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On the Lower Limit for Possibilistic Correlation Coefficient with Identical Marginal Possibility Distributions

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Interactions Between Computational Intelligence and Mathematics Part 2

Part of the book series: Studies in Computational Intelligence ((SCI,volume 794))

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Abstract

In 2011 Fullér et al. [An improved index of interactivity for fuzzy numbers, Fuzzy Sets and Systems, 165 (2011), pp. 50–60] introduced a new measure of interactivity between fuzzy numbers (interpreted as possibility distributions), called the weighted possibilistic correlation coefficient, which can be determined from their joint possibility distribution. They also left two questions open regarding the lower limit of the weighted possibilistic correlation coefficient of marginal possibility distribution with the same membership function. In this paper we will answer these questions not only in the case of fuzzy numbers, but also for quasi fuzzy numbers.

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References

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Acknowledgements

The authors are grateful to Prof. László Szeidl of Institute of Applied Mathematics, Óbuda University, Hungary for his helpful comments on probabilistic correlation.

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Authors and Affiliations

  1. Department of Mathematics and Computational Sciences, Széchenyi István University, Győr, Hungary

    István Á. Harmati

  2. Department of Informatics, Széchenyi István University, Győr, Hungary

    Robert Fullér

Authors
  1. István Á. Harmati
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  2. Robert Fullér
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Corresponding author

Correspondence to István Á. Harmati .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Széchenyi István University, Győr, Hungary

    László T. Kóczy

  2. Department of Mathematics, Faculty of Science, University of Cádiz, Cádiz, Spain

    Jesús Medina-Moreno

  3. Department of Mathematics, Faculty of Economic and Business Sciences, University of Cádiz, Cádiz, Spain

    Eloísa Ramírez-Poussa

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Harmati, I.Á., Fullér, R. (2019). On the Lower Limit for Possibilistic Correlation Coefficient with Identical Marginal Possibility Distributions. In: Kóczy, L., Medina-Moreno, J., Ramírez-Poussa, E. (eds) Interactions Between Computational Intelligence and Mathematics Part 2. Studies in Computational Intelligence, vol 794. Springer, Cham. https://doi.org/10.1007/978-3-030-01632-6_7

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