Several Similarity Measures of Interval Valued Neutrosophic Soft Sets and Their Application in Pattern Recognition Problems

• Main Authors: Anjan Mukherjee, Sadhan Sarkar
• Format: Article
• Language: English
• Published: University of New Mexico 2014-12-01
• Series: Neutrosophic Sets and Systems
• Subjects: Soft set; Neutrosophic soft set; Interval valued neutrosophic soft set; Hamming distance; Euclidean distance; Similarity measure; pattern recognition
• Online Access: http://fs.gallup.unm.edu/NSS/Several%20Similarity%20Measures%20of%20Interval%20Valued.pdf

Interval valued neutrosophic soft set introduced by Irfan Deli in 2014[8] is a generalization of neutrosophic set introduced by F. Smarandache in 1995[19], which can be used in real scientific and engineering applications. In this paper the Hamming and Euclidean distances between two interval valued neutrosophic soft sets (IVNS sets) are defined and similarity measures based on distances between two interval valued neutrosophic soft sets are proposed. Similarity measure based on set theoretic approach is also proposed. Some basic properties of similarity measures between two interval valued neutrosophic soft sets is also studied. A decision making method is established for interval valued neutrosophic soft set setting using similarity measures between IVNS sets. Finally an example is given to demonstrate the possible application of similarity measures in pattern recognition problems.