Systematic Review of Decision Making Algorithms in Extended Neutrosophic Sets

• Main Authors: Mohsin Khan, Le Hoang Son, Mumtaz Ali, Hoang Thi Minh Chau, Nguyen Thi Nhu Na, Florentin Smarandache
• Format: Article
• Language: English
• Published: MDPI AG 2018-08-01
• Series: Symmetry
• Subjects: multi attribute algorithms; decision making; neutrosophic set; literature review
• Online Access: http://www.mdpi.com/2073-8994/10/8/314

The Neutrosophic set (NS) has grasped concentration by its ability for handling indeterminate, uncertain, incomplete, and inconsistent information encountered in daily life. Recently, there have been various extensions of the NS, such as single valued neutrosophic sets (SVNSs), Interval neutrosophic sets (INSs), bipolar neutrosophic sets (BNSs), Refined Neutrosophic Sets (RNSs), and triangular fuzzy number neutrosophic set (TFNNs). This paper contains an extended overview of the concept of NS as well as several instances and extensions of this model that have been introduced in the last decade, and have had a significant impact in literature. Theoretical and mathematical properties of NS and their counterparts are discussed in this paper as well. Neutrosophic-set-driven decision making algorithms are also overviewed in detail.