An intuitionstic fuzzy factorial analysis model for multi-attribute decision-making under random environment
针对属性相关且受随机环境影响的多属性决策问题，提出了直觉模糊因子分析模型，通过引入随机直觉模糊变量的相关系数，给出决策步骤和算法，并用实例验证了方法的可行性。
In real multi-attribute decision-making problems, attributes are usually correlated and performances of alternatives are affected by random environmental factors. This paper proposes an intuitionistic fuzzy factorial analysis model for multi-attribute decision-making, where correlative phenomenon among attributes and random decision-making environment is considered. First, the measure of correlation coefficient for random intuitionistic fuzzy variables is introduced. Based on this measure, an intuitionistic fuzzy factorial analysis model is proposed under random environment. Then, the procedure and algorithm of random multi-attribute decision-making based on intuitionistic fuzzy factorial analysis model is given. Finally, two examples are discussed, and detailed comparisons are given to demonstrate the feasibility and validity of the proposed technique.