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Weight for TOPSIS Method Combined with Intuitionistic Fuzzy Sets in Multi-criteria Decision Making

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Recent Advances in Soft Computing and Data Mining (SCDM 2022)

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Abstract

The vagueness and hesitancy from imprecise information in multi-criteria decision-making problems can be solved using an intuitionistic fuzzy environment. This paper presents a new TOPSIS method for ranking alternatives that is combined with intuitionistic fuzzy sets (IFS). Previous research suggests that the intuitionistic fuzzy weighted averaging (IFWA) operator was employed to combine judgments of all experts and also subjective evaluation to weight the criteria. In this paper, the role of IFWA operator is preserved while the criteria weights are obtained using the entropy measure of IFS. The distance between positive and negative ideal solutions is calculated using Euclidean distance. The alternatives’ ranking order is concluded, based on the obtained values of relative closeness coefficient. A numerical example and comparable results demonstrate the proposed approach's potential in decision-making problems.

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Acknowledgments

This research is supported by Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor. The authors also would like to express our sincere thanks to a research student, Mei Ling Hui for her assistance in computational procedures.

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Authors and Affiliations

  1. Modeling and Data Analytic Special Interest Group, Faculty of Ocean Engineering Technology, Universiti Malaysia Terengganu, 21030, Kuala Terengganu, Malaysia

    Lazim Abdullah

  2. Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450, Shah Alam, Malaysia

    Noor Azzah Awang

Authors
  1. Lazim Abdullah
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  2. Noor Azzah Awang
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Correspondence to Noor Azzah Awang .

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Editors and Affiliations

  1. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Rozaida Ghazali

  2. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Nazri Mohd Nawi

  3. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Mustafa Mat Deris

  4. School of Information Technology Faculty of Science, Engineering and Built Environment, Deakin University, Geelong, VIC, Australia

    Jemal H. Abawajy

  5. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Nureize Arbaiy

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Abdullah, L., Awang, N.A. (2022). Weight for TOPSIS Method Combined with Intuitionistic Fuzzy Sets in Multi-criteria Decision Making. In: Ghazali, R., Mohd Nawi, N., Deris, M.M., Abawajy, J.H., Arbaiy, N. (eds) Recent Advances in Soft Computing and Data Mining. SCDM 2022. Lecture Notes in Networks and Systems, vol 457. Springer, Cham. https://doi.org/10.1007/978-3-031-00828-3_20

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