Affiliations: [a]
Department of Mathematics, Hazara University Mansehra, Pakistan
| [b]
Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan
| [c]
Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia
| [d]
Department of Information Technology, Hazara University Mansehra, Pakistan
Correspondence:
[*]
Corresponding author. A. Fahmi, Department of Mathematics, Hazara University Mansehra, Pakistan. aliyafahmi@hu.edu.pk.
Abstract: This paper presents a new concept of trapezoidal cubic fuzzy numbers and solves the plant location selection (PLS) problem based on a new decision method with cubic fuzzy information captured through trapezoidal cubic fuzzy numbers. In the decision process, the unknown weights of the criteria are unearthed by using the Shannon entropy theory and the weights of the decision makers by integrating the Evidence theory with Bayes approximation. Based on trapezoidal cubic fuzzy numbers, we extend the classical VIKOR method to solve the MAGDM problems under cubic fuzzy environment based on the TrCFNs on proposed method.
Keywords: The definition and arithmetical operations of trapezoidal cubic fuzzy numbers, A MAGDM approach based on an extended VIKOR method using trapezoidal cubic fuzzy numbers, The extended VIKOR method using trapezoidal cubic fuzzy numbers, plant location selection, shannon entropy
