Intuitionistic fuzzy sets and other fuzzy sets extensions representable by them

Issue title: Special Section: FLINS 2018

Guest editors: Cengiz Kahraman

Article type: Research Article

Authors: Atanassov, Krassimir^{a; *} | Vassilev, Peter^b

Affiliations: [a] Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria and Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas, Bulgaria | [b] Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

Correspondence: [*] Corresponding author. Krassimir Atanassov, Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria and Intelligent Systems Laboratory, Prof. Asen Zlatarov University, 8010 Bourgas, Bulgaria. E-mail: krat@bas.bg.

Abstract: In the present paper we show that Inconsistent intuitionistic fuzzy sets, Picture fuzzy sets and Neutrosophic fuzzy sets are representable by Interval-valued intuitionistic fuzzy sets, which themselves are representable by an ordered pair of the standard Intuitionistic fuzzy sets.

Keywords: Interval-valued intuitionistic fuzzy set, Intuitionistic fuzzy set, Inconsistent intuitionistic fuzzy set, Picture fuzzy set, Neutrosophic fuzzy set

DOI: 10.3233/JIFS-179426

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 1, pp. 525-530, 2020