Defining Fuzzy Measures : A Comparative Study with Genetic and Gradient Descent Algorithms

@inproceedings{Alavi2007DefiningFM,
  title={Defining Fuzzy Measures : A Comparative Study with Genetic and Gradient Descent Algorithms},
  author={S. H. Alavi and J. Jassbi and Paulo J. A. Serra and Rita Almeida Ribeiro},
  year={2007}
}
Due to limitations of classical weighted average aggregation operators, there is an increase usage of fuzzy integrals, like the Sugeno and Choquet integrals, as alternative aggregation operators. However, their applicability has been threatened by the crux of determining the fuzzy measures in real problems. One way to determine these measures is by using learning data and optimizing the parameters. In this paper we made a comparative study of two well known optimization algorithms, Genetic… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 17 references

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

  • M Grabisch
  • In Proceedings of the
  • 1995
Highly Influential
12 Excerpts

Fuzzy thermal alarm system for venus express

  • P Serra, RA Ribeiro, R Marques-Pereira, R Steel, M Niezette, A Donati
  • In Encyclopedia of Decision Making and Decision…
  • 2007
Highly Influential
5 Excerpts

Uncertain rule-based fuzzy inference systems: Introduction and new directions

  • JM Mendel
  • 2001
Highly Influential
4 Excerpts

Fuzzy measures and fuzzy integrals

  • T Murofushi, M Sugeno
  • In Fuzzy Measures and Integrals: Theory and…
  • 2000
Highly Influential
8 Excerpts

A theory of fuzzy measures. Representation, the Choquet integral and null sets

  • T Murofushi, M Sugeno
  • In J. Math. Anal. Appl
  • 1991
Highly Influential
7 Excerpts

An interpretation of fuzzy measure and the Choquet integral as an integral with respect to a fuzzy measure

  • T Murofushi, M Sugeno
  • In Fuzzy Sets and Systems
  • 1989
Highly Influential
7 Excerpts

Fundamentals on aggregation operators

  • M Detyniecki
  • In Proceedings AGOP’
  • 2001
3 Excerpts

Identification of λ-fuzzy measures using sampling design and genetic algorithms

  • T Chen, J Wang
  • In Fuzzy Sets and Systems
  • 2001
1 Excerpt

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