Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis
نویسندگان
چکیده
In this paper, we define a rough cosine similarity measure between two rough neutrosophic sets. The notions of rough neutrosophic sets (RNS) will be used as vector representations in 3D-vector space. The rating of all elements in RNS is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree. A numerical example of the medical diagnosis is provided to show the effectiveness and flexibility of the proposed method. General Terms Rough neutrosophic set, Cosine similarity measure
منابع مشابه
Neutrosophic Refined Similarity Measure Based on Cosine Function
In this paper, the cosine similarity measure of neutrosophic refined (multi-) sets is proposed and its properties are studied. The concept of this cosine similarity measure of neutrosophic refined sets is the extension of improved cosine similarity measure of single valued neutrosophic. Finally, using this cosine similarity measure of neutrosophic refined set, the application of medical diagnos...
متن کاملCotangent Similarity Measure of Rough Neutrosophic Sets and Its Application to Medical Diagnosis
Similarity measure plays an important role in medical diagnosis. In this paper, a new rough cotangent similarity measure between two rough neutrosophic sets is proposed. The notion of rough neutrosophic set is used as vector representations in 3D-vector space. The rating of all elements in rough neutrosophic set is expressed with the upper and lower approximation operator and the pair of neutro...
متن کاملImproved cosine similarity measures of simplified neutrosophic sets for medical diagnoses
OBJECTIVE In pattern recognition and medical diagnosis, similarity measure is an important mathematical tool. To overcome some disadvantages of existing cosine similarity measures of simplified neutrosophic sets (SNSs) in vector space, this paper proposed improved cosine similarity measures of SNSs based on cosine function, including single valued neutrosophic cosine similarity measures and int...
متن کاملmproved cosine similarity measures of simplified neutrosophic sets or medical diagnoses
Objective: In pattern recognition and medical diagnosis, similarity measure is an important mathematical tool. To overcome some disadvantages of existing cosine similarity measures of simplified neutrosophic sets (SNSs) in vector space, this paper proposed improved cosine similarity measures of SNSs based on cosine function, including single valued neutrosophic cosine similarity measures and in...
متن کاملNeutrosophic Refined Similarity Measure Based on Tangent Function and Its Application to Multi Attribute Decesion Making
In the paper, tangent similarity measure of neutrosophic refined set is proposed and its properties are studied. The concept of this tangent similarity measure of single valued neutrosophic refined sets is an extension of tangent similarity measure of single valued neutrosophic sets. Finally, using the propsed refined tangent similarity measure of single valued neutrosophic sets, a numerical ex...
متن کامل