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Revising the OWA operator for multi criteria decision making problems under uncertainty

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  • Zarghami, Mahdi
  • Szidarovszky, Ferenc

Abstract

Multi criteria decision making (MCDM) problems are usually under uncertainty. One of these uncertain parameters is the decision maker (DM)'s degree of optimism, which has an important effect on the results. Fuzzy linguistic quantifiers are used to obtain the assessments of this parameter from DM and then, because of its uncertainty it is assumed to have stochastic nature. A new approach, entitled FSROWA, is introduced to combine the Fuzzy and Stochastic features into a Revised OWA operator. If the DM is not aware of the risk in decision, then the decision objective is to maximize the expected combined goodness measure. If the DM cares only about the risk, then minimizing the variance of the combined goodness measure is his/her objective. The results of the FSROWA provide the expected value and the variance of the combined goodness measure for each alternative. In order to combine these two attributes a composite goodness measure is introduced. This measure gives more robust decision outcomes. The theoretical results are illustrated in a watershed management problem.

Suggested Citation

  • Zarghami, Mahdi & Szidarovszky, Ferenc, 2009. "Revising the OWA operator for multi criteria decision making problems under uncertainty," European Journal of Operational Research, Elsevier, vol. 198(1), pages 259-265, October.
    • Handle: RePEc:eee:ejores:v:198:y:2009:i:1:p:259-265
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    5. Xuan Xu & Yifan Huang & Bo Hu & Chentao Li & Kenan Gong, 2024. "Identifying Key Barriers to Green Transition Development in China’s Express Industry Based on the Fuzzy DEMATEL Method," Sustainability, MDPI, vol. 16(14), pages 1-26, July.
    6. Mehdi Soltanifar & Hamid Sharafi, 2022. "A modified DEA cross efficiency method with negative data and its application in supplier selection," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 265-296, January.
    7. Carlos Llopis-Albert & José M. Merigó & Huchang Liao & Yejun Xu & Juan Grima-Olmedo & Carlos Grima-Olmedo, 2018. "Water Policies and Conflict Resolution of Public Participation Decision-Making Processes Using Prioritized Ordered Weighted Averaging (OWA) Operators," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(2), pages 497-510, January.
    8. Merigó, José M. & Palacios-Marqués, Daniel & Zeng, Shouzhen, 2016. "Subjective and objective information in linguistic multi-criteria group decision making," European Journal of Operational Research, Elsevier, vol. 248(2), pages 522-531.
    9. Dinçer, Hasan & Yüksel, Serhat, 2019. "An integrated stochastic fuzzy MCDM approach to the balanced scorecard-based service evaluation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 93-112.

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