Journal ArticleDOI
Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
Hongwei Wu,Jerry M. Mendel +1 more
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This work derives inner- and outer-bound sets for the type-reduced set of an interval type-2 fuzzy logic system (FLS), based on a new mathematical interpretation of the Karnik-Mendel iterative procedure for computing thetype-reducing set, and demonstrates that the resulting system can operate without type- Reduction and can achieve similar performance to one that uses type- reduction.Abstract:
We derive inner- and outer-bound sets for the type-reduced set of an interval type-2 fuzzy logic system (FLS), based on a new mathematical interpretation of the Karnik-Mendel iterative procedure for computing the type-reduced set. The bound sets can not only provide estimates about the uncertainty contained in the output of an interval type-2 FLS, but can also be used to design an interval type-2 FLS. We demonstrate, by means of a simulation experiment, that the resulting system can operate without type-reduction and can achieve similar performance to one that uses type-reduction. Therefore, our new design method, based on the bound sets, can relieve the computation burden of an interval type-2 FLS during its operation, which makes an interval type-2 FLS useful for real-time applications.read more
Citations
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A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots
TL;DR: A novel reactive control architecture for autonomous mobile robots that is based ontype-2 FLC to implement the basic navigation behaviors and the coordination between these behaviors to produce a type-2 hierarchical FLC is presented.
Journal ArticleDOI
Type-2 fuzzy sets and systems: an overview
TL;DR: This paper provides an introduction to and an overview of type-2 fuzzy sets (T2 FS) and systems by answering the following questions: What is a T2 FS and how is it different from a T1 FS.
Journal ArticleDOI
A bibliometric analysis
TL;DR: This corpus of literature is analyzed by using the co-word bibliometric methodology to assess the state- of-the-art in this research area and suggest suggestions for future research.
Journal ArticleDOI
Advances in type-2 fuzzy sets and systems
TL;DR: In this state-of-the-art paper, important advances that have been made during the past five years for both general and interval type-2 fuzzy sets and systems are described.
Journal ArticleDOI
Enhanced Karnik--Mendel Algorithms
Dongrui Wu,Jerry M. Mendel +1 more
TL;DR: Methods to reduce their computational cost are proposed in this paper and, on average, the enhanced KM algorithms can save about two iterations, which corresponds to more than a 39% reduction in computation time.
References
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Book
Elements of information theory
Thomas M. Cover,Joy A. Thomas +1 more
TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Book
Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions
TL;DR: This chapter discusses Type-2 Fuzzy Sets, a New Direction for FLSs, and Relations and Compositions on different Product Spaces on Different Product Spaces, as well as operations on and Properties of Type-1 Non-Singleton Type- 2 FuzzY Sets.
Journal ArticleDOI
Interval type-2 fuzzy logic systems: theory and design
Qilian Liang,Jerry M. Mendel +1 more
TL;DR: 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 is proposed.