关键词: &Gamma, -演绎真度, &Gamma, -演绎相似度, 近似推理, 等价

Abstract: This paper introduces the Γ-deduction truth degree of formulas in L* logic system at first. Based on Γ-deduction truth degree, this paper defines Γ-deduction similarity degree and pseudo distance, and discusses some basic properties. Then this paper defines three different types of approximate reasoning models in L* logical system, and conducts a detailed analysis on the relationship between three different types of approximate reasoning models of Γ-deduction truth degree. Finally, three types of approximate reasoning models are equivalent. The research in this paper lays a good foundation for further research on the divergence and compatibility of Γ-deduction truth degree and approximate reasoning.

Key words: Γ-deduction truth degree, Γ-deduction similarity degree, approximate reasoning, equivalence