Decision-Making Problems under the Environment of m-Polar Diophantine Neutrosophic N-Soft Set
  • Shouzhen Zeng1,2, Shahbaz Ali3,*, Muhammad Khalid Mahmood4, Florentin Smarandache5, Daud Ahmad4
1 School of Business, Ningbo University, Ningbo, 315211, China
2 College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, 310018, China
3 Department of Mathematics, Khawaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, 64200, Pakistan
4 Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan
5 Department of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USA
* Corresponding Author: Shahbaz Ali. Email:
(This article belongs to this Special Issue:Advances in Neutrosophic and Plithogenic Sets for Engineering and Sciences: Theory, Models, and Applications (ANPSESTMA))
Received 08 May 2021; Accepted 15 July 2021 ; Published online 07 September 2021
Fuzzy models are present everywhere from natural to artificial structures, embodying the dynamic processes in physical, biological, and social systems. As real-life problems are often uncertain on account of inconsistent and indeterminate information, it seems very demanding for an expert to solve those problems using a fuzzy model. In this regard, we develop a hybrid new model m-polar Diophantine neutrosophic N-soft set which is based on neutrosophic set and soft set. Additionally, we define several different sorts of compliments on the proposed set. A proposed set is a generalized form of fuzzy, soft, Pythagorean fuzzy, Pythagorean fuzzy soft, and Pythagorean fuzzy N-soft sets. In this manner, m-polar Diophantine neutrosophic N-soft set is more proficient, a versatile model to oversee vulnerabilities as it likewise survives the downsides of existing models which are to be summed up. Furthermore, we give the application of the proposed set in multi-attribute decision-making problems by defining a new choice-value function.
Neutrosophic set; soft set; N-soft set; m-polar diophantine neutrosophic N-soft set; decision making