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Decision-making using novel ranking of intuitionistic fuzzy numbers based on vectorial distance and spread

Author

Listed:
  • N. Muhammad Farhan Hakim Nik Badrul Alam
  • Ku Muhammad Naim Ku Khalif
  • Nor Izzati Jaini

Abstract

The intuitionistic fuzzy numbers (IFN) are powerful in handling the uncertainties in the decision-making world. In this research, a novel ranking function of the IFN based on the vectorial distances and spread of the membership and non-membership functions is proposed. The vectorial distance measures the separation of the IFN from the origin while the spread represents the horizontal slit of the IFN. As a validation, some empirical examples are used to illustrate the strength of the proposed ranking method. Some situations where the IFN having different heights and spreads for the membership and non-membership functions are considered to test the robustness of the ranking approach. Further, a decision-making model based on the proposed ranking method is developed, namely the intuitionistic weighted aggregated sum product assessment (IF-WASPAS). The preference of lecturers either to conduct online, hybrid or physical class was adopted to visualise the applicability of the proposed ranking function.

Suggested Citation

  • N. Muhammad Farhan Hakim Nik Badrul Alam & Ku Muhammad Naim Ku Khalif & Nor Izzati Jaini, 2025. "Decision-making using novel ranking of intuitionistic fuzzy numbers based on vectorial distance and spread," International Journal of Management and Decision Making, Inderscience Enterprises Ltd, vol. 24(3), pages 236-256.
    • Handle: RePEc:ids:ijmdma:v:24:y:2025:i:3:p:236-256
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