Continuous-Valued Logic Algebra Studies on the Basic of Mathematical Dialectical Propositional Logic

Logic algebra is important to establish the basis of mathematical logic, so in this paper, complete continuous-valued logic algebra is proposed, the definitions of seven kinds of integrity cluster of logical operation model that may exist in continuous-valued propositional logic are given, which can directly include and deal with the four uncertainties that may exist in continuous-valued propositional logical operator model. They are the uncertainty of propositional true degree arising from true/false contradictions, the uncertainty of logical operator model arising from enemy/friends contradictions, the uncertainty of logical operator model arising from loose/strict contradictions, the uncertainty of logical operator model arising from familiar/unfamiliar contradictions. Continuous-valued logic algebra is the important basis for further establishment of continuous-valued of dialectical logic.