针对构造直觉模糊蕴涵算子(IFIO)沿用Fuzzy集一元补导致出现的问题,提出了二元合成补(DCN)的概念,同时考虑了隶属函数和非隶属函数对直觉模糊集(IFS)求补的影响。给出了DCN的一些性质,证明了IFS标准补和对合补是DCN的特例。构造了基于DCN的R0型IFIO,并应用于直觉模糊取式(IFMP)问题的三I算法。实验结果表明,基于DCN的IFIO构造方法可行,构造出的IFIO容易满足IFS定义的要求,具有的性质适合IFMP三I算法,并能保证该算法在一定条件下是还原算法。
To the problems of continuing to use unary negators of Fuzzy sets in constructing intuitionistic fuzzy implication operators(IFIO),a concept of dual compositional negator(DCN) is proposed by taking into account both membership function and non-membership function in computing negator for intuitionistic fuzzy sets(IFS).Some properties of DCN are given and it is shown that the standard and involutive negators of IFS are special cases of DCN.Then a IFIO of R0 on the basis of DCN is constructed and applied on triple I method for intuitionistic fuzzy modus ponens(IFMP) problem.The results show that the constructing method of IFIO based on DCN is practicable,and the constructed IFIO is easy to satisfy the conditions of the IFS definition.It is also proven that the properties possessed by the constructed IFIO are fit for triple Ⅰ method of IFMP and can ensure that triple Ⅰ method for IFMP is reductive algorithm under some conditions.