Research on the Improvement of TODIM Decision Method Based on Triangular Intuitionistic Fuzzy Information

Yang Xie, Gongliang Li, Xiaolu Zhou
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Abstract

The core of management is decision making. Scientific and efficient decision making on complex problems is the key to modern enterprise management. The decision-making oriented complex problems is characterized by multi-attribute, fuzzy evaluation information, group decision - making and influenced by decision-maker's behavior. In order to meet the needs of complex problem decision making, the classical TODIM method is limited to deal with precise number, traditional fuzzy number and intuitionistic fuzzy number, etc., so it cannot well deal with the decision-maker's hesitation and the discretization of intuitionistic fuzzy number domain at the same time. In this paper, the triangular intuitionistic fuzzy number was extended to the TODIM method, and the triangular intuitionistic modulus mixed average and mixed geometric integration operator were proposed to realize the fuzzy information expression and decision calculation method that accords with the psychological behavior characteristics of decision-makers. This method can be applied to multi-attribute and group decision making in modern enterprise management with known attribute and decision-maker weight.
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基于三角直觉模糊信息的TODIM决策方法改进研究
管理的核心是决策。对复杂问题进行科学、高效的决策是现代企业管理的关键。面向决策的复杂问题具有多属性、评价信息模糊、群体决策和受决策者行为影响等特点。为了满足复杂问题决策的需要,经典的TODIM方法仅限于处理精确数、传统模糊数和直觉模糊数等,不能很好地同时处理决策者的犹豫和直觉模糊数域的离散化问题。本文将三角直觉模糊数推广到TODIM方法中,提出三角直觉模数混合平均算子和混合几何积分算子,实现符合决策者心理行为特征的模糊信息表达和决策计算方法。该方法可应用于属性已知、决策者权重已知的现代企业管理中的多属性和群体决策。
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