Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems

Article type: Research Article

Authors: Fahmi, Aliya^{a; *} | Abdullah, Saleem^b | Amin, Fazli^a | Siddiqui, Nasir^c | Ali, Asad^a

Affiliations: [a] Department of Mathematics, Hazara University, Mansehra, KPK, Pakistan | [b] Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan | [c] Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan

Correspondence: [*] Corresponding author. Aliya Fahmi, Department of Mathematics, Hazara University, Mansehra, KPK, Pakistan. E-mail: aliyafahmi@hu.edu.pk.

Abstract: In this paper, we introduce the concept of triangular cubic fuzzy numbers. We discuss some basic operational laws of triangular cubic fuzzy numbers and then develop triangular cubic fuzzy weighted average (TCFWA) operator. We also define crisp weighted possibility means of TCFNs and hamming distance between TCFNs. Furthermore, we extend the classical VIKOR method to solve the MCDM method based on triangular cubic fuzzy numbers. The new ranking method for TCFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.

Keywords: The crisp weighted possibility means of TCFNs, weighted average operator of TCFNs, hamming distance for TCFNs, A MCDM method, VIKOR method using TCFNS

DOI: 10.3233/JIFS-162007

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3323-3337, 2017