## Graded Method of Lattice-Valued Logic System Based on Residuated Lattice Semantics

**ZUO Wei-bing;College of Mathematics and Information Science,North China University of Water Resources and Electric Power;**

Based on evaluation state theory of residuated lattice and by defining probability measure in set of all evaluation states of residuated lattice and set of all formulate respectively,the probability truth degree of formula in residuated lattices semantics is introduced using the integral method,then the probability logic metric space is established in residuated lattices semantics,the approximate reasoning of quantitative logic methods have been entended to residuated lattices semantics,the feasible graded method of residuated lattices semantics is provided.

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【Fund】： 河南省基础与前沿技术研究计划(No.152300410112)

【CateGory Index】： O141.1;O153.1

**residuated lattice****evaluation state****probability truth degree****probability logic metric space****approximate reasoning**【Fund】： 河南省基础与前沿技术研究计划(No.152300410112)

【CateGory Index】： O141.1;O153.1

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