Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems

Year 2022, Volume: 11 Issue: 2, 162 - 181, 31.08.2022

İrfan Deli , Elif Özge Çelik

https://doi.org/10.54187/jnrs.1160127

Cited By: 2

https://izlik.org/JA58UR49KN

Abstract

As an extension of the trapezoidal fuzzy number, the generalised trapezoidal hesitant fuzzy number is an effective mathematical tool for handling uncertainty and vagueness in decision-making problems. Considering that the quasi-distance measure has a strong ability to process and analyse data, we initiated some novel quasi-distance measures to measure the strength of the relationship between generalised trapezoidal hesitant fuzzy numbers in this paper. Moreover, based on the proposed measures, a new multi-criteria decision-making approach is proposed to address uncertain real-life situations. Finally, a practical application of the proposed approach is also illustrated to demonstrate the effectiveness and applicability.

Keywords

Hesitant fuzzy set , Generalised trapezoidal hesitant fuzzy numbers , Quasi-distance measure , Multi-criteria decision-making

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