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

Authors: N. Muhammad Farhan Hakim Nik Badrul Alam; Ku Muhammad Naim Ku Khalif; Nor Izzati Jaini

Addresses: Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Gambang, Pahang, Malaysia; College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Pahang, Jengka, Pahang, Malaysia ' Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Gambang, Pahang, Malaysia; Centre of Excellence for Artificial Intelligence and Data Science, Universiti Malaysia Pahang Al-Sultan Abdullah, Gambang, Pahang, Malaysia ' Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Gambang, Pahang, Malaysia

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.

Keywords: decision-making; intuitionistic fuzzy numbers; IFN; ranking function; spread; vectorial distance.

DOI: 10.1504/IJMDM.2025.145915

International Journal of Management and Decision Making, 2025 Vol.24 No.3, pp.236 - 256

Received: 30 Nov 2023
Accepted: 20 Mar 2024
Published online: 30 Apr 2025 *

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