research-article

Type-2 fuzzy sets made simple

Authors:

J. M. Mendel,

R. I.B. JohnAuthors Info & Claims

IEEE Transactions on Fuzzy Systems, Volume 10, Issue 2

Pages 117 - 127

https://doi.org/10.1109/91.995115

Published: 01 April 2002 Publication History

Abstract

Type-2 fuzzy sets let us model and minimize the effects of uncertainties in rule-base fuzzy logic systems. However, they are difficult to understand for a variety of reasons which we enunciate. In this paper, we strive to overcome the difficulties by: (1) establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, (2) presenting a new representation for type-2 fuzzy sets, and (3) using this new representation to derive formulas for union, intersection and complement of type-2 fuzzy sets without having to use the Extension Principle

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Güven YKöklü AKumbasar T(2025)Exploring Zadeh's General Type-2 Fuzzy Logic Systems for Uncertainty QuantificationIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.342636333:1(314-324)Online publication date: 1-Jan-2025
https://dl.acm.org/doi/10.1109/TFUZZ.2024.3426363
Jeya Sutha MRamesh Dhanaseelan FFelix Nes Mabel MVijumon V(2024)T2FMJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23291846:2(3231-3244)Online publication date: 14-Feb-2024
https://dl.acm.org/doi/10.3233/JIFS-232918
Umoh UAsuquo DEyoh IMurugesan V(2024)A comparative analysis of prediction problems utilizing Interval type-2 fuzzy and machine learning modelsInternational Journal of Hybrid Intelligent Systems10.3233/HIS-24000820:4(301-316)Online publication date: 1-Jan-2024
https://dl.acm.org/doi/10.3233/HIS-240008
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Type-2 fuzzy sets made simple
1. Computing methodologies
  1. Artificial intelligence
    1. Knowledge representation and reasoning
2. Theory of computation

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cover image IEEE Transactions on Fuzzy Systems

IEEE Transactions on Fuzzy Systems Volume 10, Issue 2

April 2002

159 pages

ISSN:1063-6706

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IEEE Press

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Published: 01 April 2002

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Güven YKöklü AKumbasar T(2025)Exploring Zadeh's General Type-2 Fuzzy Logic Systems for Uncertainty QuantificationIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.342636333:1(314-324)Online publication date: 1-Jan-2025
https://dl.acm.org/doi/10.1109/TFUZZ.2024.3426363
Jeya Sutha MRamesh Dhanaseelan FFelix Nes Mabel MVijumon V(2024)T2FMJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23291846:2(3231-3244)Online publication date: 14-Feb-2024
https://dl.acm.org/doi/10.3233/JIFS-232918
Umoh UAsuquo DEyoh IMurugesan V(2024)A comparative analysis of prediction problems utilizing Interval type-2 fuzzy and machine learning modelsInternational Journal of Hybrid Intelligent Systems10.3233/HIS-24000820:4(301-316)Online publication date: 1-Jan-2024
https://dl.acm.org/doi/10.3233/HIS-240008
Rezaee B(2024)Analytical Expressions for Similarity Measure Between Gaussian Interval Type-2 Fuzzy Sets With Uncertain MeansIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.335517632:5(2603-2613)Online publication date: 18-Jan-2024
https://dl.acm.org/doi/10.1109/TFUZZ.2024.3355176
Fosci PPsaila G(2024)A unified view of multi-grade fuzzy-set models in J-CO-QL + Neurocomputing10.1016/j.neucom.2023.126968565:COnline publication date: 14-Jan-2024
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Chang QZhang ZWei FWang JPedrycz WPal N(2024)Adaptive Nonstationary Fuzzy Neural NetworkKnowledge-Based Systems10.1016/j.knosys.2024.111398288:COnline publication date: 15-Mar-2024
https://dl.acm.org/doi/10.1016/j.knosys.2024.111398
Zhang W(2024)A new defuzzification method and ranking method for type-2 fuzzy numbersInformation Sciences: an International Journal10.1016/j.ins.2024.121275682:COnline publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1016/j.ins.2024.121275
de Campos Souza PDragoni M(2024)IFNNInformation Sciences: an International Journal10.1016/j.ins.2024.121002678:COnline publication date: 1-Sep-2024
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Liu Z(2024)Characterizations for convolution lattices based on non-distributive latticesFuzzy Sets and Systems10.1016/j.fss.2024.109112497:COnline publication date: 1-Dec-2024
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Mashchenko S(2024)On a value of a matrix game with fuzzy sets of player strategiesFuzzy Sets and Systems10.1016/j.fss.2023.108798477:COnline publication date: 1-Feb-2024
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Interval Type-2 Fuzzy Logic Systems Made Simple

Fuzzy subsethood for fuzzy sets of type-2 and generalized type-n

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