J4 ›› 2009, Vol. 44 ›› Issue (10): 54-59.

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Theory of truth degrees in Lukasiewicz three valued propositional logic

 MA Li-Na, WANG Guo-Dun   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shaanxi,China; Institute of Mathematics, Shaanxi Normal University, Xi'an 710062, Shaanxi,China
  • Received:2009-01-17 Online:2009-10-16 Published:2009-12-07

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Abstract:

Based on the infinite product of unevenly distributed probability space, the theory of truth degrees in Lukasiewicz three valued propositional logicis introduced and inference rules with truth degrees are given. Moreover, it is proved that the set of truth degrees of propositions in the three valued (a/5,b/5,c/5)logic measure isdense in ［0,1］,and expressions of truth degrees are obtained. This paves the way for further study on approximate reasoning.

Key words: uneven probability space; truth degree; dense

CLC Number: 

  • O141.1
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