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Several Similarity Measures of Neutrosophic Sets
Neutrosophic Sets and Systems 1:54-62 (2013)
Abstract
Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures.Author Profiles
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Citations of this work
Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making.Kalyan Modal, Surapati Pramanik & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 13:105-117.
Interval Neutrosophic Rough Sets.Said Broumi & Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 7:23-31.
NeutroAlgebra is a Generalization of Partial Algebra.Florentin Smarandache - 2020 - International Journal of Neutrosophic Science 2 (1):8-17.
A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Values with Applications to Pattern Recognition.Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin & Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:31-48.
Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making.Pranab Biswas, Surapati Pramanik & Bibhas C. Giri - 2016 - Neutrosophic Sets and Systems 12:20-40.
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