T-S-Ferrers性质与区间序指标

T-S-Ferrers Property and Interval Order Indicators

集中于T-S-Ferrers性质指标以及与之相关的区间序指标的研究。首先给出T-S-Ferrers性质指标的性质,包括T-S-Ferrers性质指标的等价形式、T-S-Ferrers性质指标与S-强完全指标的关系以及大偏好关系与严格偏好关系的T-S-Ferrers性质指标之间关系。然后定义区间序指标,并讨论区间序指标的性质以及T-S-Ferrers性质与区间序指标之间的关系。

In this paper, we concentrate on the study of the indicators of T-S-Ferrers property and interval order. First, we present some further properties of T-S-Ferrers indicator including its equivalent expression, the relationship between T-S-Ferrers indicator and strong completeness indicator, and the relationship between the T-S-Ferrers indicator of large preference and that of strict preference. Then we give the definition of an interval order indicator and discuss its properties. The relationship between the T-S-Ferrers indicator and the interval order indicator is also investigated.