Ranking the Generalized Fuzzy Numbers Based on the Center of the Area

Subject Areas : International Journal of Decision Intelligence

Vahid Mohammadi ¹ , Esmaeil Mehdizadeh ² , Seyed Mojtaba Hejazi ³

1 - Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
2 - Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
3 - Department of Informatics Engineering, The International University of Valencia (VIU), Valencia, Spain

Received: 2023-10-28 Accepted : 2024-04-28 Published : 2024-09-22

Keywords: Generalized fuzzy numbers, Ranking fuzzy numbers, Center of area, Decision making, Uncertainty,

Abstract :

In decision-making contexts marked by uncertainty, the application of fuzzy numbers has emerged as a crucial tool. These numbers offer a mathematical framework for representing imprecise information, enabling a more nuanced approach to decision-making. Fuzzy numbers find widespread application in quantifying the inherent uncertainty present in decision-making contexts. When incorporating fuzzy numbers into decision-making procedures, the necessity to compare these fuzzy numbers becomes an unavoidable occurrence. Ranking fuzzy numbers is a challenging topic. In this paper, we propose a new method for ranking generalized fuzzy numbers based on the center of the area concept. First, we present the concepts of the presented method. Additionally, the proposed method can rank symmetric fuzzy numbers relative to the y-axis easily. Then the advantages of the proposed method are illustrated through several numerical examples. The results demonstrate that this approach is effective for ranking generalized fuzzy numbers and overcomes the shortcomings in recent studies. Finally, we checked the result of the presented method with other existing methods. The results show that the presented method has consistent results with less computational complexity.