Bipolar logic and bipolar fuzzy logic - A unification of truth, fuzziness, and bipolarity

被引：0
|
作者：
Zhang, WR [1 ]
机构：
[1] Georgia So Univ, Dept Math & Comp Sci, Statesboro, GA 30460 USA
来源：
2002 ANNUAL MEETING OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY PROCEEDINGS | 2002年
关键词：
D O I：
10.1109/NAFIPS.2002.1018071
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
it is observed that bipolar equilibrium is truth. Bipolarity like fuzziness, as an integral part of truth, is inseparable from the truth. It is argued that Boolean logic and its extensions cannot be directly used to represent and reason with the coexistence of bipolar truth. A crisp bipolar combinational logic BCL1 and its fuzzy counterpart BCLF are proposed for bipolar modeling based on the ancient Chinese Yin-Yang philosophy. The new family of logical systems is distinguished from other models. Bipolar zero-order completeness and 1(st)-order soundness are proved with a Hilbert style proof theory based on unipolar axioms and rules of inference. In addition, the lair's case in the ancient paradox is redressed.
引用
收藏
页码：286 / 291
页数：6
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