Hydrological Applications Of A Model-Based Approach To Fuzzy Set Membership Functions

Since the common approach to defining membership functions of fuzzy numbers is rather subjective, another, more objective method is proposed. It is applicable in situations where two models, say M-1 and M-2, share the same uncertain input parameter p. Model M-1 is used to assess the fuzziness of p, whereas the goal is to assess the fuzziness of the p-dependent output of model M-2. Simple examples are presented to illustrate the proposed approach.