可变模糊集模型及论可拓方法用于水科学的错误

Variable fuzzy sets model and demonstration of inaccuracy of extensible methods applied in water science

给出可变模糊集相对隶属函数的表示形式与可变模糊集模型,它们是可变模糊集理论的重要内容,是模糊水文水资源学的基本模型,可用于评价、识别、预测等不同的场合,并列举了一个应用实例。以简明形式证明可拓学论著中关联函数基本公式的错误,分析了可拓学中的数学逻辑错误。指出可拓方法不能用于水科学等工程领域。

The relative membership functions in the theory of variable fuzzy sets and model of variable fuzzy sets are the basic models of fuzzy hydrology and water resources, and can be applied in different fields such as assessment, recognition, forecast and so on. And a corresponding case was given. The inaccuracy of the basic equations of dependent function in books and papers of extenics was proved in concise form, and the mathematic logic inaccuracy in extenics was analyzed, which showed that the extensible methods could not be applied in water science field, and so on.