Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: part 1, forward problems
Fuzzistics was introduced by Mendel in 2003. It is associated with the inverse problem of mapping word data that are collected from a group of subjects to an interval type-2 fuzzy set (IT2 FS) model for the word. This paper focuses on the centroid of an IT2 FS as an uncertainty measure. This research shows how to compute closed form formulas for the lower and upper bounds of the centroid's two end-points. The significance of this paper is that its results can be used to go from interval data about a word to an IT2 FS model.
Citation : Mendel, J. and Wu, H. (2006) Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 1, forward problems. IEEE Transactions on Fuzzy Systems, 14 (6), pp. 781-792.
ISSN : 1063-6706
Research Group : Centre for Computational Intelligence