Extension of TOPSIS method for group decision-making under triangular linguistic neutrosophic cubic sets

In this paper, we define the new concept of interval-valued triangular linguistic neutrosophic fuzzy set and operational laws. We discuss the IVTLNFWAA operator of IVTLNFS, and then the score function of IVTLNFS is introduced. We define the hamming distance of IVTLNFS. We define the triangular lingu...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Germany), 2021-03, Vol.25 (5), p.3359-3376
Main Authors: Aslam, Muhammad, Fahmi, Aliya, Almahdi, Fuad Ali Ahmed, Yaqoob, Naveed
Format: Article
Language:English
Subjects:
Artificial Intelligence
Computational Intelligence
Control
Engineering
Foundations
Mathematical Logic and Foundations
Mechatronics
Robotics
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Summary:In this paper, we define the new concept of interval-valued triangular linguistic neutrosophic fuzzy set and operational laws. We discuss the IVTLNFWAA operator of IVTLNFS, and then the score function of IVTLNFS is introduced. We define the hamming distance of IVTLNFS. We define the triangular linguistic neutrosophic cubic fuzzy number and operational laws. We also discuss the triangular linguistic neutrosophic cubic fuzzy number, such as the TLNCFWAA operator. We define the score function and accuracy of TLNCFNs. We also discuss the hamming distance of TLNCFNs. We discuss some basic properties of the proposed operator, including idempotency and commutativity. The new concept of the triangular linguistic neutrosophic cubic fuzzy TOPSIS method is introduced. Furthermore, we extend the MCDM method based on the triangular linguistic neutrosophic cubic fuzzy TOPSIS method. Finally, an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-020-05427-0