The distributivity properties of fuzzy implication functions play an important role in fuzzy research. Making use of the solution of the autodistributivity functional equations, we give the necessary and sufficient conditions of two types of the distributivity property of fuzzy implications. It is essentially based on the weighted disjunctive operator, and new weighted and mean $(S,N)$-implication functions are introduced. Then using the pliant operators – where all the operators have a common generator function – we give a parametric form of the implication, namely the neutral value-dependent implication, and we show that some weakened properties of the fuzzy weighted implications are valid such as the identity principle, the ordering principle, the T-conditionality, the strong negation principle, etc. With this new concept, we use the fixed point of the negation as a threshold. We give a specific form of the new implication.

模糊蕴涵函数的分布特性在模糊研究中占有重要地位。利用自分配函数方程的解，给出了两类模糊蕴涵分配性质的充要条件。它本质上是基于加权析取算子，以及新的加权和均值$(秒,N)$- 引入了蕴涵函数。然后使用柔顺算子——其中所有算子都有一个共同的生成器函数——我们给出了蕴涵的参数形式，即中性值依赖蕴涵，并且我们证明了模糊加权蕴涵的一些弱化性质是有效的，例如恒等原则、排序原则、T 条件性、强否定原则等。有了这个新概念，我们使用否定的不动点作为阈值。我们给出了新蕴涵的特定形式。