The theory of α-truth degrees in 3-valued Pre-rough logical system is studied in this paper.Firstly,the definition of α-truth degrees is proposed.Secondly,the general reasoning rules about α-truth degrees are obtained.Lastly,the α-similarity degree and αt-pseudo-metric between two formulas are defined by means of the concept of α-truth degrees,and their properties are discussed.This offers a theory framework for approximate reasoning in 3-valued Pre-rough logic.
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