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- Jerry M. Mendel, Robert Ivor John
- IEEE Trans. Fuzzy Systems
- 2002

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. Inâ€¦ (More)

- Li-Xin Wang, Jerry M. Mendel
- IEEE Trans. Systems, Man, and Cybernetics
- 1992

A general method is developed to generate fuzzy rules from numerical data. This new method consists of five steps: Step 1 divides the input and output spaces of the given numerical data into fuzzyâ€¦ (More)

- Nilesh N. Karnik, Jerry M. Mendel, Qilian Liang
- IEEE Trans. Fuzzy Systems
- 1999

We introduce a type-2 fuzzy logic system (FLS), which can handle rule uncertainties. The implementation of this type-2 FLS involves the operations of fuzzification, inference, and output processing.â€¦ (More)

- Qilian Liang, Jerry M. Mendel
- IEEE Trans. Fuzzy Systems
- 2000

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 forâ€¦ (More)

- Jerry M. Mendel, Robert Ivor John, Feilong Liu
- IEEE Transactions on Fuzzy Systems
- 2006

To date, because of the computational complexity of using a general type-2 fuzzy set (T2 FS) in a T2 fuzzy logic system (FLS), most people only use an interval T2 FS, the result being an interval T2â€¦ (More)

- Nilesh N. Karnik, Jerry M. Mendel
- Inf. Sci.
- 2001

- Li-Xin Wang, Jerry M. Mendel
- IEEE Trans. Neural Networks
- 1992

Fuzzy systems are represented as series expansions of fuzzy basis functions which are algebraic superpositions of fuzzy membership functions. Using the Stone-Weierstrass theorem, it is proved thatâ€¦ (More)

- Nilesh N. Karnik, Jerry M. Mendel
- Fuzzy Sets and Systems
- 2001

In this paper, we discuss set operations on type-2 fuzzy sets (including join and meet under minimum=product t-norm), algebraic operations, properties of membership grades of type-2 sets, and type-2â€¦ (More)

- Hongwei Wu, Jerry M. Mendel
- FUZZ-IEEE
- 2001

In this paper, we derive innerand 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 Karnikâ€“Mendel iterativeâ€¦ (More)

- Jerry M. Mendel
- Inf. Sci.
- 2007

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. Interest in type-2â€¦ (More)