[Home ] [Archive]   [ فارسی ]  
:: Main :: About :: Current Issue :: Archive :: Search :: Submit :: Contact ::
:: Volume 26, Issue 2 (3-2022) ::
Andishe 2022, 26(2): 81-87 Back to browse issues page
Jointly dependent fuzzy random variables
Benita Doalt Zadeh, Ayyub Sheikhi *, Mashallah Mashinchi, Alireza Arabpour
Shahid Bahonar University of Kerman
Abstract:   (417 Views)

In this paper, we study the fuzzy random variable and its cumulative distribution function and express the combined fuzzy

random variable and their cumulative distribution function. Then, we express the concept of copula and its application in the construction of jointly cumulative distribution function and the application of copula is expressed in the construction of a jointly cumulative distribution function for two fuzzy random variables. Finally, to better understand, an example is presented.

Keywords: Fuzzy random variables, α-cut, α-pessimistic, Variability function, Fuzzy cumulative distribution function, Combined fuzzy random variable, Fuzzy jointly cumulative distribution function, Copula.
Full-Text [PDF 223 kb]   (187 Downloads)    
Type of Study: Research | Subject: Special
Received: 2022/01/27 | Accepted: 2022/03/30 | Published: 2022/09/8
References
1. پرچمی، عباس ( ١٣٩٨ ). متغیر تصادفی فازی LR سیستم های فازی و کاربردها، سال دوم، شماره ١، بهار و تابستان ١٣٩٨ ، صص 89-107
2. ه ( ١٣٨٧ ). مقدمه ای بر احتمال و آمار فازی، دانشگاه شهید باهنر کرمان، چاپ اول.  ٢] طاهری، محمود. ماشین چی، ماشاال ]
3. ه ( ١٣٧٩ ). مجموعه های مشکک، دانشگاه شهید باهنر کرمان، چاپ اول، تابستان ١٣٧٩  ٣] ماشین چی، ماشاال ]
4. ه ( ١۴٠٠ ). نخستین درس در نظریه مجموعه های فازی، دانشگاه شهید باهنر کرمان.  ۴] موسوی، سیدعلی. ماشین چی، ماشاال ]
5. [5] Berkachy, R., Donze, L. (2019). Fuzzy Confidence Interval Estimation by Likelihood Ratio, 11th Conference of the European Society for Fuzzy Logic and Technology, Atlantis Studies in Uncertainty Modelling, Volume 1, http://creativecommons.org/licenses/by-nc/4.0/.
6. [6] Hesamian, G., Chachi, J. (2015). Two-sample Kolmogorov-Smirnov fuzzy test for fuzzy random variables, Stat, 56, 61-82. [DOI:10.1007/s00362-013-0566-2]
7. [7] Liu, B. (2013). Uncertainty theory, 4th edn, Springer, Berlin.
8. [8] Nelsen, R. B. (2006). An introduction to copulas, Springer, New York.
9. [9] Nguyen, H. T., and Walker, E. A. (2005). A First Course in Fuzzy Logic, Chapman & Hall, Springer, Berlin Heidelberg, NewYork. [DOI:10.1201/9781420057102]
10. [10] Peng, J., and Liu, B. (2004). Some properties of optimistic and pessimistic values of fuzzy, International Conference on Fuzzy Systems, Budapest, Hungary (25-29 July 2004), 2, 745-750.
11. [11] Ranjbar, V., and Hesamian, G. (2017). Copula function for fuzzy random variables: applications in measuring association between two fuzzy random variables, Statistical Papers (Stat Papers), Springer-Verlag GmbH, Germany. [DOI:10.1007/s00362-017-0944-2]
12. [12] Sklar, M. (1959). Fonctions de répartition à n dimensions et leurs marges, Université Paris 8, Saint-Denis.
Add your comments about this article
Your username or Email:

CAPTCHA


XML   Persian Abstract   Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Doalt Zadeh B, Sheikhi A, Mashinchi M, Arabpour A. Jointly dependent fuzzy random variables. Andishe 2022; 26 (2) :81-87
URL: http://andisheyeamari.irstat.ir/article-1-881-en.html


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 26, Issue 2 (3-2022) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
Persian site map - English site map - Created in 0.04 seconds with 30 queries by YEKTAWEB 4540