单调函数关系限定下的模糊算子的研究

The Study of the Fuzzy Arithmetic Constrained by Monotone Function

鉴于标准的模糊算子运算随着运算次数增加,结果越来越模糊的局限性,考虑了模糊算术因子之间的相关关系,介绍了限定性的模糊算子和有关模糊结构元的理论,给出了二元运算之间因子存在单调函数约束限制的模糊算子,利用结构元的方法,还给出了此类模糊运算结果的解析表达形式。

In the course of the calculation, the computational result of the standard fuzzy arithmetic become more and more fuzzy, with the times of calculation is grow. As to the default, thought over the correlation of fuzzy set, the constrained fuzzy arithmetic and the theory of fuzzy structure element are introduced, gave a fuzzy arithmetic constrained by monotone function are introduced. The most of all, the expression of the solution of this fuzzy calcution is given.