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On fractional continuous weighted OWA (FCWOWA) operator with applications

Author

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  • Hamzeh Agahi

    (Babol Noshirvani University of Technology)

Abstract

In order statistics, CWOWA operator in real line based on Choquet integral was recently introduced by Narukawa et al. (Ann Oper Res 244(2):571–581, 2016). Recently, the relation of Choquet integral with fractional integral on a continuous support was recently discussed by Sugeno (IEEE Trans Fuzzy Syst 23:1439–1457, 2015). As an open problem, Sugeno emphasized that “it is necessary to consider fractional Choquet integral with respect to any monotone measures”. This reason permit us to consider this problem and introduce the fractional Choquet integral with respect to any monotone measures. We also introduce the fractional CWOWA operator (FCWOWA) which includes CWOWA and WOWA operators as special cases. As an application, we also present some important inequalities for FCWOWA operator.

Suggested Citation

  • Hamzeh Agahi, 2020. "On fractional continuous weighted OWA (FCWOWA) operator with applications," Annals of Operations Research, Springer, vol. 287(1), pages 1-10, April.
    • Handle: RePEc:spr:annopr:v:287:y:2020:i:1:d:10.1007_s10479-019-03450-5
    DOI: 10.1007/s10479-019-03450-5
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    References listed on IDEAS

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    1. Michel Grabisch & Christophe Labreuche, 2010. "A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid," Annals of Operations Research, Springer, vol. 175(1), pages 247-286, March.
    2. repec:hal:pseose:hal-01373325 is not listed on IDEAS
    3. Mustapha Ridaoui & Michel Grabisch, 2016. "Choquet integral calculus on a continuous support and its applications," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(1), pages 73-93.
    4. repec:hal:pseose:halshs-01411987 is not listed on IDEAS
    5. Yasuo Narukawa & Vicenç Torra & Michio Sugeno, 2016. "Choquet integral with respect to a symmetric fuzzy measure of a function on the real line," Annals of Operations Research, Springer, vol. 244(2), pages 571-581, September.
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    Cited by:

    1. LeSheng Jin & Radko Mesiar & Martin Kalina & Ronald R. Yager, 2020. "Canonical form of ordered weighted averaging operators," Annals of Operations Research, Springer, vol. 295(2), pages 605-631, December.
    2. Negi, Shekhar Singh & Torra, Vicenç, 2024. "A note on Sugeno exponential function with respect to distortion," Applied Mathematics and Computation, Elsevier, vol. 470(C).

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