Intuitionistic Fuzzy Approximations and Intuitionistic Fuzzy Sigma-Algebras
In this paper,concepts of intuitionistic fuzzy measurable spaces and intuitionistic fuzzy σ-algebras are first introduced.Relationships between intuitionistic fuzzy rough approximations and intuitionistic fuzzy measurable spaces are then discussed.It is proved that the family of all intuitionistic fuzzy definable sets induced from an intuitionistic fuzzy serial approximation space forms an intuitionistic fuzzy σ-algebra.Conversely,for an intuitionistic fuzzy σ-algebra generated by a crisp algebra in a finite universe,there must exist an approximation space such that the family of all intuitionistic fuzzy definable sets is the class of all measurable sets in the given intuitionistic fuzzy measurable space.
Approximation spaces intuitionistic fuzzy rough sets intu-itionistic fuzzy sets measurable spaces rough sets σ-algebras.
Wei-Zhi Wu Lei Zhou
School of Mathematics,Physics and Information Science,Zhejiang Ocean University,Zhoushan,Zhejiang 31 Institute for Information and System Sciences,Faculty of Science,Xian Jiaotong University,Xian,Sha
国际会议
成都
英文
355-362
2008-05-17（万方平台首次上网日期，不代表论文的发表时间）