The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets

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The Consistency between Cross-Entropy and Distance Measures in Fuzzy Sets

Author : Yameng Wang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Consistency between Cross-Entropy and Distance Measures in Fuzzy Sets by : Yameng Wang

Download or read book The Consistency between Cross-Entropy and Distance Measures in Fuzzy Sets written by Yameng Wang and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processing of uncertain information is increasingly becoming a hot topic in the artificial intelligence field, and the information measures of uncertainty information processing are also becoming of importance. In the process of decision-making, decision-makers make decisions mostly according to information measures such as similarity, distance, entropy, and cross-entropy in order to choose the best one. However, we found that many researchers apply cross-entropy to multi-attribute decision-making according to the minimum principle, which is in accordance with the principle of distance measures.

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Author : Broumi, Said
Publisher : IGI Global
ISBN 13 : 179987981X
Total Pages : 944 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Advances and Applications of Fuzzy Sets and Logic by : Broumi, Said

Download or read book Handbook of Research on Advances and Applications of Fuzzy Sets and Logic written by Broumi, Said and published by IGI Global. This book was released on 2022-03-04 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications

Author : Majdoleen Abu Qamar
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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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: 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 Measures between the Interval-Valued Complex Fuzzy Sets

Author : Songsong Dai
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Distance Measures between the Interval-Valued Complex Fuzzy Sets by : Songsong Dai

Download or read book Distance Measures between the Interval-Valued Complex Fuzzy Sets written by Songsong Dai and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex fuzzy set (CFS) is a recent development in the field of fuzzy set (FS) theory. The significance of CFS lies in the fact that CFS assigned membership grades from a unit circle in the complex plane, i.e., in the form of a complex number whose amplitude term belongs to a [0, 1] interval. The interval-valued complex fuzzy set (IVCFS) is one of the extensions of the CFS in which the amplitude term is extended from the real numbers to the interval-valued numbers. The novelty of IVCFS lies in its larger range comparative to CFS. We often use fuzzy distance measures to solve some problems in our daily life. Hence, this paper develops some series of distance measures between IVCFSs by using Hamming and Euclidean metrics. The boundaries of these distance measures for IVCFSs are obtained. Finally, we study two geometric properties include rotational invariance and reflectional invariance of these distance measures.

New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-making

Author : Yameng Wang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-making by : Yameng Wang

Download or read book New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-making written by Yameng Wang and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processing of uncertainty information has gradually became one of the hot issues in arti cial intelligence eld, and the infor- mation measures of uncertainty information processing are of importance. Single value neutrosophic sets (SVNSs) provide us a exible mathematical framework to process uncertainty information. In this paper, we mainly consider the measures of SVNSs. The existing information measures mostly are constructed based on the two typical inclusion relations about single value neutrosopgic sets. However, there exist some practical problems that do not apply to the two typical inclusion relations. Therefore, there exists another inclusion relation which is called the type-3 inclusion relation about SVNSs.

Hesitant Fuzzy Sets Theory

Author : Zeshui Xu
Publisher : Springer
ISBN 13 : 3319047116
Total Pages : 474 pages
Book Rating : 4.3/5 (19 download)

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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.

Intuitionistic Fuzzy Sets

Author : Krassimir T. Atanassov
Publisher : Physica
ISBN 13 : 3790818704
Total Pages : 336 pages
Book Rating : 4.7/5 (98 download)

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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.

Distances and Similarities in Intuitionistic Fuzzy Sets

Author : Eulalia Szmidt
Publisher : Springer
ISBN 13 : 9783319033020
Total Pages : 0 pages
Book Rating : 4.0/5 (33 download)

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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 2015-08-08 with total page 0 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.

Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery

Author : Yong Liu
Publisher : Springer Nature
ISBN 13 : 3030324567
Total Pages : 1004 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery by : Yong Liu

Download or read book Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery written by Yong Liu and published by Springer Nature. This book was released on 2019-11-06 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the recent advances in natural computation, fuzzy systems and knowledge discovery. Presenting selected, peer-reviewed papers from the 15th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019), held in Kunming, China, from 20 to 22 July 2019, it is a useful resource for researchers, including professors and graduate students, as well as R&D staff in industry.

