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

Authors : İrfan DELİ, Elif Özge ÇELİK

Pages : 162-181

Doi:10.54187/jnrs.1160127

View : 17 | Download : 15

Publication Date : 2022-08-31

Article Type : Research Paper

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