DocumentCode
3139388
Title
A new algorithm for decomposition problem of binary fuzzy relations
Author
Hongbiao Fan ; Jun-e Feng ; Lequn Zhang ; Hongli Lv
Author_Institution
Sch. of Math., Shandong Univ., Jinan, China
fYear
2013
fDate
23-26 June 2013
Firstpage
1
Lastpage
4
Abstract
This paper deals with the decomposition problem of a binary fuzzy relation defined in the Cartesian product of finite spaces. First, a necessary and sufficient condition on the solvability of the problem is shown. Then logical equations are converted into algebraic equations via semi-tensor product (STP) approach, based on which all solutions of the decomposition problem can be obtained. Finally, an illustrative example is shown to demonstrate effectiveness of the derived algorithm.
Keywords
fuzzy set theory; tensors; Cartesian product; STP approach; algebraic equations; binary fuzzy relations; decomposition problem; finite spaces; logical equations; semi tensor product; Educational institutions; Equations; Mathematical model; Matrix converters; Matrix decomposition; Presses; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ASCC), 2013 9th Asian
Conference_Location
Istanbul
Print_ISBN
978-1-4673-5767-8
Type
conf
DOI
10.1109/ASCC.2013.6606359
Filename
6606359
Link To Document