Approximate Reasoning Method Based on Some Intuitionistic Fuzzy Relations

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.