UAV system reliability evaluation with hesitancy in three distinct fuzzy sets

  • Shristi Kharola Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India.
  • Mangey Ram Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India.
  • Nupur Goyal Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India
  • Akshay Kumar Department of Mathematics, Graphic Era Hill University, Dehradun, Uttarakhand, India.

Abstract

Dealing with uncertainty in data is not a simple problem. In the literature, various sets in fuzzy theory are defined to detect minute or major differences in system performance. Based on this, the present study identifies and evaluates three distinct fuzzy sets, namely, intuitionistic fuzzy sets, hesitant fuzzy sets and dual hesitant fuzzy sets, each with its own triangular membership and non-membership functions. The work applies the concept of fuzzy reliability theory incorporating Weibull distribution to a UAV system for investigating the variations in the three methodologies’ achieved outcomes. The numerical and graphical illustrations explain the fuzzy reliability of the system in the form of membership functions that vary minutely with time. Ultimately, the study concludes that these fuzzy set extensions accommodate imprecise and uncertain conditions that are impractical and difficult to address in real life situations using conventional methods.

Published
2024-05-24