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Distances And Similarities In Intuitionistic Fuzzy Sets
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Book Synopsis Distances and Similarities in Intuitionistic Fuzzy Sets by : Eulalia Szmidt
Download or read book Distances and Similarities in Intuitionistic Fuzzy Sets written by Eulalia Szmidt and published by Springer. This book was released on 2013-07-23 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Intuitionistic Fuzzy Sets by : Krassimir T. Atanassov
Download or read book Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and published by Physica. This book was released on 2013-03-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the beginning of 1983, I came across A. Kaufmann's book "Introduction to the theory of fuzzy sets" (Academic Press, New York, 1975). This was my first acquaintance with the fuzzy set theory. Then I tried to introduce a new component (which determines the degree of non-membership) in the definition of these sets and to study the properties of the new objects so defined. I defined ordinary operations as "n", "U", "+" and "." over the new sets, but I had began to look more seriously at them since April 1983, when I defined operators analogous to the modal operators of "necessity" and "possibility". The late George Gargov (7 April 1947 - 9 November 1996) is the "god father" of the sets I introduced - in fact, he has invented the name "intu itionistic fuzzy", motivated by the fact that the law of the excluded middle does not hold for them. Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries. This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields. In this sense, it has also a referential character.
Book Synopsis Interval-Valued Intuitionistic Fuzzy Sets by : Krassimir T. Atanassov
Download or read book Interval-Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and published by Springer Nature. This book was released on 2019-09-21 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pythagorean Fuzzy Sets by : Harish Garg
Download or read book Pythagorean Fuzzy Sets written by Harish Garg and published by Springer Nature. This book was released on 2021-07-22 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.
Book Synopsis Intelligent and Fuzzy Techniques: Smart and Innovative Solutions by : Cengiz Kahraman
Download or read book Intelligent and Fuzzy Techniques: Smart and Innovative Solutions written by Cengiz Kahraman and published by Springer Nature. This book was released on 2020-07-10 with total page 1701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the most recent developments in fuzzy & intelligence systems and real complex systems presented at INFUS 2020, held in Istanbul on July 21–23, 2020. The INFUS conferences are a well-established international research forum to advance the foundations and applications of intelligent and fuzzy systems, computational intelligence, and soft computing, highlighting studies on fuzzy & intelligence systems and real complex systems at universities and international research institutions. Covering a range of topics, including the theory and applications of fuzzy set extensions such as intuitionistic fuzzy sets, hesitant fuzzy sets, spherical fuzzy sets, and fuzzy decision-making; machine learning; risk assessment; heuristics; and clustering, the book is a valuable resource for academics, M.Sc. and Ph.D. students, as well as managers and engineers in industry and the service sectors.
Book Synopsis Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications by : Majdoleen Abu Qamar
Download or read book Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications written by Majdoleen Abu Qamar and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the Q-neutrosophic soft set emerges from the neutrosophic soft set by 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 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.
Book Synopsis Computational Intelligence in Decision and Control by : Da Ruan
Download or read book Computational Intelligence in Decision and Control written by Da Ruan and published by World Scientific. This book was released on 2008 with total page 1201 pages. Available in PDF, EPUB and Kindle. Book excerpt: FLINS, originally an acronym for Fuzzy Logic and Intelligent Technologies in Nuclear Science, is now extended to Computational Intelligence for applied research. The contributions to the eighth edition in the series of FLINS conferences cover state-of-the-art research, development, and technology for computational intelligence systems in general, and for intelligent decision and control in particular.
