Ranking of linear Diophantine fuzzy numbers using circumcenter of centroids

Salma Iqbal; Naveed Yaqoob; Salma Iqbal; Naveed Yaqoob

doi:10.3934/math.2023497

AIMS Mathematics

2023, Volume 8, Issue 4: 9840-9861. doi: 10.3934/math.2023497

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Ranking of linear Diophantine fuzzy numbers using circumcenter of centroids

Salma Iqbal ,
Naveed Yaqoob ^,

Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan

Received: 20 December 2022 Revised: 03 February 2023 Accepted: 13 February 2023 Published: 22 February 2023
MSC : 03E72

This paper generically introduces a new notion of trapezoidal linear Diophantine fuzzy numbers in general (TrapLDFNs). We begin by introducing the concept of TrapLDFNs. Then, we propose a ranking method for TrapLDFNs relying on the circumcenter of centroids of TrapLDFN membership and non-membership functions.
- linear Diophantine fuzzy sets,
- linear Diophantine fuzzy numbers,
- linear Diophantine fuzzy equations
Citation: Salma Iqbal, Naveed Yaqoob. Ranking of linear Diophantine fuzzy numbers using circumcenter of centroids[J]. AIMS Mathematics, 2023, 8(4): 9840-9861. doi: 10.3934/math.2023497

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Abstract

This paper generically introduces a new notion of trapezoidal linear Diophantine fuzzy numbers in general (TrapLDFNs). We begin by introducing the concept of TrapLDFNs. Then, we propose a ranking method for TrapLDFNs relying on the circumcenter of centroids of TrapLDFN membership and non-membership functions.

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