Abstract—Centroid computation of interval type-2 fuzzy logic system, is a pioneering work that provides a measure of uncertainty using foot print of uncertainty. The basics of fuzzy logic do not change from type-1 to higher type but the nature of the membership functions and the operations that depend on the membership functions inevitably change. In the paper, we first review the approaches of type-2 and interval type-2 fuzzy logic system (IT2FLS). In the paper a modified KM algorithm has been proposed to compute centroid of generalized type 2 fuzzy logic system. The modification in KM algorithm and generalization of centroid concept gives a new dimension in foot print of uncertainty.
Index Terms—Type-2 fuzzy logic system, interval type-2 fuzzy logic system (IT2FLS), KM algorithm, footprint of uncertainty (FOU).
Saikat Maity is now associated with Dr. B. C. Roy Engineering College, Fuljhore, DGP - 713206, India (e-mail: saikat.maity@bcrec.org).
Dr. Jaya Sil is now associated with Bnegal Engineering & Science University, Shibpur, Howrah, India (e-mail: jayasil@hotmail.com).
Cite: Saikat Maity and Jaya Sil, "Tuning of Centroid with Modified Kernik Mendel (KM) Algorithm," International Journal of Modeling and Optimization vol. 2, no. 6, pp. 718-722, 2012.
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