Volume 7 • Issue 1 • PP: 08-15 • 2023
Interval – Valued Pythagorean Fuzzy Soft Graphs
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).
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
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. |
|
[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) |
|
[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. |
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