Ranking Method of Interval Numbers Based on Quantity Property
The uncertainty of objective environment and subjective recognition often leads to practical problems appeared in the form of interval numbers. Therefore, studying on the ranking of interval numbers has great worth in theory and practice. In this paper, firstly, we put forward a compound quantification description of interval numbers; furthermore, provide a ranking method based on quantity property and the basic principle this method must followed; after that, combining with the compound quantification description, we get an axiomatic system for the synthesizing problem of each index; finally, study on the structural method of synthesizing effect function, give two types of specific building criteria(i.e. additive and multiplicative model) and discuss the order-preserving property of this order structure.
Helen Zhang and David Jin
F. C. Li et al., "Ranking Method of Interval Numbers Based on Quantity Property", Applied Mechanics and Materials, Vols. 63-64, pp. 25-28, 2011