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The multiplicative consistent Pythagorean fuzzy preference relation and its use in group decision-making. (Chinese. English summary) Zbl 1474.91051

Summary: The group decision-making problem with Pythagorean fuzzy preference relation (PFPR) is studied. The Pythagorean fuzzy sets and preference relation are combined to propose the concept of Pythagorean fuzzy preference relation, and the compatibility measure for Pythagorean fuzzy preference relations is defined. Based on the theoretical framework of intuitionistic fuzzy preference relation, the multiplicative consistent Pythagorean fuzzy preference relation (MCPFPR) and normalized Pythagorean fuzzy priority weight vector (PFPWV) are proposed, and a conversion formula is provided to convert this PFPWV into the MCPFPR. For any given PFPR, a goal programming model is developed to obtain its priority weight vector by minimizing its deviation from the MCPFPR and minimizing the indeterminacy of the priority weight vector. Furthermore, this model is extended to develop an overall goal programming model, which is used to construct an ideal MCPFPR, and the compatibility measure between the ideal MCPFPR and the individual PFPR is applied to obtain the weight vector of experts. For the PFPR group decision-making problem without weight information, based on the proposed goal programming models and the simple Pythagorean fuzzy weighted geometric (SPFWG) operator, a group decision-making method is developed. Finally, the effectiveness and practicability of the proposed group decision method are verified by solving the evaluation problem of the large data analysis platform.

MSC:

91B06 Decision theory
91B86 Mathematical economics and fuzziness
90B50 Management decision making, including multiple objectives
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