Ranking Model and Its Order-preserving Reduction Theory Based on Dominance Relations
Weng Shi-zho · Journal of Guangxi Normal University · 2013
Based on the dominance relation rough sets theory,a new ranking model is proposed through improving the original ranking model,and some properties that the dominance matrix and comprehensive dominance degree satisfied are analyzed.Then,the concept of rank reduction is firstly proposed in this paper,and four kinds of order-preserving reductions in different levels are defined according to the strength of the order-preserving degree,then a basic algorithm is given for calculating ranking reduction.Finally,two examples are used to show the feasibility of the ranking model and ranking reduction theory.