WU Hong-bo, ZHOU Jian-ren, ZHANG Qiong. The Properties of Truth Degrees of Formulas in (3n+1) -Valued Logic System R0L[J]. Acta Electronica Sinica, 2011, 39(10): 2230-2234.
DOI:
WU Hong-bo, ZHOU Jian-ren, ZHANG Qiong. The Properties of Truth Degrees of Formulas in (3n+1) -Valued Logic System R0L[J]. Acta Electronica Sinica, 2011, 39(10): 2230-2234.DOI:
The Properties of Truth Degrees of Formulas in (3n+1) -Valued Logic System R0L
the definition of the truth degrees of formulas is proposed in (3
n
+1)-valued propositional logic system
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R
0
L
and its main properties are discussed.The integral representation of the truth degrees of formulas is given
the truth degree modus ponens and truth degree hypothetical syllogism are proved.The concepts of similarity degree and pseudo-metric among formulas are introduced by means of the truth degree.The work of this paper is the base for establishing the framework of approximate reasoning on (3
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Related Author
ZHANG Jia-lu
WU Xia
WANG Guo-jun
HU Ming-di
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ZHANG Qiong
WU Hong-bo
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Related Institution
Department of Mathematics, Xiangnan University
Shanghai Key Laboratory of Trustworthy Computing East China Normal University Shanghai China
Institute of Mathematics Shaanxi Normal University Xi’an Shaanxi China
Shanghai Key Laboratory of Trustworthy Computing, East China Normal University
Institute of Mathematics, Shaanxi Normal University