A new similarity measure between interval-valued intuitionistic fuzzy sets

Article type: Research Article

Authors: Singh, Pushpinder

Affiliations: Department of Computer Science, Palacky University, 17. listopadu 12, Olomouc, Czech Republic

Note: [] Corresponding author. Pushpinder Singh, Department of Computer Science, Palacky University, 17. listopadu 12, CZ-77146, Olomouc, Czech Republic, Tel.: + 420608828914, + 919463160230; E-mails: pushpindersnl@gmail.com, pushpinder.singh@upol.cz

Abstract: Interval-valued intuitionistic fuzzy sets gained attention from researcher for their applications in various field. The main of this paper is to propose a new similarity measure for interval-valued intuitionistic fuzzy sets. Some properties of proposed similarity measure has been presented this paper. Also the proposed and existing similarity measure are compared to show that the proposed similarity measure is more reasonable than some of the existing similarity measures. For practical use, proposed similarity measure is applied to pattern recognition and in a bidirectional approximate reasoning systems.

Keywords: Interval-valued intuitionistic fuzzy sets, similarity measure, pattern recognition, bidirectional approximate reasoning

DOI: 10.3233/IFS-131024

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 555-566, 2014