- Journal of New Results in Science
- Vol: 11 Issue: 2
- Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their appl...
Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems
Authors : Irfan Deli, Elif Özge Çelik
Pages : 162-181
Doi:10.54187/jnrs.1160127
View : 17 | Download : 6
Publication Date : 2022-08-31
Article Type : Research
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