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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. Hadi-Vencheh, A., 2010. "An improvement to multiple criteria ABC inventory classification," European Journal of Operational Research, Elsevier, vol. 201(3), pages 962-965, March.
    2. Ng, Wan Lung, 2007. "A simple classifier for multiple criteria ABC analysis," European Journal of Operational Research, Elsevier, vol. 177(1), pages 344-353, February.
    3. Piotr Zielniewicz, 2017. "A Ranking Method Based on the Aggregate Distance Measure Function in the Value Space," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 685-710, May.
    4. Gang Kou & Yanqun Lu & Yi Peng & Yong Shi, 2012. "Evaluation Of Classification Algorithms Using Mcdm And Rank Correlation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 197-225.
    5. Stewart, TJ, 1992. "A critical survey on the status of multiple criteria decision making theory and practice," Omega, Elsevier, vol. 20(5-6), pages 569-586.
    6. Ardalan Bafahm & Minghe Sun, 2019. "Some Conflicting Results in the Analytic Hierarchy Process," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 465-486, March.
    7. Govindan, Kannan & Jepsen, Martin Brandt, 2016. "ELECTRE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 250(1), pages 1-29.
    8. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    9. Ishizaka, Alessio & Siraj, Sajid, 2018. "Are multi-criteria decision-making tools useful? An experimental comparative study of three methods," European Journal of Operational Research, Elsevier, vol. 264(2), pages 462-471.
    10. Hua Zhu & Jianbin Zhao & Yang Xu & Limin Du, 2016. "Interval-Valued Belief Rule Inference Methodology Based on Evidential Reasoning-IRIMER," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1345-1366, November.
    11. Liu, Jiapeng & Liao, Xiuwu & Zhao, Wenhong & Yang, Na, 2016. "A classification approach based on the outranking model for multiple criteria ABC analysis," Omega, Elsevier, vol. 61(C), pages 19-34.
    12. Tervonen, Tommi & Figueira, José Rui & Lahdelma, Risto & Dias, Juscelino Almeida & Salminen, Pekka, 2009. "A stochastic method for robustness analysis in sorting problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 236-242, January.
    13. Blanca Ceballos & David A. Pelta & María T. Lamata, 2018. "Rank Reversal and the VIKOR Method: An Empirical Evaluation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 513-525, March.
    14. Lolli, F. & Ishizaka, A. & Gamberini, R., 2014. "New AHP-based approaches for multi-criteria inventory classification," International Journal of Production Economics, Elsevier, vol. 156(C), pages 62-74.
    15. Edmundas Kazimieras Zavadskas & Abbas Mardani & Zenonas Turskis & Ahmad Jusoh & Khalil MD Nor, 2016. "Development of TOPSIS Method to Solve Complicated Decision-Making Problems — An Overview on Developments from 2000 to 2015," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 645-682, May.
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    2. 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.

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