.

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