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General logical expression of k-valued and mix-valued pseudo-logical functions

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2 Author(s)
Liu Zhenbin ; Science and Information College, Qingdao Agricultural University, Qingdao 266109, P.R. China ; Wang Yuzhen

This paper investigates the general logical expression of k-valued and mix-valued pseudo-logical functions. First, by constructing multi-valued logical operators, we present the general logical expression of k-valued pseudo-logical functions. Second, we consider the most general case of mix-valued, and establish the logical expression of mix-valued pseudo-logical functions. Finally, we convert the pseudo-logical function into an algebraic form by using the semi-tensor product. Two illustrative examples are studied to demonstrate the corresponding theoretical results.

Published in:

Control Conference (CCC), 2012 31st Chinese

Date of Conference:

25-27 July 2012