Research Article

A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators

Volume: 37 Number: 1 March 1, 2024
EN

A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators

Abstract

Generalized spherical fuzzy set theory is a powerful and useful tool that is capable to process uncertainty and vagueness. In this study, we investigate some induced aggregation operators under the generalized spherical fuzzy environment with the help of Einstein norms operations to merge the generalized spherical fuzzy information into a single one in the decision-making process. After we observe some properties of the presented aggregation operators, we establish an algorithm to use in the solution of the multiple criteria group decision-making problems by using these aggregation operators and also we give an illustrative example. Then, we compare the results under all defined generalized spherical fuzzy Einstein aggregation operators used within the decision-making process.

Keywords

References

  1. [1] Zadeh, L. A., “Fuzzy sets”, Information and Control, 8: 338-353, (1965).
  2. [2] Atanassov, K. T., “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems, 20(1): 87-96, (1986).
  3. [3] Yager, R. R., “Pythagorean fuzzy subsets”, Proceedings of Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, 57-61, (2013).
  4. [4] Cuong, B. C., “Picture fuzzy sets,” Journal of Computer Science and Cybernetics, 30(4): 409-42. (2014).
  5. [5] Kahraman, C., Kutlu Gündoğdu, F., “From 1D to 3D membership: spherical fuzzy sets”, BOS/SOR 2018, Polish Operational and Systems Research Society, September 24-26, 2018, Palais Staszic, Warsaw, Poland.
  6. [6] Mahmood, T., Kifayat, U., Khan, Q., Jan, N., “An approach toward decision making and medical diagnosis problems using the concept of spherical fuzzy sets”, Neural Computing and Applications, 31: 7041-7053, (2018).
  7. [7] Haque, T. S., Chakraborty, A., Mondal, S. P., Alam, S., “Approach to solve multi-criteria group decision-making problems by exponential operational law in generalized spherical fuzzy environment”, CAAI Transactions on Intelligence Technology, 5(2): 106-114, (2020).
  8. [8] Harsanyi, J. C., “Cardinal welfare, individualistic ethics and interpersonal comparisons of utility”, Journal of Political Economy, 63: 309-321, (1955).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Early Pub Date

August 23, 2023

Publication Date

March 1, 2024

Submission Date

May 14, 2021

Acceptance Date

April 1, 2023

Published in Issue

Year 2024 Volume: 37 Number: 1

APA
Güner, E., & Aygün, H. (2024). A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators. Gazi University Journal of Science, 37(1), 393-413. https://doi.org/10.35378/gujs.937205
AMA
1.Güner E, Aygün H. A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators. Gazi University Journal of Science. 2024;37(1):393-413. doi:10.35378/gujs.937205
Chicago
Güner, Elif, and Halis Aygün. 2024. “A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators”. Gazi University Journal of Science 37 (1): 393-413. https://doi.org/10.35378/gujs.937205.
EndNote
Güner E, Aygün H (March 1, 2024) A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators. Gazi University Journal of Science 37 1 393–413.
IEEE
[1]E. Güner and H. Aygün, “A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators”, Gazi University Journal of Science, vol. 37, no. 1, pp. 393–413, Mar. 2024, doi: 10.35378/gujs.937205.
ISNAD
Güner, Elif - Aygün, Halis. “A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators”. Gazi University Journal of Science 37/1 (March 1, 2024): 393-413. https://doi.org/10.35378/gujs.937205.
JAMA
1.Güner E, Aygün H. A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators. Gazi University Journal of Science. 2024;37:393–413.
MLA
Güner, Elif, and Halis Aygün. “A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators”. Gazi University Journal of Science, vol. 37, no. 1, Mar. 2024, pp. 393-1, doi:10.35378/gujs.937205.
Vancouver
1.Elif Güner, Halis Aygün. A Comparative Study on the Generalized Spherical Fuzzy Einstein Aggregation Operators. Gazi University Journal of Science. 2024 Mar. 1;37(1):393-41. doi:10.35378/gujs.937205

Cited By