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What is Type-2 Fuzzy Set Defuzzification

Chapter 1
Handbook of Research on Computational Intelligence for Engineering, Science, and Business
Defuzzification of a type-2 fuzzy sets consists of two stages: type-reduction, creating a type-1 fuzzy set, and defuzzification of the resultant type-1 fuzzy set. The second stage is easily implemented; the first stage is more problematic. We defuzzify the type-reduced set to get a crisp output from a type-2 FLS. Having both the defuzzified output and its associated type-reduced set is analogous to having both the mean and its associated standard deviation for a random variable.
Published in Chapter:
Computational Intelligence Using Type-2 Fuzzy Logic Framework
A. Neogi (The University of Burdwan, India), A.C. Mondal (The University of Burdwan, India), and S.K. Mandal (National Institute of Technical Teachers’ Training & Research, India)
Copyright: © 2013 |Pages: 29
DOI: 10.4018/978-1-4666-2518-1.ch001
Abstract
In this chapter, the authors expand the notion of type-2 fuzzy sets. An introduction to standard and interval (type-2) fuzzy sets and systems is explained in the early part of the discussion. The chapter also covers the ideas of hybrid type-2 fuzzy system. Next, the authors study the applicability of type-2 fuzzy logic (FL) system in student’s performance in oral presentation as it is clearly new field of research topic and have an excellent opportunity to combine several fuzzy set method developed in the recent years. The proposed application shows the linkage of type-2 fuzzy system with TOPSIS. The present chapter also highlights the possible future directions for type-2 FL system research. By the end of the chapter, the authors hope that even those with little previous experience of fuzzy logic should be enabled to apply these methods in their own application areas and/or begin research in this fascinating and exciting area.
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