A New Correlation Coefficient for T-Spherical Fuzzy Sets and Its Application in Multicriteria Decision-Making and Pattern Recognition
Ali, Wajid; Ali, Mehboob; Hussain, Israr; Sajid Ullah, Syed; Alroobaea, Roobaea; Hussain, Saddam; Binmahfoudh, Ahmed; Umar, Fazlullah
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3029288Utgivelsesdato
2022Metadata
Vis full innførselSamlinger
Originalversjon
Ali, W., Ali, M., Hussain, I., Sajid Ullah, S., Alroobaea, R., Hussain, S., Binmahfoudh, A. & Umar, F. (2022). A New Correlation Coefficient for T-Spherical Fuzzy Sets and Its Application in Multicriteria Decision-Making and Pattern Recognition. Journal of Sensors, 11. doi: 10.1155/2022/4471945Sammendrag
The goal of this paper is to design a new correlation coefficient for -spherical fuzzy sets (TSFSs), which can accurately measure the nature of correlation (i.e., positive and negative) as well as the degree of relationship between TSFS. In order to formulate our proposed idea, we had taken inspiration from the statistical concept of the correlation coefficient. While doing so, we firstly introduce the variance and covariance of two TSFS and then constructed our scheme using these two newly defined notions. The numerical value of our proposed correlation coefficient lies within the interval , as it should be from a statistical point of view, whereas the existing methods cannot measure the negative correlation between TSFS, as their numerical value falls within the interval , which is not reasonable both statistically and intuitively. This aspect has also been thoroughly demonstrated using some numerical examples. The comparison results witnessed the dominance and upper hand of our proposed method over the existing definitions, with reliable and better results. In order to demonstrate the feasibility, usefulness, and practical application, we applied our proposed scheme to solve technical and scientific problems of multicriteria decision-making and pattern recognition. The numerical results show that our proposed scheme is practically suitable, technically applicable, and intuitively reasonable.