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

İrfan Deli; Elif Özge Çelik

doi:10.54187/jnrs.1160127

EN

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

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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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

İrfan Deli ^*
0000-0003-1875-1067
Türkiye

Elif Özge Çelik
0000-0001-9109-154X
Türkiye

Publication Date

August 31, 2022

Submission Date

August 11, 2022

Acceptance Date

August 28, 2022

Published in Issue

Year 2022 Volume: 11 Number: 2

DOI

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

IZ

https://izlik.org/JA58UR49KN

APA

Deli, İ., & Çelik, E. Ö. (2022). Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems. Journal of New Results in Science, 11(2), 162-181. https://doi.org/10.54187/jnrs.1160127

AMA

1.Deli İ, Çelik EÖ. Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems. JNRS. 2022;11(2):162-181. doi:10.54187/jnrs.1160127

Chicago

Deli, İrfan, and Elif Özge Çelik. 2022. “Not-Ordered Quasi-Distance Measures of Generalised Trapezoidal Hesitant Fuzzy Numbers and Their Application to Decision Making Problems”. Journal of New Results in Science 11 (2): 162-81. https://doi.org/10.54187/jnrs.1160127.

EndNote

Deli İ, Çelik EÖ (August 1, 2022) Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems. Journal of New Results in Science 11 2 162–181.

IEEE

[1]İ. Deli and E. Ö. Çelik, “Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems”, JNRS, vol. 11, no. 2, pp. 162–181, Aug. 2022, doi: 10.54187/jnrs.1160127.

ISNAD

Deli, İrfan - Çelik, Elif Özge. “Not-Ordered Quasi-Distance Measures of Generalised Trapezoidal Hesitant Fuzzy Numbers and Their Application to Decision Making Problems”. Journal of New Results in Science 11/2 (August 1, 2022): 162-181. https://doi.org/10.54187/jnrs.1160127.

JAMA

1.Deli İ, Çelik EÖ. Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems. JNRS. 2022;11:162–181.

MLA

Deli, İrfan, and Elif Özge Çelik. “Not-Ordered Quasi-Distance Measures of Generalised Trapezoidal Hesitant Fuzzy Numbers and Their Application to Decision Making Problems”. Journal of New Results in Science, vol. 11, no. 2, Aug. 2022, pp. 162-81, doi:10.54187/jnrs.1160127.

Vancouver

1.İrfan Deli, Elif Özge Çelik. Not-ordered quasi-distance measures of generalised trapezoidal hesitant fuzzy numbers and their application to decision making problems. JNRS. 2022 Aug. 1;11(2):162-81. doi:10.54187/jnrs.1160127