A Choquet integral-based TODIM method for q-rung trapezoidal fuzzy numbers and its application in group decision-making

Int. J. Intell. Comput. Cybern. Pub Date : 2023-02-09 DOI:10.1108/ijicc-10-2022-0267

Benting Wan, Juelin Huang

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Abstract

PurposeThe purpose of this paper is to develop a multi-attribute group decision-making (MAGDM) method under the q-rung orthopair trapezoidal fuzzy environment, which calculates the interaction between the criteria depending on the proposed q-rung orthopair trapezoidal fuzzy aggregation Choquet integral (q-ROTrFACI) and employ TODIM (an acronym in Portuguese of Interactive and Multi-criteria Decision Making) to consider the risk psychology of decision-makers, to determine the optimal ranking of alternatives.Design/methodology/approachIn MAGDM, q-rung orthopair trapezoidal fuzzy numbers (q-ROTrFNs) are efficient to indicate the quantitative vagueness of decision-makers. The q-ROTrFACI operator is defined and some properties are proved. Then, a novel similarity measure is developed by fusing the area and coordinates of the q-rung orthopair trapezoidal fuzzy function. Based on the above, a Choquet integral-based TODIM (CI-TODIM) method to consider the risk psychology of decision-makers is proposed and two cases are provided to prove superiority of the method.FindingsThe paper investigates q-ROTrFACI operator to productively solve problems with interdependent criteria. Then, an approach is proposed to determine the center point of q--ROTrFNs and a q-rung orthopair trapezoidal fuzzy similarity is constructed. Furthermore, CI-TODIM method is devised based on the proposed q-ROTrFACI operator and similarity in q-rung orthopair trapezoidal fuzzy context. The illustration example of business models' solutions and hypertension health management are given to demonstrate the effectiveness and superiority of proposed method.Originality/valueThe paper develops a novel CI-TODIM method that effectively solves the MAGDM problems under the premise of fully considering the priority of criteria and the risk preference of decision-makers, which provides guiding advantages for practical decision-making and enriches the application of decision-making theory.

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基于Choquet积分的q阶梯形模糊数TODIM方法及其在群体决策中的应用

本文的目的是建立q阶正梯形模糊环境下的多属性群体决策(MAGDM)方法，根据提出的q阶正梯形模糊聚集Choquet积分(q-ROTrFACI)计算决策准则之间的相互作用，并采用TODIM (Interactive and Multi-criteria Decision Making)来考虑决策者的风险心理。确定备选方案的最优排序。设计/方法/方法在MAGDM中，q阶正梯形模糊数(q-ROTrFNs)能有效地反映决策者的定量模糊性。定义了q-ROTrFACI算子，并证明了它的一些性质。然后，通过融合q阶正梯形模糊函数的面积和坐标，提出了一种新的相似性度量方法。在此基础上，提出了一种考虑决策者风险心理的基于Choquet积分的TODIM (CI-TODIM)方法，并通过两个案例证明了该方法的优越性。研究了q-ROTrFACI算子有效解决相互依赖准则问题的方法。然后，提出了一种确定q—ROTrFNs中心点的方法，构造了q阶正梯形模糊相似度。在此基础上，基于所提出的q-ROTrFACI算子和q-rung正梯形模糊环境下的相似度，设计了CI-TODIM方法。以商业模式解决方案和高血压健康管理为例，验证了所提方法的有效性和优越性。本文提出了一种新颖的CI-TODIM方法，在充分考虑决策准则优先性和决策者风险偏好的前提下，有效地解决了MAGDM问题，为实际决策提供了指导优势，丰富了决策理论的应用。

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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Int. J. Intell. Comput. Cybern.

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