A Decision-Making Approach Incorporating TODIM Method and Sine Entropy in q-Rung Picture Fuzzy Set Setting

Author : Büşra Aydoğan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Decision-Making Approach Incorporating TODIM Method and Sine Entropy in q-Rung Picture Fuzzy Set Setting by : Büşra Aydoğan

Download or read book A Decision-Making Approach Incorporating TODIM Method and Sine Entropy in q-Rung Picture Fuzzy Set Setting written by Büşra Aydoğan and published by Infinite Study. This book was released on 2024-01-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, we propose a new approach based on fuzzy TODIM (Portuguese acronym for interactive and multicriteria decision-making) for decision-making problems in uncertain environments. Our method incorporates group utility and individual regret, which are often ignored in traditional multicriteria decision-making (MCDM) methods. To enhance the analysis and application of fuzzy sets in decision-making processes, we introduce novel entropy and distance measures for q-rung picture fuzzy sets. These measures include an entropy measure based on the sine function and a distance measure derived from the Jensen-Shannon divergence. In our methodology, incorporating the sine function into the entropy measure stands out as a distinctive decision, grounded in a profound understanding of the inherent characteristics of fuzzy sets. Utilizing the sine function proves especially advantageous when handling fuzzy sets that exhibit cyclical variations or fluctuations in their membership degrees. We effectively weight the criteria for an improved evaluation by using this new entropy measure. The introduced distance measure finds application in the TODIM approach, allowing the execution of TODIM method steps within a fuzzy environment until the determination of one alternative’s dominance over another—an advancement beyond traditional approaches. We apply our enhanced fuzzy TODIM method to a real-life construction project management problem from the literature and compare the results with those in the literature and obtained from other MCDM methods. Our proposed measures are robust, as demonstrated by the sensitivity analysis that varied the weights of group utility and individual regret, with the results visualized in a 3D sensitivity plot. The findings demonstrate the superiority of our method in providing a more comprehensive evaluation of alternatives, making it a useful tool for decision-makers facing complex and uncertain decision-making problems.

Multi-Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment

Author : Gang Li
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Multi-Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment by : Gang Li

Download or read book Multi-Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment written by Gang Li and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The uncertainty, incomplete and inconsistent information can lead to some difficulties of decision making under the single valued neutrosophic set (SVNS) environment. Information measure plays an important role in SVNS theory, which has received more and more attention in recent years. In this study, we develop a multi-attribute decision making (MADM) method based on the single valued neutrosophic information measures.

Techniques of Decision Making, Uncertain Reasoning and Regression Analysis Under the Hesitant Fuzzy Environment and Their Applications

Download Techniques of Decision Making, Uncertain Reasoning and Regression Analysis Under the Hesitant Fuzzy Environment and Their Applications PDF Online Free

Author : Chenyang Song
Publisher : Springer Nature
ISBN 13 : 9811658005
Total Pages : 186 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Techniques of Decision Making, Uncertain Reasoning and Regression Analysis Under the Hesitant Fuzzy Environment and Their Applications by : Chenyang Song

Download or read book Techniques of Decision Making, Uncertain Reasoning and Regression Analysis Under the Hesitant Fuzzy Environment and Their Applications written by Chenyang Song and published by Springer Nature. This book was released on 2021-10-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly introduces some techniques of decision-making, uncertain reasoning and regression analysis under the hesitant fuzzy environment and expands the applications of hesitant fuzzy sets in solving practical problems. The book pursues three major objectives: (1) to introduce some techniques about decision-making, uncertain reasoning and regression analysis under the hesitant fuzzy environment, (2) to prove these techniques theoretically and (3) to apply the involved techniques to practical problems. The book is especially valuable for readers to understand how hesitant fuzzy set could be employed in decision-making, uncertain reasoning and regression analysis and motivates researchers to expand more application fields of hesitant fuzzy set.

Theory and Approaches of Group Decision Making with Uncertain Linguistic Expressions

Author : Hai Wang
Publisher : Springer
ISBN 13 : 9811337357
Total Pages : 222 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Theory and Approaches of Group Decision Making with Uncertain Linguistic Expressions by : Hai Wang

Download or read book Theory and Approaches of Group Decision Making with Uncertain Linguistic Expressions written by Hai Wang and published by Springer. This book was released on 2019-01-12 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly introduces a series of theory and approaches of group decision-making based on several types of uncertain linguistic expressions and addresses their applications. The book pursues three major objectives: (1) to introduce some techniques to model several types of natural linguistic expressions; (2) to handle these expressions in group decision-making; and (3) to clarify the involved approaches by practical applications. The book is especially valuable for readers to understand how linguistic expressions could be employed and operated to make decisions, and motivates researchers to consider more types of natural linguistic expressions in decision analysis under uncertainties.

