可加φ-模糊偏好结构中的传递性指标

Indicators of Transitivity in Additiveφ-fuzzy Preference Structures

研究了可加φ-模糊偏好结构中各种关系的传递性指标,包括大偏好关系、严格偏好关系、无区别关系的传递性指标。首先,我们给出了严格偏好关系与大偏好关系的传递性指标的等价形式。然后,详细讨论了各种关系的相关指标与它们的传递性指标之间的关系。从而将现有文献中可加φ-模糊偏好结构有关传递性的相关结果推广到指标情况。

In this paper, we study the transitivity indicators of various fuzzy preference relations in an additive T-fuzzy preference structure, including the large preference relation, the strict preference relation and the indifference relation. Firstly, we present some equivalent expressions of the transitivity indicators of the large preference relation and the strict preference relation. Then we investigate the relationships between the involved indicators in detail. The research extends some results in additive φfuzzy preference structures to their indicator case.