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

Author

Zhenbin, Liu ; Yuzhen, Wang

Author_Institution

Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China

fYear

2012

fDate

25-27 July 2012

Firstpage

66

Lastpage

71

Abstract

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.

Keywords

mathematical operators; matrix multiplication; multivalued logic; tensors; algebraic pseudological function; general logical expression; k-valued pseudological functions; mix-valued pseudological functions; multivalued logical operators; semitensor product; Boolean functions; Educational institutions; Games; Manganese; Polynomials; Vectors; General Logical Expression; Pseudo Logical Function; Semi-tensor Product; Structural Matrix;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6389903