Ordering method of interval numbers based on synthesizing effect

Abstract

Interval number, as a simple description of the uncertain information, is a widely used signal processing tool in many actual programming problems. Therefore, the ordering of interval numbers is the key to solve programming problems. In this paper, based on the structural property of interval numbers, by distinguishing principal indices and secondary indices, we put forward a compound quantitative model for interval numbers; Further, we discuss the synthesizing effect strategy of the principal indices and secondary indices, and we establish a comparable model of interval numbers; Finally, we compare and analyze the performance through two concrete examples. The results indicate that this method has better structural characteristic, it not only includes the usual methods, but also can effectively merge decision consciousness into the decision process.