凸模糊函数判别法

Discrimination Method of Convex Fuzzy Function

介绍了在工程与电子网络优化等领域中因客观事物的模糊性而自然存在的凸模糊集与凸模糊函数的相关概念及特性 ,论证了两类凸模糊函数的充分必要条件 ,提出了凸模糊函数判别法 ,用实例说明了其应用方法 ,结果表明了其有效性与可靠性 .

Convex fuzzy sets and function exists naturally in the scopes such as engineering and electronic network optimum because of the fuzzy properties of impersonal things. Their correlative concepts and properties are expounded. The sufficient and necessary conditions of two kinds of convesx functions are demonstrated. A discrimination Method of Convsex Fuzzy Function is proposed. Its applied method is illustrated. And the results show the validity and reliability. This method is the extension of convex analysis and has a wide application fields such as mathematical programming and optimizing control theory.