Cardinal, Median Value, Variance and Covariance of Exponential Fuzzy Numbers with Shape Function and its Applications in Ranking Fuzzy Numbers
- https://doi.org/10.1080/18756891.2016.1144150How to use a DOI?
- Covariance, Exponential Fuzzy Numbers, Mathematical expectation, Possibilistic Mean Value, Ranking Fuzzy Number, Variance
In this paper, the researcher proposed a method to cardinal, median value, variance and covariance of exponential fuzzy numbers with shape function . The covariance used in this method is obtained from the exponential trapezoidal fuzzy number, first by finding mathematical expectation and then calculating the variance of each exponential fuzzy numbers by E(A), E2(A) and then finding the possibilistic covariance between fuzzy numbers A and B. We are going to utilize Dubois and another researcher dominance possibility and necessity indices, within a exponential fuzzy numbers with shape function and its applications, in the case of measure of possibilistic correlation between fuzzy numbers A and B by their ranking possibility of their interaction compared to their possibilistic fuzzy number. Finally, we proposed a new method for ranking exponential fuzzy numbers with possibilistic variance between fuzzy numbers A and B. This approach helps avoiding any approximation that may exist due to incorrect comparing between fuzzy numbers and can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques and also the proposed approach is very simple and easy to apply in the real life problems. For the validation, the results of the proposed approach are compared with different existing approaches.
- © 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Cite this article
TY - JOUR AU - S. Rezvani PY - 2016 DA - 2016/01 TI - Cardinal, Median Value, Variance and Covariance of Exponential Fuzzy Numbers with Shape Function and its Applications in Ranking Fuzzy Numbers JO - International Journal of Computational Intelligence Systems SP - 10 EP - 24 VL - 9 IS - 1 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2016.1144150 DO - https://doi.org/10.1080/18756891.2016.1144150 ID - Rezvani2016 ER -