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Data Construction Process And Qualiflex-Based Method For Multiple-Criteria Group Decision Making With Interval-Valued Intuitionistic Fuzzy Sets

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  • TING-YU CHEN

    (Department of Industrial and Business Management, Graduate Institute of Business and Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, Taoyuan 333, Taiwan)

Abstract

Based on Jacquet-Lagreze's permutation method, QUALIFLEX is an outranking model that investigates all possible permutations of alternatives with respect to the consequences of all criteria. The purpose of this paper is to develop a QUALIFLEX-based method for multiple criteria group decision making within a decision environment of interval-valued intuitionistic fuzzy sets. We conduct a statistical inference approach with finite population correction to construct interval-valued intuitionistic fuzzy numbers. In addition, we incorporate the relative importance of decision makers and fuse individual opinions to form collective ratings using a modified method with weighted interval estimations. In view of diversiform preference types (weak order, strict order, difference order, interval bound, and ratio bound), we represent multiple decision makers' various forms of preference structures and assess criterion weights under incomplete information. By means of score functions, accuracy functions, membership-uncertainty indices, and hesitation-uncertainty indices, a ranking procedure is employed to identify a criterion-wise preference of alternatives. A QUALIFLEX-based model is then established to measure the level of concordance of the complete preference order for handling multiple criteria group decisions. The feasibility of the proposed method is illustrated by a practical problem relating to the selection of a landfill site. As indicated in the application, the proposed method is useful for handling complicated group decision-making problems that involve comprehensive criteria and limited alternatives.

Suggested Citation

  • Ting-Yu Chen, 2013. "Data Construction Process And Qualiflex-Based Method For Multiple-Criteria Group Decision Making With Interval-Valued Intuitionistic Fuzzy Sets," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 425-467.
    • Handle: RePEc:wsi:ijitdm:v:12:y:2013:i:03:n:s021962201350017x
    DOI: 10.1142/S021962201350017X
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    References listed on IDEAS

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    1. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, April.
    2. David G. Luenberger & Yinyu Ye, 2008. "Linear and Nonlinear Programming," International Series in Operations Research and Management Science, Springer, edition 0, number 978-0-387-74503-9, April.
    3. J. H. P. Paelinck, 1976. "Qualitative Multiple Criteria Analysis, Environmental Protection And Multiregional Development," Papers in Regional Science, Wiley Blackwell, vol. 36(1), pages 59-76, January.
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    Cited by:

    1. Xiaolu Zhang & Zeshui Xu & Manfeng Liu, 2016. "Hesitant Trapezoidal Fuzzy QUALIFLEX Method and Its Application in the Evaluation of Green Supply Chain Initiatives," Sustainability, MDPI, vol. 8(9), pages 1-17, September.
    2. Chao Tian & Wen Yu Zhang & Shuai Zhang & Juan Juan Peng, 2019. "An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    3. Ke-Qin Wang & Hu-Chen Liu & Liping Liu & Jia Huang, 2017. "Green Supplier Evaluation and Selection Using Cloud Model Theory and the QUALIFLEX Method," Sustainability, MDPI, vol. 9(5), pages 1-17, April.
    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.

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