Neutrosophic Crisp Set Theory


  • A. A. Salama Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, 23 December Street, Port Said 42522, Egypt
  • Florentin Smarandache Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA


Neutrosophic Set, Neutrosophic Crisp Sets, Neutrosophic Crisp Relations, Generalized Neutrosophic Sets, Intuitionistic Neutrosophic Sets


The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets and others. Also, we introduce and study the neutrosophic crisp point and neutrosophic crisp relations. Possible applications to database are touched upon.


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How to Cite

A. Salama, A. ., & Smarandache, F. (2014). Neutrosophic Crisp Set Theory. Neutrosophic Sets and Systems, 5, 27-35. Retrieved from