Interval-Valued Complex Neutrosophic Soft Set and its Applications in Decision-Making


  • Faisal Al-Sharqi Universiti Kebangsaan Malaysia
  • Ashraf Al-Quran King Faisal University, Hofuf 31982, Al‐Ahsa, Saudi Arabia
  • Abd Ghafur Ahmad Department of Mathematics, Faculity of Education For Pure Sciences, University of Anbar,Ramadi,Anbar ,Iraq
  • Said Broumi Faculty of Science, University of Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco


Keywords: soft set; neutrosophic set; interval complex neutrosophic set; interval neutrosophic set; complex neutrosophic soft set.


 In this paper, the notion of the interval valued complex neutrosophic soft set (IV-CNSS) is
defined as a combination of interval valued complex neutrosophic set and soft set. Then, we introduce the IV-CNSS’s operations such as union, intersection and complement. To explore the study further, we present some basic operational rules, and investigate their properties. A new algorithm is developed by transforming the interval complex neutrosophic soft values from complex space to the real space using a practical formula which gives a decision-making with a simple computational process without the need to carry out directed operations by complex numbers. This algorithm is then applied to evaluate two kinds of a certain product from a manufacturer and choose the most suitable one. IV-CNSS provides an interval-based membership structure to handle the uncertain data. This feature allows decision makers to record their hesitancy in assigning membership values which in turn best catch the obscurity and the complexity of such data.


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How to Cite

Al-Sharqi, F., Al-Quran, A. ., Ahmad, A. G. ., & Broumi, S. . (2021). Interval-Valued Complex Neutrosophic Soft Set and its Applications in Decision-Making. Neutrosophic Sets and Systems, 40, 149-168. Retrieved from