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- Dongrui Wu, Jerry M. Mendel
- IEEE Trans. Fuzzy Systems
- 2009

The Karnik–Mendel (KM) algorithms are iterative procedures widely used in fuzzy logic theory. They are known to converge monotonically and superexponentially fast; however, several (usually two to six) iterations are still needed before convergence occurs. Methods to reduce their computational cost are proposed in this paper. Extensive simulations show… (More)

- Dongrui Wu, Jerry M. Mendel
- Inf. Sci.
- 2009

Ranking methods, similarity measures and uncertainty measures are very important concepts for interval type-2 fuzzy sets (IT2 FSs). So far, there is only one ranking method for such sets, whereas there are many similarity and uncertainty measures. A new ranking method and a new similarity measure for IT2 FSs are proposed in this paper. All these ranking… (More)

- Dongrui Wu, Jerry M. Mendel
- IEEE Trans. Fuzzy Systems
- 2007

In the previous paper, we have proposed linguistic weighted average (LWA) algorithms that can be used in distributed and hierarchical decision making. The original LWA algorithms were completely based on the representation theorem for interval type-2 fuzzy sets (IT2 FSs). In later usage, we found that when the lower membership functions (LMFs) of the inputs… (More)

- Dongrui Wu, Jerry M. Mendel
- Inf. Sci.
- 2007

Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewness are all measures of uncertainties. The centroid of an IT2 FS has been defined by Karnik and Mendel. In this paper, the other four concepts are defined. All definitions use a… (More)

- Dongrui Wu, Jerry M. Mendel
- Inf. Sci.
- 2008

Fuzzy logic is frequently used in computing with words (CWW). When input words to a CWW engine are modeled by interval type-2 fuzzy sets (IT2 FSs), the CWW engine’s output can also be an IT2 FS, e A, which needs to be mapped to a linguistic label so that it can be understood. Because each linguistic label is represented by an IT2 FS e Bi, there is a need to… (More)

- Dongrui Wu, Jerry M. Mendel, Simon Coupland
- IEEE Trans. Fuzzy Systems
- 2012

Construction of interval type-2 fuzzy set models is the first step in the Perceptual Computer, an implementation of Computing with Words. The Interval Approach (IA) has been so far the only systematic method to construct such models from data intervals collected from a survey. However, as pointed out in this paper, it has some limitations, and its… (More)

- Dongrui Wu, Maowen Nie
- FUZZ-IEEE
- 2011

- Dongrui Wu, J.M. Mendel
- NAFIPS 2007 - 2007 Annual Meeting of the North…
- 2007

The Karnik-Mendel (KM) algorithms are iterative procedures widely used in fuzzy logic theory. They are known to converge monotonically and super-exponentially fast; however, several (usually two to six) iterations are still needed before convergence occurs. Methods to reduce their computational cost are proposed in this paper. Extensive simulations show… (More)

- Simon Coupland, Jerry M. Mendel, Dongrui Wu
- FUZZ-IEEE
- 2010

- Dongrui Wu, Woei Wan Tan
- FUZZ-IEEE
- 2004

This paper focuses on evolving type-2 fuzzy logic controllers (FLCs) genetically and examining whether they are better able to handle modelling uncertainties. The study is conducted by utilizing a type-2 FLC, evolved by a genetic algorithm (GA), to control a liquid-level process. A two stage strategy is employed to design the type-2 FLC. First, the… (More)