摘要： 通过定义一种直觉模糊加法算子，修正Ra的直觉化，研究直觉模糊三角模及其剩余蕴涵算子。将Mizumoto定义的系列模糊关系自然地扩展为直觉模糊关系，通过算例，从8个方面量化比较研究了9种基于不同直觉模糊关系的推理性能，对于直觉模糊假言推理和直觉模糊拒取式推理，Rs, Rg和Rgg都是性能比较好的直觉模糊关系，Rsg, Rm, Ra和Rgs次之，Rc, Rss性能最差。

关键词: 直觉模糊三角模, 假言推理, 拒取式推理, 三段论推理

Abstract: By defining an intuitionistic fuzzy addition operator, the intuitionistic fuzzy relation Ra is modified. The series fuzzy relations defined by Mizumoto are extended intuitionistic fuzzy relations naturally, based on intuitionistic fuzzy triangle norm and its residual implication operator in this paper. By using an example, nine reasonings based on different intuitionistic relations are researched comparatively from eight sides. For both intuitionistic fuzzy hypothetical reasoning and intuitionistic fuzzy rejection reasoning, Rs, Rg and Rgg are the best intuitionistic fuzzy relations, Rsg, Rm,, Ra and Rgs take the second place, and Rss and Rc are the worst.

Key words: intuitionistic fuzzy triangle norm, hypothetical reasoning, rejection reasoning, syllogism reasoning

中图分类号: 

• TP18