Approaches to Multi-Attribute Group Decision-Making Based on Trapezoidal Linguistic Uncertain Cubic Fuzzy TOPSIS Method

Aliya Fahmi, Fazli Amin (), Saleem Abdullah () and Asad Ali ()
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Aliya Fahmi: Department of Mathematics, Hazara University Mansehra, Pakistan
Fazli Amin: Department of Mathematics, Hazara University Mansehra, Pakistan
Saleem Abdullah: Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan
Asad Ali: Department of Mathematics, Hazara University Mansehra, Pakistan

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 02, 261-282

Abstract: In this paper, we describe the new idea of trapezoidal linguistic uncertain cubic fuzzy number. We discuss some basic operational laws of trapezoidal linguistic uncertain cubic fuzzy number and hamming distance of TrLUCFNs. We introduce the new concept of trapezoidal linguistic uncertain cubic fuzzy TOPSIS method. Furthermore, we extend the classical trapezoidal linguistic uncertain cubic fuzzy TOPSIS method to solve the MCDM method based on trapezoidal linguistic uncertain cubic fuzzy TOPSIS method. The new ranking method for TrLUCFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and prove the practicality and effectiveness of the proposed method.

Keywords: Trapezoidal linguistic uncertain cubic fuzzy number; trapezoidal linguistic uncertain cubic fuzzy TOPSIS method; MCDM; numerical application (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S1793005719500145

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