A Multi-criteria Group Decision Making Based on Possibility Degree Matrix and $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR Method

Sidong Xian (), Ke Qing, Ling Tang and Huilan Pan
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Sidong Xian: Chongqing University of Posts and Telecommunications
Ke Qing: Chongqing University of Posts and Telecommunications
Ling Tang: Chongqing University of Posts and Telecommunications
Huilan Pan: Chongqing University of Posts and Telecommunications

Group Decision and Negotiation, 2023, vol. 32, issue 3, No 5, 633-666

Abstract: Abstract In this paper, we firstly put forward a new linguistic set called Z-probabilistic double hierarchy linguistic term set (Z-PDHLTS) based on Z-number, which considers both the complexity of linguistic variables and the credibility of evaluation information. Then, a new comparison method of Z-PDHLTS based on possibility degree is put forward to compare the size of two sets. In addition, a possibility degree matrix method and $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR method for multi-criteria group decision making problem with Z-PDHLTS are proposed to rank alternatives. Finally, an example of green mine selection is used and some comparative analyses are made to explain its effectiveness.

Keywords: MCGDM; Z-PDHLTS; Possibility degree matrix; $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR; Green mine selection (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10726-023-09820-6

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