Duality and pseudo duality of dual disjunctive normal forms

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摘要

The paper introduces the concepts of dual disjunctive normal forms in classical logic and fuzzy logics with involution negation. The laws of their truth values are studied. One is called duality, the other is called pseudo duality. Dual disjunctive normal forms in classical logic hold duality, and dual disjunctive normal forms in fuzzy logics with involution negation hold either duality or pseudo duality.

论文关键词:Classical logic,Fuzzy logic,Disjunctive normal form,Duality,Pseudo duality

论文评审过程:Received 5 November 2010, Revised 26 February 2011, Accepted 25 April 2011, Available online 10 May 2011.

论文官网地址:https://doi.org/10.1016/j.knosys.2011.04.017