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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P512

Choquet Integral Compared With Weighted Mean In Decision Making


K.Ranjani, L.Vijayalakshmi
Abstract

Weighted mean is most popular method. The Choquet integral is too tough to apply in practice. In this paper, we investigate the decision making problem using the Choquet integral compare with weighted mean. Also, we discuss the accuracy of the proposed method.

Keywords
Fuzzy Set, Fuzzy Measure, Choquet Integral.
References

[1] M.Grabisch , “Fuzzy integral in multicriteria decision making “, Fuzzy sets and systems, 69, 1995, PP.269-278.
[2] Narukawa, Y., Torra, V. (2005) Fuzzy measure and probability distributions: distorted probabilities, IEEE Trans. on Fuzzy Systems, 13:5 617-629
[3] Sergey Sakulin and Alexander Alfimtsev, “Problems of Choquet Integral Practical Applications”, Indonesian Journal of Electrical Engineering and Informatics, Vol. 1, No 2, pp. 43-48.
[4] M.Sugeno : “Theory of fuzzy integrals and its applications” . PhD thesis, Tokyo Institute of Technology, 1974.
[5] V.Torra, “The weighted OWA operator” , Int. J of Intel System, 12, 153-166, 1997.
[6] LotfiA.Zadeh in 1965 “Fuzzy sets and systems”, Information and Control, Vol. 8,pp. 338-353.
[7] M.E.Zuanon, “Choquet utility from distorted probabilities “, International Mathematical Forum, 3, 2008, no.2, 93-98.

Citation :

K.Ranjani, L.Vijayalakshmi, "Choquet Integral Compared With Weighted Mean In Decision Making," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 85-89, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P512

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