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Theory of truth degrees of propositions in two-valued logic
Authors:Email author<" target="_blank">Wang Guojun Email author<  Li Fu  Jianshe Song
Institution:1. Research Center for Science, Xi'an Jiaotong University, Xi'an 710049, China; Institute of Mathematics, Shaanxi Normal University, Xi'an 710062, China
2. Qinghai Nationality College, Xining 810000, China
3. Xi'an Hi-Tech Institute, Xi'an 710025, China
Abstract:By means of infinite product of evenly distributed probabilistic spaces of cardinal 2 this paper introduces the concepts of truth degrees of formulas and similarity degrees among formulas, and a pseudo-metric on the set of formulas is derived therefrom, this offers a possible framework for developing an approximate reasoning theory of propositions in two-valued logic.
Keywords:measurized mapping  truth degree  similarity degree  theorem with error  divergence degree  deviation
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