Some properties of α−product on spherical fuzzy graphs

Document Type : Research Paper

Authors

1 PG and Research Department of Mathematics, Rajah Serfoji Government College (Autonomous), Affiliated to Bharathidasan University, Thanjavur, India-613005.

2 Research Scholar,_x000D_ Department of Mathematics,_x000D_ Rajah Serfoji Government College(Autonomous),_x000D_ (Affiliated to Bharathidasan University),_x000D_ Thanjavur-613005

Abstract

In a network model involves incomplete and imperfect network states for which sophisticated analysis is needed. Spherical fuzzy sets could be more helpful for the analysis of network state more accurately. The following evaluation information may be provided by the decision maker: Yes, Abstain; No, Reject. To solve such problems, we can use a mathematical model based on spherical fuzzy sets. The mathematical models are something like a theory which should be able to explain observations of making useful predictions. In this paper, some properties of α−product on spherical fuzzy graphs are studied. Also, the regularity properties of α−product of two spherical fuzzy graphs are discussed. Theorems related these concepts are stated and proved.

Keywords

Main Subjects

References

[1] M. Akram, D. Saleem and T. Al-Hawary, Spherical Fuzzy Graphs with Application to Decision-Making, Math. Comput. Appl., 25(8)(2020), 1-32.
[2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
[3] B. C. Cuong, Picture fuzzy setsFirst results, Part 1, In Seminar Neuro-Fuzzy Systems with Applications; Institute of Mathematics, Vietnam Academy of Science and Technology: Hanoi, Vietnam, (2013).
[4] B. C. Cuong, Picture fuzzy sets First results, Part 2, In Seminar Neuro-Fuzzy Systems with Applications; Institute of Mathematics, Vietnam Academy of Science and Technology: Hanoi, Vietnam, (2013).
[5] A. N. Gani and B. F. Gani, alpha product of fuzzy graphs, Advances in Fuzzy Sets and Systems, 7(1)(2014), 27-48.
[6] A. Guleria and R. K. Bajaj, T-Spherical Fuzzy Graphs: Operations and Applications in Various Selection Processes, Arabian Journal for Science and Engineering, 45 (2020), 2177-2193.
[7] U. Kifayat, Q. Khan and N. Jan, Similarity measures for T-spherical fuzzy sets with applications in pattern recognition, Symmetry, 10(6)(2018), 1-14.
[8] B. Mohamed Harif and A. Nazeera Begam, On regular spherical fuzzy graphs, Journal of Hyperstructures 12(2)(2023), 244-256.
[9] B. Mohamed Harif and A. Nazeera Begam, On pseudo regular spherical fuzzy graphs, Ratio Mathematica, 50(2023), 45-55.
[10] B. Mohamed Harif and A.Nazeera Begam,  α-product on spherical fuzzy graphs, Communicated.
[11] M. Shoaib, W. Mahmood, W. Albalawi and F. Ahmad Shami, Notion of Complex
Spherical Fuzzy Graph with Application, 2022, Article ID 1795860, 1-27.
[12] T. Mahmood, U. Kifayat, Q. Khan and N.Jan, An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets, Neural Comput. Appl., 31(2019), 7041{7053.
[13] J. N. Mordeson and C. Peng, Operations on Fuzzy Graphs, Inform. Sci. 79(1994),
159-170.
[14] R. R. Yager, Pythagorean fuzzy subsets, in Proceedings of the Joint IFSA World Congress and NAFIPS Annual Meeting, , Edmonton, AB, Canada, (2013), 24-28
[15] C. Zuo, A. Pal and A. Dey, New concepts of picture Fuzzy Graphs with Application, Mathematics, 7(470)(2019), 1-18.
[16] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-353.
Journal of Hyperstructures
Volume 13, Issue 1
2024
Pages 33-45

Files

Share

How to cite

Statistics