Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach

Murat Kirisci

doi:10.32323/ujma.1379260

EN

Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach

Abstract

The definition of Fermatean fuzzy soft sets and some of its features are introduced in this study. A Fermatean fuzzy soft set is a parameterized family of Fermatean fuzzy sets and a generalization of intuitionistic and Pythagorean fuzzy soft sets. This paper presents a definition of the Fermatean fuzzy soft entropy. Also acquired are the formulae for standard distance measures such as Hamming and Euclidean distance. Other formulas have also been proposed for calculating the entropy and distance measurements of FFSSs. Even if the entropy and distance measures are defined for other set extensions, they cannot be applied directly to Fermatean fuzzy soft sets. It can be used to determine the uncertainty associated with a Fermatean fuzzy soft set, discover similarities between any two Fermatean fuzzy soft sets using the proposed distance measures, and compare it to other existing structures in the literature. Fermatean fuzzy soft set applications in decision-making and pattern recognition difficulties are also examined. Finally, comparison studies with other known equations are performed.

Keywords

Decision-making, Entropy, Fermatean fuzzy soft set, Missile position estimation

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Details

Primary Language

English

Subjects

Numerical and Computational Mathematics (Other)

Journal Section

Research Article

Authors

Murat Kirisci ^*
0000-0003-4938-5207
Türkiye

Early Pub Date

January 16, 2024

Publication Date

March 18, 2024

Submission Date

October 21, 2023

Acceptance Date

January 9, 2024

Published in Issue

Year 2024 Volume: 7 Number: 1

DOI

https://doi.org/10.32323/ujma.1379260

IZ

https://izlik.org/JA32RR59ES

APA

Kirisci, M. (2024). Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach. Universal Journal of Mathematics and Applications, 7(1), 12-29. https://doi.org/10.32323/ujma.1379260

AMA

1.Kirisci M. Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach. Univ. J. Math. Appl. 2024;7(1):12-29. doi:10.32323/ujma.1379260

Chicago

Kirisci, Murat. 2024. “Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach”. Universal Journal of Mathematics and Applications 7 (1): 12-29. https://doi.org/10.32323/ujma.1379260.

EndNote

Kirisci M (March 1, 2024) Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach. Universal Journal of Mathematics and Applications 7 1 12–29.

IEEE

[1]M. Kirisci, “Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach”, Univ. J. Math. Appl., vol. 7, no. 1, pp. 12–29, Mar. 2024, doi: 10.32323/ujma.1379260.

ISNAD

Kirisci, Murat. “Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach”. Universal Journal of Mathematics and Applications 7/1 (March 1, 2024): 12-29. https://doi.org/10.32323/ujma.1379260.

JAMA

1.Kirisci M. Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach. Univ. J. Math. Appl. 2024;7:12–29.

MLA

Kirisci, Murat. “Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach”. Universal Journal of Mathematics and Applications, vol. 7, no. 1, Mar. 2024, pp. 12-29, doi:10.32323/ujma.1379260.

Vancouver

1.Murat Kirisci. Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach. Univ. J. Math. Appl. 2024 Mar. 1;7(1):12-29. doi:10.32323/ujma.1379260

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Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach

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Measures of Distance and Entropy Based on the Fermatean Fuzzy-Type Soft Sets Approach

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References

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Cited By

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