Monotonicity Analysis of Fuzzy Reasoning _II_

Abstract

We have used the fuzzy reasoning method "Min-Max Gravity Method", "Product-Sum-Gravity Method" and "Simplified Fuzzy Reasoning" for the fuzzy control and the soft science. The monotonicity is the important point for applying fuzzy reasoning to these field. However,the numerical reasoning functions of these methods do not always hold the monotonicity condition. In this paper, by defining some fuzzy mathematical concepts, we would examine some conditions for the monotonicity of "Simplified Distance-type Reasoning Method".