模糊开关函数的极小化

On minimization of fuzzy switching functions

研究了模糊开关函数的极小化问题 ,讨论了极小形式、非冗余形式和素形式的相互关系 ,给出了本质模糊素蕴涵的一些性质 ,构造了两个重要的例子 .结果表明 ,非冗余形式可能不是极小形式 ,关于本质模糊素蕴涵的两个定义是不等价的 .

The problem of minimization of fuzzy switching functions is researched thoroughly,the relations among minimal forms,irredundant forms and prime forms are discussed,some properties of essential fuzzy prime implicant are given out. Two important examples are constructed to show that an irredundant form probably is not a minimal form,and two definitions of essential fuzzy prime implicant are not equivalent.