# A new algorithm for identifying fuzzy measures and its application to pattern recognition

@article{Grabisch1995ANA, title={A new algorithm for identifying fuzzy measures and its application to pattern recognition}, author={Michel Grabisch}, journal={Proceedings of 1995 IEEE International Conference on Fuzzy Systems.}, year={1995}, volume={1}, pages={145-150 vol.1} }

We present a new algorithm for identifying fuzzy measures, which is a kind of gradient algorithm with constraints. Its performance is superior to the one of previous attempts, and we show its efficiency to a problem of pattern recognition using Choquet integral.<<ETX>>

## 233 Citations

New Pattern Recognition Tools Based on Fuzzy Logic for Image Understanding

- Computer Science
- 2000

It is shown that fuzzy integrals and fuzzy rules provide powerful tools for solving pattern recognition problems in image understanding and object recognition in particular.

The representation of importance and interaction of features by fuzzy measures

- Computer SciencePattern Recognit. Lett.
- 1996

An Algorithm Based on Alternative Projections for a Fuzzy Measure Identification Problem

- Computer Science
- 2003

The properties of the solution set of a fuzzy measure identification problem have been studied in detail and the efforts to develop an efficient algorithm to identify a fuzzy measures from examples have been made.

Fuzzy Integral for Classification and Feature Extraction

- Computer Science
- 2000

The use of fuzzy integral is described, which can be viewed as a information fusion model, embedded into the framework of fuzzy pattern matching, and the problem of feature extraction is addressed.

Constructing fuzzy measures: a new method and its application to cluster analysis

- Computer ScienceProceedings of North American Fuzzy Information Processing
- 1996

We first prove that for a given set of data there exists a fuzzy measure fitting exactly the data if and only if there exists an exact solution of the associated fuzzy relation equation. Secondly, we…

A Fast Iterative Algorithm for Identifying Feature Scales and Signed Fuzzy Measures in Generalized Choquet Integrals

- Computer ScienceThe 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05.
- 2005

An iterative algorithm for identifying approximate optimal scales for feature attributes of generalized Choquet integrals is developed and the optimal values of fuzzy measures are obtained immediately using least square method.

An algebraic method and a genetic algorithm to the identification of fuzzy measures based on Choquet integrals

- Computer ScienceJ. Intell. Fuzzy Syst.
- 2014

An algebraic method and a genetic algorithm to identify fuzzy measures based on the Choquet integral are introduced and some experimental results are presented on both artificial and real-world data sets to show their effectiveness.

Identification of fuzzy measures from sample data with genetic algorithms

- Computer ScienceComput. Oper. Res.
- 2006

Revised HLMS: A useful algorithm for fuzzy measure identification

- Computer ScienceInf. Fusion
- 2013

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