基于下截集的直觉模糊蕴涵

Intuitionistic Fuzzy Implication Operators based on Lower Cut Sets

本文利用直觉模糊推理句"若x为A,则y为B"给出一种构造直觉模糊蕴涵的方法。首先,利用直觉模糊集A,B的下截集A~α,B~α构造模糊蕴涵关系;然后利用直觉模糊集的表现定理构造四个直觉模糊蕴涵算子;最后对所构造出算子的性质进行了讨论.

In this paper, based on the representation theorem of intuitionistic fuzzy sets, using the lower cut sets, the method is proposed to resolve the question about how to construct fuzzy implication operators to inference sentence ＂If x is A, then y is B＂ where A, B are intuitionistic fuzzy sets over X and Y, respectively, then four intuitionistic fuzzy implication operators can be obtained and properties of those operators are discussed.