Title :
On algebraic structure for a class of fuzzy numbers
Author :
Zhai, Jian-hua ; Han, Jin-fang ; Li, Yan
Author_Institution :
Hebei Univ. of Sci. & Technol., Shijiazhuang
Abstract :
In this paper, the algebraic structure for a class of point fuzzy numbers are investigated that new algebraic operations about point fuzzy numbers are presented, such that point fuzzy numbers set F(R) are F-Abel group, F-linear space, and F-commutative algebra, respectively. Example is also given to illustrate our results.
Keywords :
algebra; fuzzy set theory; number theory; F-Abel group; F-commutative algebra; F-linear space; algebraic structure; fuzzy numbers set; point fuzzy numbers; Algebra; Cybernetics; Distributed computing; Fuzzy sets; Machine learning; Space technology; Algebraic operations; F-Abel group; F-Commutative algebra; F-linear space; Fuzzy number;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620466
