直觉三角模糊数距离及其在多属性决策上的应用

The Distance Measure among Intuitionistic Triangular Fuzzy Numbers and Its Application on Multi-attribute Decision-making

研究了直觉三角模糊数的距离问题。针对现有距离公式存在的不足,提出了一种新的衡量直觉三角模糊数距离的公式。同时,定义了直觉三角模糊数的相似度以及直觉三角模糊数向量之间的距离和相似度的计算公式,完善了直觉三角模糊数理论。最后,将直觉三角模糊数距离测度应用到多属性决策中,并用算例说明其可行性和实用性。

This paper studies the distance measure among intuitionistic triangular fuzzy numbers. With regard to the shortcomings of existing distance formula, new formulas to measure distance and similarity between two intuitionistic triangular fuzzy numbers or vectors were proposed. It also enriched intuitionistic triangular fuzzy number theory. Finally, the formula is applied to multiple attributes decision making problems and an numerical example shows that this method is feasible and effective.