On filters of R0-algebras connected to intuitionistic fuzzy sets

Authors:
H. Hedayati
Affiliations:
Department of Mathematics, Babol University of Technology, Babol, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2013

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Abstract

Following Fuzzy implicative and Boolean filters of R0-algebras, Inf Sci 171 2005, 61--71, the notion of normal intuitionistic fuzzy filter of R0-algebras is introduced. Some methods are created to construct new intuitionistic fuzzy filters. Also some characteristic properties and equivalent conditions of this notion are investigated. Specially, it is shown that under certain conditions, a normal intuitionistic fuzzy filter is two-valued.