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Distinctive representations of icosagonal fuzzy numbers along with novel defuzzification techniques for solving fuzzy assignment problems

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  • Jaya Bhadauria
  • Suneel Kumar
  • Deepak Kumar
  • Anita Kumari

Abstract

In this paper, we represent icosagonal fuzzy numbers in a variety of ways, both symmetrically and asymmetrically, linearly and nonlinearly as well as single valued and interval-valued. Along with this, we have also developed some defuzzification procedures with different approaches based on centroid method, the mean of alpha-cut method and bounded area method. In order to demonstrate the significance of these strategies, defuzzification approaches can be applied to many optimisation problems in operational research. We have applied these strategies to solve the numerical example based on fuzzy assignment problem in the interview board panel with 20 parameters. This study deals with the situation where icosagonal fuzzy numbers are used to represent ambiguous information in the form of linguistic terms. The ranking function for icosagonal number is also proposed in this paper for the better comparison of two icosagonal fuzzy numbers and its primary goal is used in this research for the appropriate allocation to resolve the fuzzy assignment problem.

Suggested Citation

  • Jaya Bhadauria & Suneel Kumar & Deepak Kumar & Anita Kumari, 2026. "Distinctive representations of icosagonal fuzzy numbers along with novel defuzzification techniques for solving fuzzy assignment problems," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 56(2), pages 237-268.
    • Handle: RePEc:ids:ijores:v:56:y:2026:i:2:p:237-268
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