Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications

Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications

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The idea of the Q-neutrosophic soft set emerges from the neutrosophic soft set by LED Signs upgrading the membership functions to a two-dimensional entity which indicate uncertainty, indeterminacy and falsity.Hence, it is able to deal with two-dimensional inconsistent, imprecise, and indeterminate information appearing in real life situations.In this study, the tools that measure the similarity, distance and the degree of fuzziness of Q-neutrosophic soft sets are presented.

The definitions of distance, similarity and measures of entropy are introduced.Some formulas for Q-neutrosophic soft entropy were presented.The known Hamming, Euclidean and their normalized distances are generalized to make them well matched with the idea of Q-neutrosophic soft 5 Piece Outdoor Sectional set.

The distance measure is subsequently used to define the measure of similarity.Lastly, we expound three applications of the measures of Q-neutrosophic soft sets by applying entropy and the similarity measure to a medical diagnosis and decision making problems.