1
Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
(palanimaths86@gmail.com)
2
Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
(aiyared.ia@up.ac.th)
3
Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco
(broumisaid78@gmail.com)
4
Department of Mathematics, Al- Ameen Engineering College, Erode
(balajivaithesh@gmail.com)
Abstract :
In this paper, we present the Pythagorean neutrosophic interval valued fuzzy soft set. This is a generalization of the Pythagorean interval valued fuzzy soft set as well as the neutrosophic interval valued fuzzy soft set. It is discussed in this paper how an aggregated operation is used to aggregate the decision matrix of PNIVS. There are a number of extensions to the normosophic fuzzy soft sets that involve the use of multi-criteria decisionmaking. The aim of this study is to develop a score function based on aggregating TOPSIS methods in order to find ideal solutions for PNIVS that have both positive and negative values. The purpose of this study is to identify the optimal alternative under closeness conditions. It gives us the opportunity to interact with two real life problems, such as the production of ten different types of motorbikes by an automobile company. According to this set of parameters, a motorbike is determined by the fuel tank capacity, better styling, a better price, more mileage, durable, and other factors that determine how a customer can choose which bike to buy.
Keywords :
PNIVS set; MCGDM; TOPSIS; aggregation operator
References :
[1] C.L. Hwang, K. Yoon, Multiple Attributes Decision Making Methods and Applications, Springer, Berlin Heidelberg, 1981.
[2] Z. Xiao, W.J. Chen, and L.L. Li, A method based on interval-valued fuzzy soft set for multi attribute group decision making problems under uncertain environment, Knowledge and Information Systems, 34, (2013), 653-669.
[3] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), (1965), 338-353.
[4] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1), (1986), 87-96.
[5] M. Gorzalczany, A method of inference in approximate reasoning based on interval valued fuzzy sets, Fuzzy Sets and Systems, 21, (1987) 1-17.
[6] Ranjit Biswas, Vague Groups, International journal of Computational Cognition, 4(2),(2006), 20-23.
[7] R. R. Yager, Pythagorean membership grades in multi criteria decision-making, IEEE Trans. Fuzzy Systems, 22, (2014), 958-965.
[8] X. Peng, and Y. Yang, Fundamental properties of interval valued pythagorean fuzzy aggregation operators, International Journal of Intelligent Systems, (2015), 1-44.
[9] S. Ashraf, S. Abdullah, T. Mahmood, F. Ghani and T. Mahmood, Spherical fuzzy sets and their applications in multi-attribute decision making problems, Journal of Intelligent and Fuzzy Systems, 36, (2019), 2829-284.
[10] B.C. Cuong and V. Kreinovich, Picture fuzzy sets a new concept for computational intelligence problems, in Proceedings of 2013 Third World Congress on Information and Communication Technologies (WICT 2013), IEEE, (2013), 1-6.
| Style | # |
|---|---|
| MLA | M. Palanikumar, Aiyared Iampan, Said Broumi, G.Balaji. "Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making." International Journal of Neutrosophic Science, Vol. 22, No. 1, 2023 ,PP. 114-123 (Doi : https://doi.org/10.54216/IJNS.220109) |
| APA | M. Palanikumar, Aiyared Iampan, Said Broumi, G.Balaji. (2023). Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making. Journal of International Journal of Neutrosophic Science, 22 ( 1 ), 114-123 (Doi : https://doi.org/10.54216/IJNS.220109) |
| Chicago | M. Palanikumar, Aiyared Iampan, Said Broumi, G.Balaji. "Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making." Journal of International Journal of Neutrosophic Science, 22 no. 1 (2023): 114-123 (Doi : https://doi.org/10.54216/IJNS.220109) |
| Harvard | M. Palanikumar, Aiyared Iampan, Said Broumi, G.Balaji. (2023). Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making. Journal of International Journal of Neutrosophic Science, 22 ( 1 ), 114-123 (Doi : https://doi.org/10.54216/IJNS.220109) |
| Vancouver | M. Palanikumar, Aiyared Iampan, Said Broumi, G.Balaji. Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 1 ): 114-123 (Doi : https://doi.org/10.54216/IJNS.220109) |
| IEEE | M. Palanikumar, Aiyared Iampan, Said Broumi, G.Balaji, Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 1 , (2023) : 114-123 (Doi : https://doi.org/10.54216/IJNS.220109) |