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

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International Journal of Intelligent Computing and Cybernetics 2023年第3期16卷 545-573页

作者： Benting Wan Juelin Huang Shenzhen Research Institute Jiangxi University of Finance and EconomicsNanchangChina School of Software and Internet of Things Engineering Jiangxi University of Finance and EconomicsNanchangChina

Purpose–The 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 ***/methodology/approach–In MAGDM,q-rung orthopair trapezoidal fuzzy numbers(q-ROTrFNs)are efficient to indicate the quantitative vagueness of *** q-ROTrFACI operator is defined and some properties are ***,a novel similarity measure is developed by fusing the area and coordinates of the q-rung orthopair trapezoidal fuzzy *** 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 ***–The paper investigates q-ROTrFACI operator to productively solve problems with interdependent ***,an approach is proposed to determine the center point of q–ROTrFNs and a q-rung orthopair trapezoidal fuzzy similarity is ***,CI-TODIM method is devised based on the proposed q-ROTrFACI operator and similarity in q-rung orthopair trapezoidal fuzzy *** illustration example of business models’solutions and hypertension health management are given to demonstrate the effectiveness and superiority of proposed ***/value–Thepaperdevelops a novelCI-TODIMmethodthat effectivelysolves 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.

关键词： Multi-criteria group decision-making TODIM Choquet integral q-rung orthopair trapezoidal fuzzy numbers

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