Chapter 45 Improved Item Relational Structure Theory Based on Liu's Item Ordering Consistency Property

摘要

The well-known Ordering Theory (OT) does not consider the non-independence property of ordered items. For improving this drawback, the Item Relational Structure Theory (ERST) and Liu's Ordering Theory (LOT) were proposed. Although IRST is more sensitive than LOT and OT, the IRST does not satisfy Liu's consistency property of ordering relationship as LOT. In this chapter, for overcoming the abovementioned drawback by mathematical analysis, an improved item relational structure theory (IIRST) was proposed, it satisfies item ordering consistency property, and it is more sensitive than LOT and OT.