A two-grade approach to ranking interval data

Authors: Peng Song, Jiye Liang, Yuhua Qian

Abstract:

Information granulation and entropy theory are two main approaches to research  uncertainty of an information system, which have been widely applied in many  practical issues. In this paper, the characterizations and representations of information granules under various binary relations are investigated in information  systems, an axiom definition of information granulation is presented, and some  existing definitions of information granulation become its special forms. Entropy  theory in information systems is further developed and the granulation monotonicity of each of them is proved. Moreover, the complement relationship between  information granulation and entropy is established. This investigation unifies the  results of measures for uncertainties in complete information systems and incomplete information systems.

Keywords: information systems, information granule, information granulation, entropy, rough set

A two-grade approach to ranking interval data.pdf

Fri Dec 21 15:30:00 CST 2012