Theory of Truth Degrees in 3-Valued Propositional Pre-rough Logic

摘要

By means of the function induced by a logical formula A, the truth degree's concept of a logical formula A in the 3-valued pre-rough logic is introduced in this paper. Moreover, truth degree MP rules and truth degree HS rules are given. Lastly, we prove that the set of truth degrees is dense in [0,1]. The results of the paper enrich the studies of 3-valued pre-rough logic.