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What is Interval Type-2 Fuzzy Set & Logic

Handbook of Research on Computational Intelligence for Engineering, Science, and Business
An interval type-2 fuzzy set is one in which the membership grade of every domain point is a crisp set whose domain is some interval contained in [0,1]. That is, interval type-2 fuzzy sets let us model and minimizes the effects of uncertainties in rule-base interval type-2 fuzzy logic systems (IT2FLS). This came about initially by restricting type-2 fuzzy sets to a special category known as interval type-2 fuzzy sets in which the third-dimension was restricted to values of either zero or one. Interval type-2 fuzzy logic includes fuzzifier, fuzzy rule base, fuzzy inference engine and output processing where output processing contains type-reducer and defuzzifier.
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)
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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