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The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making

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  • Chen, Ting-Yu
  • Chang, Chien-Hung
  • Rachel Lu, Jui-fen

Abstract

QUALIFLEX, a generalization of Jacquet-Lagreze’s permutation method, is a useful outranking method in decision analysis because of its flexibility with respect to cardinal and ordinal information. This paper develops an extended QUALIFLEX method for handling multiple criteria decision-making problems in the context of interval type-2 fuzzy sets. Interval type-2 fuzzy sets contain membership values that are crisp intervals, which are the most widely used of the higher order fuzzy sets because of their relative simplicity. Using the linguistic rating system converted into interval type-2 trapezoidal fuzzy numbers, the extended QUALIFLEX method investigates all possible permutations of the alternatives with respect to the level of concordance of the complete preference order. Based on a signed distance-based approach, this paper proposes the concordance/discordance index, the weighted concordance/discordance index, and the comprehensive concordance/discordance index as evaluative criteria of the chosen hypothesis for ranking the alternatives. The feasibility and applicability of the proposed methods are illustrated by a medical decision-making problem concerning acute inflammatory demyelinating disease, and a comparative analysis with another outranking approach is conducted to validate the effectiveness of the proposed methodology.

Suggested Citation

  • Chen, Ting-Yu & Chang, Chien-Hung & Rachel Lu, Jui-fen, 2013. "The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making," European Journal of Operational Research, Elsevier, vol. 226(3), pages 615-625.
  • Handle: RePEc:eee:ejores:v:226:y:2013:i:3:p:615-625
    DOI: 10.1016/j.ejor.2012.11.038
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Zhang-peng Tian & Jing Wang & Jian-qiang Wang & Hong-yu Zhang, 2017. "Simplified Neutrosophic Linguistic Multi-criteria Group Decision-Making Approach to Green Product Development," Group Decision and Negotiation, Springer, vol. 26(3), pages 597-627, May.
    2. Deveci, Muhammet & Cali, Umit & Kucuksari, Sadik & Erdogan, Nuh, 2020. "Interval type-2 fuzzy sets based multi-criteria decision-making model for offshore wind farm development in Ireland," Energy, Elsevier, vol. 198(C).
    3. Yang, Wu-E & Wang, Jian-Qiang, 2013. "Multi-criteria semantic dominance: A linguistic decision aiding technique based on incomplete preference information," European Journal of Operational Research, Elsevier, vol. 231(1), pages 171-181.
    4. Xiaoli Tian & Zeshui Xu & Xinxin Wang & Jing Gu & Fawaz E. Alsaadi, 2019. "Decision Models to Find a Promising Start-Up Firm with Qualiflex under Probabilistic Linguistic Circumstance," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1379-1402, July.
    5. Lifei Zhang & Fanyong Meng, 2018. "An Approach to Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on the Generalized Shapley-Choquet Integral," Complexity, Hindawi, vol. 2018, pages 1-19, June.
    6. Hasan Dinçer & Serhat Yüksel & Renata Korsakienė & Agota Giedrė Raišienė & Yuriy Bilan, 2019. "IT2 Hybrid Decision-Making Approach to Performance Measurement of Internationalized Firms in the Baltic States," Sustainability, MDPI, Open Access Journal, vol. 11(1), pages 1-22, January.
    7. Pu Ji & Hong-yu Zhang & Jian-qiang Wang, 2017. "Fuzzy decision-making framework for treatment selection based on the combined QUALIFLEX–TODIM method," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 3072-3086, October.
    8. 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.
    9. Mimica R. Milošević & Dušan M. Milošević & Dragan M. Stević & Ana D. Stanojević, 2019. "Smart City: Modeling Key Indicators in Serbia Using IT2FS," Sustainability, MDPI, Open Access Journal, vol. 11(13), pages 1-28, June.
    10. Shafaei Bajestani, Narges & Vahidian Kamyad, Ali & Nasli Esfahani, Ensieh & Zare, Assef, 2018. "Prediction of retinopathy in diabetic patients using type-2 fuzzy regression model," European Journal of Operational Research, Elsevier, vol. 264(3), pages 859-869.
    11. Liu, Bingsheng & Shen, Yinghua & Zhang, Wei & Chen, Xiaohong & Wang, Xueqing, 2015. "An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making," European Journal of Operational Research, Elsevier, vol. 245(1), pages 209-225.

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