Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 1, Forward Problems
IEEE Transactions on Fuzzy SystemsPublished 1 December 2006
Jerry M. Mendel, Hongwei Wu
Citations223
SJR quartileQ1
SJR score3.61
SNIP2.80
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TL;DR
The main purpose of this paper is to demonstrate that the intuition is correct and to quantify the centroid of a symmetric interval T2 FS, and consequently its uncertainty, with respect to such geometric properties, and to formulate and solve forward problems, i.e., to go from uncertainties to data with associated uncertainty bounds.
Abstract
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.
Keywords
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