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<p>In this paper, we propose a novel three-way multi-attribute decision-making method in a Pythagorean fuzzy environment, addressing the irrational behavior of decision-makers. We first determine the outranked class between alternatives using the proposed Pythagorean fuzzy ELECTRE method, and a new method for calculating conditional probabilities is determined. Then, combining TOPSIS theory with prospect theory, a new method for calculating utility function is proposed. Based on novel conditional probabilities and utility functions, we construct a new three-way decision-making framework. The effectiveness and feasibility of the proposed method are validated through a case study on factory carbon emissions, which is compared with other multi-attribute decision-making methods. Parameter analysis further demonstrates the stability and reliability of the method.</p>

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Prospect-TOPSIS-Based Three-Way Decisions with Pythagorean Fuzzy ELECTRE Method

  • 期刊论文

  • 发表日期：

    2025年4月9日

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  • Yin Liu,
  • Haidong Zhang,
  • Yanping He

摘要

In this paper, we propose a novel three-way multi-attribute decision-making method in a Pythagorean fuzzy environment, addressing the irrational behavior of decision-makers. We first determine the outranked class between alternatives using the proposed Pythagorean fuzzy ELECTRE method, and a new method for calculating conditional probabilities is determined. Then, combining TOPSIS theory with prospect theory, a new method for calculating utility function is proposed. Based on novel conditional probabilities and utility functions, we construct a new three-way decision-making framework. The effectiveness and feasibility of the proposed method are validated through a case study on factory carbon emissions, which is compared with other multi-attribute decision-making methods. Parameter analysis further demonstrates the stability and reliability of the method.