On the lower limit for possibilistic correlation coefficient with identical marginal possibility distributions

István Harmati, R. Fullér

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

LanguageEnglish
Title of host publicationStudies in Computational Intelligence
PublisherSpringer Verlag
Pages99-113
Number of pages15
DOIs
Publication statusPublished - Jan 1 2019

Publication series

NameStudies in Computational Intelligence
Volume794
ISSN (Print)1860-949X

Fingerprint

Fuzzy systems
Membership functions
Fuzzy sets

Keywords

  • Correlation coefficient
  • Fuzzy numbers
  • Possibilistic correlation
  • Possibility distribution
  • Possibility theory
  • Quasi fuzzy numbers

ASJC Scopus subject areas

  • Artificial Intelligence

Cite this

Harmati, I., & Fullér, R. (2019). On the lower limit for possibilistic correlation coefficient with identical marginal possibility distributions. In Studies in Computational Intelligence (pp. 99-113). (Studies in Computational Intelligence; Vol. 794). Springer Verlag. https://doi.org/10.1007/978-3-030-01632-6_7

On the lower limit for possibilistic correlation coefficient with identical marginal possibility distributions. / Harmati, István; Fullér, R.

Studies in Computational Intelligence. Springer Verlag, 2019. p. 99-113 (Studies in Computational Intelligence; Vol. 794).

Research output: Chapter in Book/Report/Conference proceedingChapter

Harmati, I & Fullér, R 2019, On the lower limit for possibilistic correlation coefficient with identical marginal possibility distributions. in Studies in Computational Intelligence. Studies in Computational Intelligence, vol. 794, Springer Verlag, pp. 99-113. https://doi.org/10.1007/978-3-030-01632-6_7
Harmati I, Fullér R. On the lower limit for possibilistic correlation coefficient with identical marginal possibility distributions. In Studies in Computational Intelligence. Springer Verlag. 2019. p. 99-113. (Studies in Computational Intelligence). https://doi.org/10.1007/978-3-030-01632-6_7
Harmati, István ; Fullér, R. / On the lower limit for possibilistic correlation coefficient with identical marginal possibility distributions. Studies in Computational Intelligence. Springer Verlag, 2019. pp. 99-113 (Studies in Computational Intelligence).
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