Multiplicative Consistent q-Rung Orthopair Fuzzy Preference Relations with Application to Critical Factor Analysis in Crowdsourcing Task Recommendation

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-12-14 DOI:10.3390/axioms12121122

Xicheng Yin, Zhenyu Zhang

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引用次数: 0

Abstract

This paper presents a group decision-making (GDM) method based on q-rung orthopair fuzzy preference relations (q-ROFPRs). Firstly, the multiplicative consistent q-ROFPRs (MCq-ROFPRs) and the normalized q-rung orthopair fuzzy priority weight vectors (q-ROFPWVs) are introduced. Then, to obtain q-ROFPWVs, a goal programming model under q-ROFPRs is established to minimize their deviation from the MCq-ROFPRs and minimize the weight uncertainty. Further, a group goal programming model of ideal MCq-ROFPRs is constructed to obtain the expert weights using the compatibility measure between the ideal MCq-ROFPRs and the individual q-ROFPRs. Finally, a GDM method with unknown expert weights is solved by combining the group goal programming model and the simple q-rung orthopair fuzzy weighted geometric (Sq-ROFWG) operator. The effectiveness and practicality of the proposed GDM method are verified by solving the crucial factors in crowdsourcing task recommendation. The results show that the developed GDM method effectively considers the important measures of experts and identifies the crucial factors that are more reliable than two other methods.

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乘法一致的 q-Rung Orthopair 模糊偏好关系在众包任务推荐中的关键因素分析中的应用

本文提出了一种基于q-rung正交模糊偏好关系（q-ROFPRs）的群体决策（GDM）方法。首先，介绍了乘法一致 q-ROFPRs（MCq-ROFPRs）和归一化 q-rung orthopair 模糊优先权向量（q-ROFPWVs）。然后，为了获得 q-ROFPWVs，建立了 q-ROFPRs 下的目标编程模型，以最小化它们与 MCq-ROFPRs 的偏差，并最小化权重的不确定性。此外，还构建了理想 MCq-ROFPRs 的组目标编程模型，利用理想 MCq-ROFPRs 与单个 q-ROFPRs 之间的相容性度量来获取专家权重。最后，结合群体目标编程模型和简单 q-rung 正对模糊加权几何（Sq-ROFWG）算子，解决了专家权重未知的 GDM 方法。通过解决众包任务推荐中的关键因素，验证了所提出的 GDM 方法的有效性和实用性。结果表明，所开发的 GDM 方法有效地考虑了专家的重要衡量标准，并识别出了比其他两种方法更可靠的关键因素。

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

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.