Title: Fuzzy lattice and function approximation in image processing

Authors: Sasi Gopalan; C. Sheela; Madhu S. Nair; Souriar Sebastian

Addresses: School of Engineering, Cochin University of Science and Technology (CUSAT), Cochin 682 022, Kerala, India. ' Department of Science, Federal Institute of Science and Technology (FISAT), Ernakulam, Kochi, India. ' Department of Computer Science, University of Kerala, Kariavattom, Thiruvananthapuram 695581, Kerala, India. ' Department of Mathematics, St. Albert's College, Ernakulam, Kochi, India

Abstract: Lattice theory plays a key role in image processing with the help of isomorphic fuzzy lattices. The fuzzy lattice L is considered and all its properties are transformed. The fuzzy measure induces entropy and it is defined by means of isotone valuation. For the minimisation process in image enhancement problem the three parameters such as intensification parameter (t), the crossover approximation fuzzy point (C(x,l)) and the fuzzyfier (fh) are considered. In this study the function approximation in image enhancement is obtained at a fuzzy crossover point.

Keywords: universal approximation; fuzzy hypercubes; valuation; fuzzy entropy; fuzzy image processing; lattice theory; isomorphic fuzzy lattices; image enhancement.

DOI: 10.1504/IJISTA.2011.045483

International Journal of Intelligent Systems Technologies and Applications, 2011 Vol.10 No.4, pp.342 - 359

Available online: 17 Feb 2012 *

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