New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation
New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation

Author: XINDONG PENG

Publisher: Infinite Study

Published:

Total Pages: 24

ISBN-13:

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In the epoch of Internet of Things (IoT), we are confronted five challenges (Connectivity, Value, Security, Telepresence and Intelligence) with complex structures. IoT industry decision making is critically important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly accelerate industrialized and large-scale development. In the case of IoT industry decision evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity and incertitude. Interval neutrosophic set (INS), disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F with interval form, is a more viable and effective means to seize indeterminacy.

New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making
New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making

Author: Han Yang

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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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.

Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis
Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis

Author: Donghai Liu

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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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.

A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications
A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications

Author: H.P. Ren

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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The aim of this paper is to propose a new similarity measure of singlevalued neutrosophic sets (SVNSs). The idea of the construction of the new similarity measure comes from Chi-square distance measure, which is an important measure in the applications of image analysis and statistical inference. Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment.

A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications
A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications

Author: H.P. Ren

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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The aim of this paper is to propose a new similarity measure of singlevalued neutrosophic sets (SVNSs). The idea of the construction of the new similarity measure comes from Chi-square distance measure, which is an important measure in the applications of image analysis and statistical inference. Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment.

A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications
A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications

Author: Haiping Ren

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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The aim of this paper is to propose a new similarity measure of single valued neutrosophic sets (SVNSs). The idea of the construction of the new similarity measure comes from Chi-square distance measure, which is an important measure in the applications of image analysis and statistical inference. Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment.

A Chi-Square Distance-Based Similarity Measure Of Single-Valued Neutrosophic Under Set And Applications
A Chi-Square Distance-Based Similarity Measure Of Single-Valued Neutrosophic Under Set And Applications

Author: T. Deepika

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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The aim of this paper is to propose a new similarity measure of single valued neutrosophic under sets (SVNUSs). Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNUSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment.

A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set
A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set

Author: Jason Chih-sheng Chou

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Employing the concept and function of tangency with similarity measures and counterpart distances for reliable medical consultations has been extensively studied in the past decades and results in lots of isomorphic measures for application. We compared the majority of such isomorphic measures proposed by various researchers and classified them into (a) maximum norm and (b) one-norm categories. Moreover, we found that previous researchers used monotonic functions to transform an identity function and resulted in complicated expressions. In this study, we provide a theoretical foundation to explain the isomorphic nature of a newer measure proposed by the following research paper against its studied existing one in deriving the same pattern recognition results. Specifically, this study initially proposes two similarity measures using maximum norm, arithmetic mean, and aggregation operators and followed by a detailed discussion on their mathematical characteristics. Subsequently, a simplified version of such measures is presented for easy application. This study completely covers two previous methods to point out that the complex approaches used were unnecessary. The findings will help physicians, patients, and their family members to obtain a proper medical diagnosis during multiple examinations.