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Matrix expression of finite BZMVdM-algebra.

Authors :
Yue, Shufang
Li, Ying
Zhao, Jianli
Source :
Journal of Intelligent & Fuzzy Systems. 2022, Vol. 43 Issue 3, p3469-3478. 10p.
Publication Year :
2022

Abstract

In this paper, we provide a systematic characterization of finite BZMVdM-algebra by using semi-tensor product of matrices. The abstract operation law about logic of the finite algebra is transformed into the simple operation of concrete logical matrices. In addition, we study some properties of BZMVdM-algebra, such as homomorphism, isomorphism, and the product of the BZMVdM-algebra. Through logical matrix operation, the direct verifiable conditions for detecting the above properties are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10641246
Volume :
43
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Intelligent & Fuzzy Systems
Publication Type :
Academic Journal
Accession number :
158370925
Full Text :
https://doi.org/10.3233/JIFS-213173