标题：Intuitionistic fuzzy lie sub-superalgebras and ideals of lie superalgebras
作者机构：[Chen, Wenjuan ] School of Mathematics, Shandong University, Jinan, 250100 Shandong, China
会议名称：2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
会议日期：24 April 2009 through 26 April 2009
来源：Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
摘要：In order to show the applications of intuitionistic fuzzy sets and generalize the concepts of fuzzy Lie subsuperalgebras and fuzzy ideals of Lie superalgebras, the theory of intuitionistic fuzzy Lie superalgebras is introduced in this paper. By defining Z2-graded intuitionistic fuzzy vector subspaces, intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals of a Lie superalgebra are given. Some examples are utilized to show the definitions of intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals. The relations between intuitionistic fuzzy Lie sub-superalgebras (intuitionistic fuzzy ideals) and Lie sub-superalgebras (ideals) are also investigated. © 2009 IEEE.