Interval Neutrosophic Vague Sets


  • Hazwani Hashim Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UiTM) Kelantan, Campus Machang, Kelantan, 18500, Malaysia
  • Lazim Abdullah School of Informatics and Applied Mathematics, University Malaysia Terengganu, 21030 Kuala Terengganu, Terengganu, Malaysia
  • Ashraf Al-Quran Department of Mathematics, Faculty of Science, Jerash University, Jerash, 26150 Jordan.


neutrosophic set, vague set, interval neutrsophic vague set.


Recently, vague sets and neutrosophic sets have received great attention among the scholars and have been applied in many applications. But, the actual theoretical impacts of the combination of these two sets in dealing uncertainties are still not fully explored until now. In this paper, a new generalized mathematical model called interval neutrosophic vague sets is proposed, which is a combination of vague sets and interval neutrosophic sets and a generalization of interval neutrosophic vague sets. Some definitions of interval neutrosophic vague set such as union, complement and intersection are presented. Furthermore, the basic operations, the derivation of its properties and related example are included.


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How to Cite

Hashim, H. ., Abdullah, L. ., & Al-Quran, A. (2020). Interval Neutrosophic Vague Sets. Neutrosophic Sets and Systems, 25, 66-75. Retrieved from