ASPG Menu
search

American Scientific Publishing Group

verified Journal

Journal of Neutrosophic and Fuzzy Systems

ISSN
Online: 2771-6449 Print: 2771-6430
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Journal of Neutrosophic and Fuzzy Systems
Full Length Article

Volume 7Issue 1PP: 08-15 • 2023

Interval – Valued Pythagorean Fuzzy Soft Graphs

R. Sivasamy 1* ,
M. Mohammed Jabarulla 1 ,
broumi said 2
1Department of Mathematics Jamal Mohamed College (Autonomous) Tiruchirappalli – 620020, Tamil Nadu, India (Affiliated to Bharathidasan University)
2Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
* Corresponding Author.
verified

Open Access & Copyright

© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 20, 2023 Revised: May 10, 2023 Accepted: June 30, 2023

Abstract

Interval-valued Pythagorean fuzzy soft sets and graph theory are combined in this essay. Then, we present notations for Pythagorean fuzzy soft graphs with interval values. On interval-valued Pythagorean fuzzy soft graphs, we also provide a variety of operations, such as Cartesian product and composition, and we look at some of their characteristics. Finally, we consider the application of I-VPFSGs for the selection  of suitable houses and got the appropriate result by using score function.

Keywords

Interval-valued fuzzy graph (I-VFG) Interval-valued fuzzy soft graph (I-VFSG) Interval-valued Pythagorean fuzzy soft graphs (I-VPFSG).

References

 

[1]

M. Akram, W.A. Dudek, interval-valued  fuzzy graphs, Computers and Mathematics with Applications.61(2011), 289-299. DOI: 10.1016/j.camwa.2010.11.004

[2]

M. Akram and S. Shahzadi, Novel intuitionistic fuzzy soft multiple-attribute decision- making methods, Neural computing and applications 29(7) (2018), 435-4478.

DOI: 10.1007/s00521-016-2543-x

[3]

K.T Atanssov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1)(1986),87-96. DOI: 10.1016/S0165-0114(86)80034-3

[4]

H. Garg, A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision making processes, International journal of Intelligent systems 31(12) (2016), 1234-1252.DOI:  https://doi.org/10.1002/int.21827

[5]

H. Garg, Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision - making process, Computational and Mathematical organization theory                        23(4) (2017), 546-571. DOI: 10.1007/s10588-017-9242-8

[6]

S.Y Mohamed, A.Mohammed Ali, Interval-valued Pythagorean fuzzy graph, Journal of computer and  Mathematical Sciences, Vol 9(10), 1497-1511(2018).

[7]

D.A. Molodstov, Soft set theory- first results, computers and Mathematics with applications          37, 19-31(1999). DOI: 10.1016/S0898-1221(99)00056-5

[8]

S.Shahzadi and M.Akram, Intuitionistic fuzzy soft graphs  with applications, Journal of Applied Mathematics and computing 55(12)(2017), 369-392.DOI: 10.1007/s12190-016-1041-8.

[9]

S.Shahzadi and M.Akram, Pythagorean fuzzy soft graphs with applications, Journal of Intelligence and Fuzzy Systems 38(2020) 4977-4991.DOI: 10.3233/JIFS-191610.

        [10]

Yager. R.R. Pythagorean fuzzy subsets. the Joint IFSA world congress and NAFIPS Annual Meeting, Edmonton AB Canada, 24-28 june (2013)

DOI:10.1109/IFSA-NAFIPS.2013.6608375.

       [11]

Yager. R.R. Pythagorean  membership grads in multi-criteria decision making. IEEE Trans. Fuzzy Syst., 22, 958-965 (2014).DOI: 10.1109/TFUZZ.2013.2278989.

[12]

X. Zhang, A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision-making, International journal of intelligent systems 31(6) (2016), 539-611.          DOI: 10.1002/int.21796.

[13]

X.Zhang and Z.Xu, Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets, International Journal of Intelligent Systems 29(12)(2014),1061-1078.                         DOI: 10.1002/int.21676.

[14]

L.A. Zadeh, fuzzy sets, Infromation and Control 8(3)(1965),338-353.

DOI:10.1016/S0019-9958(65)90241-X.

Cite This Article

Choose your preferred format

format_quote
Sivasamy, R., Jabarulla, M. Mohammed, said, broumi. "Interval – Valued Pythagorean Fuzzy Soft Graphs." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 7, no. Issue 1, 2023, pp. 08-15. DOI: https://doi.org/10.54216/JNFS.070101
Sivasamy, R., Jabarulla, M., said, b. (2023). Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems, Volume 7(Issue 1), 08-15. DOI: https://doi.org/10.54216/JNFS.070101
Sivasamy, R., Jabarulla, M. Mohammed, said, broumi. "Interval – Valued Pythagorean Fuzzy Soft Graphs." Journal of Neutrosophic and Fuzzy Systems Volume 7, no. Issue 1 (2023): 08-15. DOI: https://doi.org/10.54216/JNFS.070101
Sivasamy, R., Jabarulla, M., said, b. (2023) 'Interval – Valued Pythagorean Fuzzy Soft Graphs', Journal of Neutrosophic and Fuzzy Systems, Volume 7(Issue 1), pp. 08-15. DOI: https://doi.org/10.54216/JNFS.070101
Sivasamy R, Jabarulla M, said b. Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems. 2023;Volume 7(Issue 1):08-15. DOI: https://doi.org/10.54216/JNFS.070101
R. Sivasamy, M. Jabarulla, b. said, "Interval – Valued Pythagorean Fuzzy Soft Graphs," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 7, no. Issue 1, pp. 08-15, 2023. DOI: https://doi.org/10.54216/JNFS.070101
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready