A Proposal of Distance-type Multi-fold and Multi-stage Fuzzy Reasoning Method

Abstract

In the previous papers, we have proposed two fuzzy reasoning methods of distance-type fuzzy reasoning method and distance-type fuzzy reasoning method with truth value of proposition. To expand the proposed two fuzzy reasoning methods further, a new distance-type multi-fold and multi-stage fuzzy reasoning method is proposed in this paper. This fuzzy reasoning method holds main properties of the previous methods because this is an expansion of the methods. In addition, so-called the problems of explosion of fuzziness existing in the traditional multi-fold and multi-stage fuzzy reasoning method can be avoided thoroughly.