Intuitionistic Fuzzy Histograms of an Image

Authors:
Ioannis K. Vlachos;George D. Sergiadis
Affiliations:
Aristotle University of Thessaloniki, Faculty of Technology, Department of Electrical & Computer Engineering, Telecommunications Division, University Campus, GR---54124, Thessaloniki, Greece;Aristotle University of Thessaloniki, Faculty of Technology, Department of Electrical & Computer Engineering, Telecommunications Division, University Campus, GR---54124, Thessaloniki, Greece
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

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Abstract

This paper proposes an automated approach for constructing the intuitionistic fuzzy histograms (IF-histograms) of a gray-scale digital image, based on the notion of intuitionistic fuzzy numbers (IF-numbers). A method for constructing parametric IF-numbers from their fuzzy counterparts using intuitionistic fuzzy generators (IFGs) is also presented, using an entropic optimization criterion. Finally, experimental results demonstrate the ability of the proposed approach to obtain efficiently the IF-histograms of gray-scale images.