Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making

M.; Aiyared; Said; G.Balaji

doi:https://doi.org/10.54216/IJNS.220109

Full Length Article

Volume 22 • Issue 1 • PP: 114-123 • 2023

Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making

M. Palanikumar ^1*

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,

Aiyared Iampan ²

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,

Said Broumi ³

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,

G.Balaji ⁴

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¹Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India

²Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand

³Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco

⁴Department of Mathematics, Al- Ameen Engineering College, Erode

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.220109

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Received: January 02, 2023 Revised: March 20, 2023 Accepted: May 07, 2023

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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

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Palanikumar, M., Iampan, Aiyared, Broumi, Said, , 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. Volume 22, no. Issue 1, 2023, pp. 114-123. DOI: https://doi.org/10.54216/IJNS.220109

Palanikumar, M., Iampan, A., Broumi, S., , G. (2023). Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making. International Journal of Neutrosophic Science, Volume 22(Issue 1), 114-123. DOI: https://doi.org/10.54216/IJNS.220109

Palanikumar, M., Iampan, Aiyared, Broumi, Said, , G.Balaji. "Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making." International Journal of Neutrosophic Science Volume 22, no. Issue 1 (2023): 114-123. DOI: https://doi.org/10.54216/IJNS.220109

Palanikumar, M., Iampan, A., Broumi, S., , G. (2023) 'Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making', International Journal of Neutrosophic Science, Volume 22(Issue 1), pp. 114-123. DOI: https://doi.org/10.54216/IJNS.220109

Palanikumar M, Iampan A, Broumi S, G. Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 1):114-123. DOI: https://doi.org/10.54216/IJNS.220109

M. Palanikumar, A. Iampan, S. Broumi, G. , "Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 1, pp. 114-123, 2023. DOI: https://doi.org/10.54216/IJNS.220109

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