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Author : Said Broumi
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Book Synopsis New Distance and Similarity Measures of Interval Neutrosophic Sets by : Said Broumi
Download or read book New Distance and Similarity Measures of Interval Neutrosophic Sets written by Said Broumi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper we proposed a new distance and several similarity measures between interval neutrosophic sets.
Author : Han Yang
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Genre : Mathematics
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Book Synopsis New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making by : Han Yang
Download or read book New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making written by Han Yang. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different. Then, we propose the axiomatic definitions of the similarity measure and entropy of the interval neutrosophic set (INS) based on the new inclusion relation. Based on the Hamming distance, cosine function and cotangent function, some new similarity measures and entropies of INS are constructed. Finally, based on the new similarity and entropy, we propose a multi-attribute decision-making method and illustrate that these new similarities and entropies are reasonable and effective.
Author : Donghai Liu
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Genre : Mathematics
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Book Synopsis Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis by : Donghai Liu
Download or read book Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis written by Donghai Liu . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of single-valued neutrosophic sets (SVNSs) and interval-valued neutrosophic sets (IVNSs) are defined based on the Euclidean distance measure, respectively, and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SVNSs and IVNSs, which are then compared to other existing similarity measures.
Author : Said Broumi
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Book Synopsis Cosine Similarity Measure of Interval Valued Neutrosophic Sets by : Said Broumi
Download or read book Cosine Similarity Measure of Interval Valued Neutrosophic Sets written by Said Broumi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance .
Author : Chunfang Liu
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Book Synopsis New Similarity Measures of Simplified Neutrosophic Sets and Their Applications by : Chunfang Liu
Download or read book New Similarity Measures of Simplified Neutrosophic Sets and Their Applications written by Chunfang Liu. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The simplified neutrosophic set (SNS) is a generalization of fuzzy set that is designed for some practical situations in which each element has truth membership function, indeterminacy membership function and falsity membership function.
