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A novel outranking method for multiple criteria decision making with interval-valued Pythagorean fuzzy linguistic information

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Abstract

This paper aim to propose a novel outranking method based on interval-valued Pythagorean fuzzy linguistic set (IVPFLS) to estimate alternatives for decision makers. With the rapid increase of the complexity, the challenges of a group of decision makers, a high degree of uncertainty and conflicting criteria are associated with multiple criteria decision making (MCDM) problems and few studies for these. In this regard, the outranking-VIKOR (O-VIKOR) method with the construction of compromise solution considers “group utility” and “individual regret” in pairwise alternatives. To fully show the compromise outranking relation, the O-VIKOR method allows decision makers reach consensus by mutual concessions when the dominant position from alternatives is extant. Subsequently, we define the credibility formula that constitutes a complementary judgment matrix for devoting to ranking the alternatives more precision. When it is necessary to process the evaluation information of multiple decision makers, the interval-value Pythagorean fuzzy linguistic entropic induced ordered weighted averaging (IVPFLEIOWA) operator is proposed with entropic order-inducing variable which includes a new interval-value Pythagorean fuzzy linguistic entropy for measuring uncertainty to capture the interrelationship among the primary preference of decision makers. Finally, a case study on site selection problem for a manufacturer is presented to illustrate the efficiency of our proposed method and make comparative analysis with other methods.

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Acknowledgements

This work was supported by the Graduate Teaching Reform Research Program of Chongqing Municipal Education Commission (No. YJG183074),Chongqing Social Science Planning Project (No. 2018YBSH085), Chongqing Research and Innovation Project of Graduate Students (No. CYS18252, No. CYS2019254), and the Natural Science Foundation Project of Chongqing (No. cstc2019jcyj-msxmX0716).

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Authors and Affiliations

  1. Key Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Sidong Xian & Yifei Sun

  2. School of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    DongXu Yu & Zhou Liu

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  1. Sidong Xian
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  2. DongXu Yu
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  4. Zhou Liu
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Correspondence to Sidong Xian.

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Communicated by Anibal Tavares de Azevedo.

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Xian, S., Yu, D., Sun, Y. et al. A novel outranking method for multiple criteria decision making with interval-valued Pythagorean fuzzy linguistic information. Comp. Appl. Math. 39, 58 (2020). https://doi.org/10.1007/s40314-020-1064-5

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  • DOI: https://doi.org/10.1007/s40314-020-1064-5

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