@INPROCEEDINGS { Rsds4507,
author = {Zhou, Lei and Wu, Wei-Zhi},
title = {Intuitionistic Fuzzy Approximations and Intuitionistic Fuzzy Sigma-Algebras},
booktitle = {Proceedings of the Third International Conference on Rough Sets and Knowledge Technology (RSKT'2008)},
series = = {Lecture Notes in Artificial Intelligence},
volume = 5009,
pages = {355--362},
publisher = {Springer-Verlag},
address = {Heidelberg - Berlin, Germany},
month = {May},
year = 2008,
editor = {Wang, Guoying and Li, Tianrui and Grzymala-Busse, Jerzy W. and Miao, Duoqian and Skowron, Andrzej and Yao, Yiyu},
issn = {03029743},
isbn = {978-3-540-69069-6},
abstract = {In this paper, concepts of intuitionistic fuzzy measurable spaces and intuitionistic fuzzy sigma-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 sigma-algebra. Conversely, for an intuitionistic fuzzy sigma-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.},
keywords = {approximation spaces, intuitionistic fuzzy rough sets, intuitionistic fuzzy sets, measurable spaces, rough sets, ?-algebras, },
}