Book Synopsis A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications by : H.P. Ren
Download or read book A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications written by H.P. Ren and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Hesitant Fuzzy Sets Theory by : Zeshui Xu
Download or read book Hesitant Fuzzy Sets Theory written by Zeshui Xu and published by Springer. This book was released on 2014-01-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Medical Image Processing by : Tamalika Chaira
Download or read book Medical Image Processing written by Tamalika Chaira and published by CRC Press. This book was released on 2015-01-28 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medical image analysis using advanced fuzzy set theoretic techniques is an exciting and dynamic branch of image processing. Since the introduction of fuzzy set theory, there has been an explosion of interest in advanced fuzzy set theories-such as intuitionistic fuzzy and Type II fuzzy set-that represent uncertainty in a better way.Medical Image Pro
Book Synopsis A Chi-Square Distance-Based Similarity Measure Of Single-Valued Neutrosophic Under Set And Applications by : T. Deepika
Download or read book A Chi-Square Distance-Based Similarity Measure Of Single-Valued Neutrosophic Under Set And Applications written by T. Deepika and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Hausdorff Distance and Similarity Measures for Single-Valued Neutrosophic Sets with Application in Multi-Criteria Decision Making by : Mehboob Ali
Download or read book Hausdorff Distance and Similarity Measures for Single-Valued Neutrosophic Sets with Application in Multi-Criteria Decision Making written by Mehboob Ali and published by Infinite Study. This book was released on 2022-01-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hausdorff distance is one of the important distance measures to study the degree of dissimilarity between two sets that had been used in various fields under fuzzy environments. Among those, the framework of single-valued neutrosophic sets (SVNSs) is the one that has more potential to explain uncertain, inconsistent and indeterminate information in a comprehensive way. And so, Hausdorff distance for SVNSs is important. Thus, we propose two novel schemes to calculate the Hausdorff distance and its corresponding similarity measures (SMs) for SVNSs. In doing so, we firstly develop the two forms of Hausdorff distance between SVNSs based on the definition of Hausdorff metric between two sets. We then use these new distance measures to construct several SMs for SVNSs. Some mathematical theorems regarding the proposed Hausdorff distances for SVNSs are also proven to strengthen its theoretical properties. In order to show the exact calculation behavior and distance measurement mechanism of our proposed methods in accordance with the decorum of Hausdorff metric, we utilize an intuitive numerical example that demonstrate the novelty and practicality of our proposed measures. Furthermore, we develop a multi-criteria decision making (MCDM) method under single-valued neutrosophic environment using the proposed SMs based on our defined Hausdorff distance measures, called as a single-valued neutrosophic MCDM (SVN-MCDM) method. In this connection, we employ our proposed SMs to compute the degree of similarity of each option with the ideal choice to identify the best alternative as well as to perform an overall ranking of the alternatives under study. We then apply our proposed SVN-MCDM scheme to solve two real world problems of MCDM under single-valued neutrosophic environment to show its effectiveness and application.
Author :Management Association, Information Resources Publisher :IGI Global ISBN 13 :1522552057 Total Pages :2494 pages Book Rating :4.5/5 (225 download)
Book Synopsis Computer Vision: Concepts, Methodologies, Tools, and Applications by : Management Association, Information Resources
Download or read book Computer Vision: Concepts, Methodologies, Tools, and Applications written by Management Association, Information Resources and published by IGI Global. This book was released on 2018-02-02 with total page 2494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of computer vision and image processing are constantly evolving as new research and applications in these areas emerge. Staying abreast of the most up-to-date developments in this field is necessary in order to promote further research and apply these developments in real-world settings. Computer Vision: Concepts, Methodologies, Tools, and Applications is an innovative reference source for the latest academic material on development of computers for gaining understanding about videos and digital images. Highlighting a range of topics, such as computational models, machine learning, and image processing, this multi-volume book is ideally designed for academicians, technology professionals, students, and researchers interested in uncovering the latest innovations in the field.
Book Synopsis Artificial Intelligence by : Lu Fang
Download or read book Artificial Intelligence written by Lu Fang and published by Springer Nature. This book was released on 2022-12-16 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume set LNCS 13604-13606 constitutes revised selected papers presented at the Second CAAI International Conference on Artificial Intelligence, held in Beijing, China, in August 2022. CICAI is a summit forum in the field of artificial intelligence and the 2022 forum was hosted by Chinese Association for Artificial Intelligence (CAAI). The 164 papers were thoroughly reviewed and selected from 521 submissions. CICAI aims to establish a global platform for international academic exchange, promote advanced research in AI and its affiliated disciplines such as machine learning, computer vision, natural language, processing, and data mining, amongst others.
Download or read book Soft Computing written by Mangey Ram and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-08-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft computing is used where a complex problem is not adequately specified for the use of conventional math and computer techniques. Soft computing has numerous real-world applications in domestic, commercial and industrial situations. This book elaborates on the most recent applications in various fields of engineering.
Book Synopsis Neutrosophic Sets and Systems, Vol. 29, 2019 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 29, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 29, 2019 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 29, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