Software Testing Automation

Author : Saeed Parsa
Publisher : Springer Nature
ISBN 13 : 3031220579
Total Pages : 594 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Software Testing Automation by : Saeed Parsa

Download or read book Software Testing Automation written by Saeed Parsa and published by Springer Nature. This book was released on 2023-03-24 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the design and development of tools for software testing. It intends to get the reader involved in software testing rather than simply memorizing the concepts. The source codes are downloadable from the book website. The book has three parts: software testability, fault localization, and test data generation. Part I describes unit and acceptance tests and proposes a new method called testability-driven development (TsDD) in support of TDD and BDD. TsDD uses a machine learning model to measure testability before and after refactoring. The reader will learn how to develop the testability prediction model and write software tools for automatic refactoring. Part II focuses on developing tools for automatic fault localization. This part shows the reader how to use a compiler generator to instrument source code, create control flow graphs, identify prime paths, and slice the source code. On top of these tools, a software tool, Diagnoser, is offered to facilitate experimenting with and developing new fault localization algorithms. Diagnoser takes a source code and its test suite as input and reports the coverage provided by the test cases and the suspiciousness score for each statement. Part III proposes using software testing as a prominent part of the cyber-physical system software to uncover and model unknown physical behaviors and the underlying physical rules. The reader will get insights into developing software tools to generate white box test data.

Symmetry in Mechanical Engineering

Author : Adam Glowacz
Publisher : MDPI
ISBN 13 : 3039362143
Total Pages : 372 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Symmetry in Mechanical Engineering by : Adam Glowacz

Download or read book Symmetry in Mechanical Engineering written by Adam Glowacz and published by MDPI. This book was released on 2020-06-03 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advancements in mechanical engineering are an essential topic for discussion. The topics relating to mechanical engineering include the following: measurements of signals of shafts, springs, belts, bearings, gears, rotors, machine elements, vibration analysis, acoustic analysis, fault diagnosis, construction, analysis of machine operation, analysis of smart-material systems, integrated systems, stresses, analysis of deformations, analysis of mechanical properties, signal processing of mechanical systems, and rotor dynamics. Mechanical engineering deals with solid and fluid mechanics, rotation, movements, materials, and thermodynamics. This book, with 15 published articles, presents the topic “Symmetry in Mechanical Engineering”. The presented topic is interesting. It is categorized into eight different sections: Deformation; Stresses; Mechanical properties; Tribology; Thermodynamic; Measurement; Fault diagnosis; Machine. The development of techniques and methods related to mechanical engineering is growing every month. The described articles have made a contribution to mechanical engineering. The proposed research can find applications in factories, oil refineries, and mines. It is essential to develop new improved methods, techniques, and devices related to mechanical engineering.

Information Measures for Hesitant Fuzzy Sets and Their Extensions

Author : Bahram Farhadinia
Publisher : Springer
ISBN 13 : 9811337292
Total Pages : 120 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Information Measures for Hesitant Fuzzy Sets and Their Extensions by : Bahram Farhadinia

Download or read book Information Measures for Hesitant Fuzzy Sets and Their Extensions written by Bahram Farhadinia and published by Springer. This book was released on 2018-12-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a thorough and systematic introduction to the latest research results on hesitant fuzzy and its extensions decision making theory. It includes five chapters: Hesitant Fuzzy Set and its Extensions, Distance Measures for Hesitant Fuzzy Sets and Their Extensions, Similarity Measures for Hesitant Fuzzy Sets and Their Extensions, Entropy Measures for Hesitant Fuzzy Sets and Their Extensions, and Application of Information Measures in Multiple Criteria Decision Making. These methodologies are also implemented in various fields such as decision making, medical diagnosis, cluster analysis, environmental management, etc. This book is suitable for the engineers, technicians, and researchers in the fields of fuzzy mathematics, operations research, information science and management science and engineering, etc. It can also be used as a textbook for postgraduate and senior-year undergraduate students of the relevant professional institutions of higher learning.

Fuzzy Sets, Fuzzy Logic and Their Applications

Author : Michael Gr. Voskoglou
Publisher : MDPI
ISBN 13 : 3039285203
Total Pages : 366 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Fuzzy Sets, Fuzzy Logic and Their Applications by : Michael Gr. Voskoglou

Download or read book Fuzzy Sets, Fuzzy Logic and Their Applications written by Michael Gr. Voskoglou and published by MDPI. This book was released on 2020-03-25 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity.