An Interval Based Score Method for Multiple Criteria Decision Making Problems

S. Saffarzadeh, A. Hadi-Vencheh and A. Jamshidi ()
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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

International Journal of Information Technology & Decision Making (IJITDM), 2019, vol. 18, issue 05, 1667-1687

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.

Keywords: Multiple criteria decision making; interval number; linear programming (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219622019500299

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