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  2006, Vol. 19 Issue (4): 433-438    DOI:
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Semantic Analyses for Formulas in Rough Logic and Reasoning Study Based on the Semantic Analysis
YAN Lin , WANG QuanRui , LIU Yan
Key Laboratory for Intelligent Information Processing, College of Computer and Information Technology, Henan Normal University, Xinxiang 453007

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Abstract  In the first place, a discussion is made to construct a kind of formulas called nary formulas in an approximate space of rough set theory. These formulas are an expansion of the formulas in Pawlak rough logic, so that the domains of the nary formulas are extended from subsets of U to subsets of Un(=U×U×…×U) . Then based on Pawlak rough logic, five logical values are efined for the nary formulas, and through these logical value operations the study about rough logical reasoning in semantics is discussed. Some properties indicate that some forms of logical reasoning in classical logic are also true in rough logic for some rough logical values. However, because 5value rough logic is different from classical 2value logic, some new properties are naturally obtained.
Key wordsApproximate Space      Rough Truth      Rough Falsity      Equivalence Relation      Partition     
Received: 28 July 2005     
ZTFLH: TP301  
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YAN Lin
WANG QuanRui
LIU Yan
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YAN Lin,WANG QuanRui,LIU Yan. Semantic Analyses for Formulas in Rough Logic and Reasoning Study Based on the Semantic Analysis[J]. , 2006, 19(4): 433-438.
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