中文摘要：

根据模糊蕴涵算子θ（a,b）关于后件变量b的单调性,将文献中的400多个蕴涵算子分为三类,即后件单增（减）和后件非单调模糊蕴涵算子。进一步,给出了不同类型的蕴涵算子构造的模糊系统的数学表达式。结果表明：若后件单增蕴涵算子θ（a,b）满足θ（a,1）=φ（a）或后件单减蕴涵算子θ（a,b）满足θ（a,0）=φ（a）（其中φ（a）为关于a的函数,且当0〈a〈1时,0〈φ（a）〈1）,则由其构造的模糊系统的输出函数可为插值函数或拟合函数;若将蕴涵算子θ（a,b）视为后件变量b的一元函数时,θ（a,b）的最大值是与a无关的任意常量,则由该蕴涵算子构造的模糊系统的输出函数为阶跃函数,故这类模糊系统在实际应用中无太大意义。

英文摘要：

Firstly,concepts of monotone increasing（decreasing） fuzzy implication operators with respect to consequent variables are proposed,and monotonicity of more than 400 fuzzy implication operators θ（a,b） with respect to consequent variable b is verified.Furthermore,fuzzy systems constructed by different implication operators are discussed,and their mathematical expressions are given.The conclusions show that if a monotone increasing implication operator θ（a,b） satisfies θ（a,1）=φ（a） or a monotone decreasing implication operator satisfies θ（a,0）=φ（a）,in which φ（a） is a function with respect to a that satisfies 0〈φ（a）〈1 for a∈（0,1）,the output function of the corresponding fuzzy system is an interpolation function or a fitting function;if the maximum of θ（a,b） is a constant,the corresponding fuzzy system has step output,so the fuzzy system isn＇t practical.