A novel application of intuitionistic fuzzy sets theory in medical science: Bacillus colonies recognition

Abstract

This paper addresses four new distance measures as tools in pattern recognition for intuitionistic fuzzy sets (IFSs). Following the discussion on literature of distance measures, proposed measurement scales and the proof of their properties would be presented. In order to show the reliability of addressed formulations, this paper employs them in a part of medical diagnosis progress in bacillus colonies identification. The performed experiments test validity and reliability of the proposed models by running pattern recognition process on sixty cases of four different bacilli. Resulted outcomes by IFSs approach are compared with similar measures in regular fuzzy. Numerical comparisons reveal effectiveness of the proposed distance measurement scales and related pattern recognition progress.

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Intuitionistic fuzzy time series functions approach for time series forecasting

“…Atanassov (1986) and Atanassov (1999) gave the details of the theory and some applications for intuitionistic fuzzy sets. Bustince et al (1995), Cornelis and Deschrijver (2001), Szmidt and Kacprzyk (2001), Marinov and Atanassov (2005), Own (2009) and Davarzani and Khorheh (2013) applied intuitionistic fuzzy sets on different implementations. Moreover, Zheng et al (2013), Kumar and Gangwar (2016), Wang et al (2016), Bisht and Kumar (2016) and Fan et al (2017) proposed intuitionistic fuzzy time series method in their studies.…”