Fuzzy Criterion Set and Fuzzy Criterion Dynamic Programming

AbstractThis paper presents a framework for fuzzy criterion set and fuzzy criterion dynamic programming which generalizes the tools applicable to an array of fuzzy decision models, particularly those represented by the generalized reservoir operation and the stochastic inventory models. The objective is to maximize the expected fuzzy criterion function of the product of fuzzy criterion sets. We prove certain properties of the resultant models including existence, uniqueness, and stability theorems of solutions to this model and show that under the regular hypothesis assumption, the optimal control is a bounded critical number policy