Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: part 1, forward problems

Date

2006-12-01

Advisors

Journal Title

Journal ISSN

ISSN

1063-6706

Volume Title

Publisher

IEEE

Type

Article

Peer reviewed

Abstract

Description

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

RAE 2008, UoA 23 Computer Science and Informatics

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.

Rights

Research Institute