Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-10-31 DOI:10.3390/sym15112007

Bowen Hou, Yongming Chen

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引用次数: 0

Abstract

The generalized orthopair fuzzy set is more favored by decision-makers and extensively utilized in areas like supply chain management, risk investment, and pattern recognition because it offers a broader decision information boundary than the intuitionistic fuzzy set and Pythagorean fuzzy set. This enables it to express fuzzy information more comprehensively and accurately in multi-attribute decision-making problems. To this end, this paper combines the ability of the power average (PA) operator to eliminate the impact of extreme values and the advantage of the Bonferroni mean (BMs,t) operator in reflecting the relationships between variables, then incorporates weight indicators for different attributes to define the generalized orthopair fuzzy weighted power Bonferroni mean operator. The effectiveness of this operator is demonstrated through aggregation laws for generalized orthopair fuzzy information. Subsequently, the desirable properties of this operator are discussed. Based on these findings, a novel generalized orthopair fuzzy multi-attribute decision-making method, with a correlation between attributes, is proposed. Lastly, an investment decision-making example illustrates the feasibility and superiority of this method.

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广义矫形模糊加权幂Bonferroni均值算子及其在决策中的应用

由于广义正形模糊集比直觉模糊集和毕达哥拉斯模糊集提供了更广泛的决策信息边界，因此更受到决策者的青睐，广泛应用于供应链管理、风险投资、模式识别等领域。这使得它在多属性决策问题中能够更全面、更准确地表达模糊信息。为此，本文结合功率平均算子(PA)消除极值影响的能力和Bonferroni均值算子(bm,t)反映变量间关系的优势，结合不同属性的权重指标，定义广义正形模糊加权功率Bonferroni均值算子。通过对广义正形模糊信息的聚合规律证明了该算子的有效性。随后，讨论了该算子的理想性质。在此基础上，提出了一种考虑属性间相关性的广义正形模糊多属性决策方法。最后，通过投资决策实例说明了该方法的可行性和优越性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.