An Improved Similarity-based Fuzzy Group Decision Making Model through Preference Transformation and K-Means Clustering Algorithm

Authors

  • Afiqah Sofiya Zaid School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia
  • Nor Hanimah Kamis ᵃSchool of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia; ᵇInstitute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaSchool of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia; bInstitute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaSchool of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia; bInstitute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Zahari Md Rodzi School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 70300 Seremban, Negeri Sembilan, Malaysia
  • Adem Kilicman ᵇInstitute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia; ᵈDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia
  • Norhidayah A Kadir School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia

DOI:

https://doi.org/10.11113/mjfas.v19n6.3100

Keywords:

Transformation of Preferences, Fuzzy Preference Relation, K-Means Clustering, Similarity of Opinion, Fuzzy Group Decision Making

Abstract

Group decision making plays a crucial role in organizational and community contexts, facilitating the exchange of expert opinions to arrive at effective decisions. The concept of preference, reflecting an individual's subjective evaluation of criteria or alternatives, forms a foundational element in this process. This study focuses on transforming non-fuzzy preferences, such as preference ordering and utility functions, into fuzzy preference relations (FPR) to address the uncertainty and uniformity inherent in expert preferences. To further enhance decision-making, we assess and visualize the similarity among the experts' uniform preferences. Integrating the K-means clustering algorithm into the fuzzy group decision making model allows for the predetermination of an appropriate number of groups based on the available alternatives. By aggregating individual preferences, we present a final ranking of alternatives. The enhanced methodology, as demonstrated through comparative analysis, showcases its ability to yield positive benefits when applied to decision-making applications.

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Published

04-12-2023