2000
DOI: 10.1109/91.873577
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Interval type-2 fuzzy logic systems: theory and design

Abstract: In this paper, we present the theory and design of interval type-2 fuzzy logic systems (FLSs). We propose an efficient and simplified method to compute the input and antecedent operations for interval type-2 FLSs; one that is based on a general inference formula for them. We introduce the concept of upper and lower membership functions (MFs) and illustrate our efficient inference method for the case of Gaussian primary MFs. We also propose a method for designing an interval type-2 FLS in which we tune its para… Show more

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Cited by 1,654 publications
(141 citation statements)
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“…This may degrade the controller performance, especially when the plant is subjected to disturbances. Therefore, an advanced fuzzy logic (interval Type-2 FLC) was developed which deals with the issues of uncertainty in MFs and fuzzy rules [27,28]. Thus, an attempt has been made to design the pitch angle controller using an interval type-2 FLC.…”
Section: Introductionmentioning
confidence: 99%
“…This may degrade the controller performance, especially when the plant is subjected to disturbances. Therefore, an advanced fuzzy logic (interval Type-2 FLC) was developed which deals with the issues of uncertainty in MFs and fuzzy rules [27,28]. Thus, an attempt has been made to design the pitch angle controller using an interval type-2 FLC.…”
Section: Introductionmentioning
confidence: 99%
“…These are an extension of T1 FSs, which adds an extra degree of freedom to entitle an uncertainty factor in the systems [3]. T2 FSs have membership grades, which are also fuzzy [4]. According to Hisdal in [5], "increased fuzziness in a description means increased ability to handle inexact information in a logically correct manner".…”
Section: Introductionmentioning
confidence: 99%
“…Hence, to enhance the real-time performance of on-line ap-plications, the interval type-2 fuzzy logic was investigated in various articles (e.g., Castro, Castillo and Martinez [10,11] ). So, Simplified interval fuzzy sets have been used in most of T2FLC's used for on-line control.…”
Section: Introductionmentioning
confidence: 99%