DocumentCode
2417140
Title
A New Fuzzy Arithmetic for Discrete Fuzzy Numbers
Author
Wang, Guixiang ; Wen, Chenglin
Author_Institution
Hangzhou Dianzi Univ., Hangzhou
Volume
1
fYear
2007
fDate
24-27 Aug. 2007
Firstpage
52
Lastpage
56
Abstract
In this paper, using the representations of discrete fuzzy numbers, we give a new kind of operations of addition and multiplication for discrete fuzzy numbers. Then, we show that the new addition and multiplication keep the closeness of the operation, so they get over the defect that the usual addition and multiplication does not keep the closeness of operation. And we also point out that when the usual addition of two discrete fuzzy numbers is still a discrete fuzzy number, the usual addition and the new addition are identical, and so are the usual multiplication and the new multiplication.
Keywords
fuzzy set theory; discrete fuzzy numbers; fuzzy arithmetic; multiplication; Arithmetic; Cybernetics; Fuzzy control; Fuzzy sets; Level set;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location
Haikou
Print_ISBN
978-0-7695-2874-8
Type
conf
DOI
10.1109/FSKD.2007.75
Filename
4405887
Link To Document