J4 ›› 2009, Vol. 44 ›› Issue (9): 70-74.

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Study of the conditional probability truth degree of formulas in the Gödel logic system

 YUAN Pan-Chi,  Zhang-Xin-Fang   

  1. School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:2008-11-10 Online:2009-09-16 Published:2009-11-05

Abstract:

The valuation density function of formulas in continuous value propositional logic system is obtained based on the idea of conditional probability.The definition of probability truth degree and conditional probability truth degree for formulas in the continuous value propositional logic system are proposed. The similarity degree and pseudodistance between formulas are defined and  their properties are given.

Key words: valuation density function; conditional probability truth degree; similarity degree; pseudodistance

CLC Number: 

  • O141.1
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[2] MA Li-Na, WANG Guo-Dun. Theory of truth degrees in Lukasiewicz three valued propositional logic [J]. J4, 2009, 44(10): 54-59.
[3] DUAN Jing-Yao, WANG Guo-Jun. Three types of fuzzy modal logics about K [J]. J4, 2008, 43(12): 31-39.
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