【摘要】 给出了蕴涵算子族的定义,将蕴涵算子的性质进一步推广,给出了蕴涵算子族的16条常用性质.基于含参数的三角模和余三角模构造了42种蕴涵算子族.验证了所构造的蕴涵算子族是否满足16条常用性质,揭示了它们与几个重要蕴涵算子族之间的关系.更多还原

【Abstract】 Fuzzy implication operator family was defined,properties of fuzzy implication operators were further expanded,and 16 common properties were proposed.Fourty two families of fuzzy implication operators were constructed based on triangular and co-triangular norms with parameters.Whether the 42 families of fuzzy implication operators satisfy the 16 common properties was examined.The relations of the said 42 families with other important families were investigated.更多还原