【摘要】 针对现有模糊蕴涵算子对于变元取值差异不敏感的问题，本文引入了一种新的蕴涵算子：λ-弱蕴涵.首先，给出了λ-弱蕴涵的两种合成方式；其次，给出了三类λ-弱蕴涵族：(F,N)-λ-弱蕴涵族、f-生成λ-弱蕴涵族和g-生成λ-弱蕴涵族，并讨论了每类λ-弱蕴涵的左单位元性质，交换性、有序性以及关于模糊否定的换置位对称性等代数性质；最后，将λ-弱蕴涵应用于全蕴涵三Ⅰ算法，针对一类特定的λ-弱蕴涵算子，建立了α-3Ⅰ_λ算法并分析算法的还原性.更多还原

【Abstract】 In this paper, a new implication operator: λ-weak implication is introduced to solve the problem that the existing fuzzy implication operators are not sensitive to the diference of argument values.First, two ways of synthesizing λ-weak implication are given.Secondly, three types of λ-weak implication families are presented, i.e,(F,N)-λ-weak implication family, f-generated-λ-weak implication family and g-generated-λ-weak implication family, and the algebraic properties of these implication families, such as left neutrality property, exchange principe, ordering property and the contrapositive symmetry with respect to fuzzy negation are discussed.Finally, the λ-weak implication is applied to the full implication reasoning algorithm, and the algorithm is es-tablished based on a special type of λ-weak implication operators and the reducibility of the algorithm is analyzed.更多还原