On filters of R₀-algebras connected to intuitionistic fuzzy sets

Article type: Research Article

Authors: Hedayati, H.

Affiliations: Department of Mathematics, Babol University of Technology, Babol, Iran

Note: [] Corresponding author. H. Hedayati, Department of Mathematics, Babol University of Technology, Babol, Iran. E-mails: hedayati143@yahoo.com, hedayati143@gmail.com

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.

Keywords: R$_{\rm 0}$-algebra, filter, (normal) intuitionistic fuzzy filter, maximal intuitionistic fuzzy filter

DOI: 10.3233/IFS-120665

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 3, pp. 587-593, 2013