Distances And Similarities In Intuitionistic Fuzzy Sets
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Distances And Similarities In Intuitionistic Fuzzy Sets
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Author : Eulalia Szmidt
language : en
Publisher: Springer
Release Date : 2013-07-23
Distances And Similarities In Intuitionistic Fuzzy Sets written by Eulalia Szmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-23 with Technology & Engineering categories.
This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many applications, e.g. data mining, machine learning, decision making, and control. The work provides readers with a comprehensive set of theoretical concepts and practical tools for both defining and determining similarity between intuitionistic fuzzy sets. It describes an automatic algorithm for deriving intuitionistic fuzzy sets from data, which can aid in the analysis of information in large databases. The book also discusses other important applications, e.g. the use of similarity measures to evaluate the extent of agreement between experts in the context of decision making.
Entropy Measures Of Distance And Similarity Of Q Neutrosophic Soft Sets And Some Applications
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Author : Majdoleen Abu Qamar
language : en
Publisher: Infinite Study
Release Date :
Entropy Measures Of Distance And Similarity Of Q Neutrosophic Soft Sets And Some Applications written by Majdoleen Abu Qamar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Business & Economics categories.
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 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.
Distance And Similarity Measures For Neutrosophic Hypersoft Set Nhss With Construction Of Nhss Topsis And Applications
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Author : Muhammad Saqlain
language : en
Publisher: Infinite Study
Release Date : 2021-02-16
Distance And Similarity Measures For Neutrosophic Hypersoft Set Nhss With Construction Of Nhss Topsis And Applications written by Muhammad Saqlain and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-16 with Mathematics categories.
Neutrosophic HyperSoft Set (NHSS) is a new approach towards computational intelligence and decision making under uncertainty. In this paper, we first consider distances for NHSS, and then propose similarity measures for NHSS. We also consider aggregated operation for aggregating NHSS decision matrix. TOPSIS (Technique for the order preference by similarity to ideal solution) is a strong approach for multi-criteria decision making (MCDM) which has been studied under various extensions of fuzzy sets. These approaches have drawbacks in depicting fuzzy decision-making information for handling MCDM situations under NHSS environment.
Distance And Similarity Measures For Multiple Attribute Decision Making With Single Valued Neutrosophic Hesitant Fuzzy Information
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Author : RIDVAN ŞAHIN
language : en
Publisher: Infinite Study
Release Date :
Distance And Similarity Measures For Multiple Attribute Decision Making With Single Valued Neutrosophic Hesitant Fuzzy Information written by RIDVAN ŞAHIN and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
With respect to a combination of hesitant sets, and single-valued neutrosophic sets which are a special case of neutrosophic sets, the single valued neutrosophic hesitant sets (SVNHFS) have been proposed as a new theory set that allows the truth-membership degree, indeterminacy membership degree and falsity-membership degree including a collection of crisp values between zero and one, respectively.
A Chi Square Distance Based Similarity Measure Of Single Valued Neutrosophic Set And Applications
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Author : Haiping Ren
language : en
Publisher: Infinite Study
Release Date :
A Chi Square Distance Based Similarity Measure Of Single Valued Neutrosophic Set And Applications written by Haiping Ren and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Interval Valued Intuitionistic Fuzzy Sets
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer Nature
Release Date : 2019-09-21
Interval Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-21 with Technology & Engineering categories.
The book offers a comprehensive survey of interval-valued intuitionistic fuzzy sets. It reports on cutting-edge research carried out by the founder of the intuitionistic fuzzy sets, Prof. Krassimir Atanassov, giving a special emphasis to the practical applications of this extension. A few interesting case studies, such as in the area of data mining, decision making and pattern recognition, among others, are discussed in detail. The book offers the first comprehensive guide on interval-valued intuitionistic fuzzy sets. By providing the readers with a thorough survey and important practical details, it is expected to support them in carrying out applied research and to encourage them to test the theory behind the sets for new advanced applications. The book is a valuable reference resource for graduate students and researchers alike.
A Novel Similarity Measure For Interval Valued Intuitionistic Fuzzy Sets And Its Applications
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Author : Minxia Luo
language : en
Publisher: Infinite Study
Release Date :
A Novel Similarity Measure For Interval Valued Intuitionistic Fuzzy Sets And Its Applications written by Minxia Luo and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In this paper, a novel similarity measure for interval-valued intuitionistic fuzzy sets is introduced, which is based on the transformed interval-valued intuitionistic triangle fuzzy numbers. Its superiority is shown by comparing the proposed similarity measure with some existing similarity measures by some numerical examples. Furthermore, the proposed similarity measure is applied to deal with pattern recognition and medical diagnosis problems.
Some Similarity Measures Of Neutrosophic Sets Based On The Euclidean Distance And Their Application In Medical Diagnosis
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Author : Donghai Liu
language : en
Publisher: Infinite Study
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Some Similarity Measures Of Neutrosophic Sets Based On The Euclidean Distance And Their Application In Medical Diagnosis written by Donghai Liu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Hesitant Fuzzy Sets Theory
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Author : Zeshui Xu
language : en
Publisher: Springer
Release Date : 2014-01-30
Hesitant Fuzzy Sets Theory written by Zeshui Xu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-30 with Technology & Engineering categories.
This book provides the readers with a thorough and systematic introduction to hesitant fuzzy theory. It presents the most recent research results and advanced methods in the field. These includes: hesitant fuzzy aggregation techniques, hesitant fuzzy preference relations, hesitant fuzzy measures, hesitant fuzzy clustering algorithms and hesitant fuzzy multi-attribute decision making methods. Since its introduction by Torra and Narukawa in 2009, hesitant fuzzy sets have become more and more popular and have been used for a wide range of applications, from decision-making problems to cluster analysis, from medical diagnosis to personnel appraisal and information retrieval. This book offers a comprehensive report on the state-of-the-art in hesitant fuzzy sets theory and applications, aiming at becoming a reference guide for both researchers and practitioners in the area of fuzzy mathematics and other applied research fields (e.g. operations research, information science, management science and engineering) characterized by uncertain ("hesitant") information. Because of its clarity and self contained explanations, the book can also be adopted as a textbook from graduate and advanced undergraduate students.
A Chi Square Distance Based Similarity Measure Of Single Valued Neutrosophic Under Set And Applications
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Author : T. Deepika
language : en
Publisher: Infinite Study
Release Date :
A Chi Square Distance Based Similarity Measure Of Single Valued Neutrosophic Under Set And Applications written by T. Deepika and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.