Discrete Choquet integral based on intuitionistic fuzzy overlap functions and its application in multi-attribute decision making

基于直觉模糊重叠函数的离散Choquet积分及其在多属性决策中的应用

School of Mathematics and Data Sciences, Shaanxi University of Science and Technology, Xi'an 710021, China

Received: 1 April 2025

Abstract

For multi-attribute decision-making problems, a novel method is proposed in this paper, which combines intuitionistic fuzzy overlap functions with discrete Choquet integrals within the intuitionistic fuzzy measure's framework. This approach comprehensively accounts for attribute interdependencies and overlapping relationships in decision scenarios, effectively addressing limitations of existing Choquet integral-based methods. The validity of the proposed method has been verified through concrete case studies, thereby providing a new analytical tool for multi-attribute decision-making.

摘要

针对多属性决策问题, 以直觉模糊测度为基础, 通过融合直觉模糊重叠函数与离散Choquet积分, 提出了一种新的基于直觉模糊重叠函数的多属性决策方法。该方法充分考虑了多属性决策问题中, 属性间的相互重叠或依赖关系, 克服了现有以离散Choquet积分为基础的决策方法的不足。并通过具体案例, 验证了所提方法的有效性, 为多属性决策提供了一个新的工具。