Fuzzy Dual Numbers

Author : Felix Mora-Camino,Carlos Alberto Nunes Cosenza
Publisher : Springer
Page : 62 pages
File Size : 41,5 Mb
Release : 2017-10-02
Category : Technology & Engineering
ISBN : 9783319654188

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Fuzzy Dual Numbers by Felix Mora-Camino,Carlos Alberto Nunes Cosenza Pdf

This is the first book focusing exclusively on fuzzy dual numbers. In addition to offering a concise guide to their properties, operations and applications, it discusses some of their advantages with regard to classical fuzzy numbers, and describes the most important operations together with a set of interesting applications in e.g. optimization, decision-making and system design. The book provides students, researchers and professionals the necessary theoretical background to apply this particular subset of fuzzy numbers to decision-making problems involving uncertainty. Further, it shows how to solve selected engineering and management problems and includes detailed numerical examples.

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 161 pages
File Size : 42,9 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599731841

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Dual Numbers by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf

Author : S.-L. Sun,A.J. Tallón-Ballesteros,D.S. Pamučar
Publisher : IOS Press
Page : 652 pages
File Size : 48,9 Mb
Release : 2016-11-24
Category : Computers
ISBN : 9781614997221

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Fuzzy Systems and Data MiningII by S.-L. Sun,A.J. Tallón-Ballesteros,D.S. Pamučar Pdf

Fuzzy systems and data mining are now an essential part of information technology and data management, with applications affecting every imaginable aspect of our daily lives. This book contains 81 selected papers from those accepted and presented at the 2nd international conference on Fuzzy Systems and Data Mining (FSDM2016), held in Macau, China, in December 2016. This annual conference focuses on 4 main groups of topics: fuzzy theory, algorithm and system; fuzzy applications; the interdisciplinary field of fuzzy logic and data mining; and data mining, and the event provided a forum where more than 100 qualified, high-level researchers and experts from over 20 countries, including 4 keynote speakers, gathered to create an important platform for researchers and engineers worldwide to engage in academic communication. All the papers collected here present original ideas, methods and results of general significance supported by clear reasoning and compelling evidence, and as such the book represents a valuable and wide ranging reference resource of interest to all those whose work involves fuzzy systems and data mining.

Author : Piotr Prokopowicz,Jacek Czerniak,Dariusz Mikołajewski,Łukasz Apiecionek,Dominik Ślȩzak
Publisher : Springer
Page : 322 pages
File Size : 44,5 Mb
Release : 2017-10-18
Category : Technology & Engineering
ISBN : 9783319596143

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Theory and Applications of Ordered Fuzzy Numbers by Piotr Prokopowicz,Jacek Czerniak,Dariusz Mikołajewski,Łukasz Apiecionek,Dominik Ślȩzak Pdf

This book is open access under a CC BY 4.0 license. This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications. The respective chapters, written by leading researchers, discuss the main techniques and applications, together with the advantages and shortcomings of these tools in comparison to other fuzzy number representation models. Primarily intended for engineers and researchers in the field of fuzzy arithmetic, the book also offers a valuable source of basic information on fuzzy models and an easy-to-understand reference guide to their applications for advanced undergraduate students, operations researchers, modelers and managers alike.

Author : Bing-Yuan Cao,Xiang-Jun Xie
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 54,9 Mb
Release : 2012-06-30
Category : Technology & Engineering
ISBN : 9783642285929

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Fuzzy Engineering and Operations Research by Bing-Yuan Cao,Xiang-Jun Xie Pdf

“Fuzzy Engineering and Operations Research” is the edited outcome of the 5th International Conference on Fuzzy Information and Engineering (ICFIE2011) held during Oct. 15-17, 2011 in Chengdu, China and by the 1st academic conference in establishment of Guangdong Province Operations Research Society (GDORSC) held on Oct. 20, 2011 in Guangzhou, China. The 5th ICFIE2011, built on the success of previous conferences, and the GDORC, first held, are major Symposiums, respectively, for scientists, engineers practitioners and Operation Research (OR) researchers presenting their updated results, developments and applications in all areas of fuzzy information and engineering and OR. It aims to strengthen relations between industry research laboratories and universities, and to create a primary symposium for world scientists in Fuzziology and OR fields. The book contains 62 papers and is divided into five main parts: “Fuzzy Optimization, Logic and Information”, “The mathematical Theory of Fuzzy Systems”, “Fuzzy Engineering Applications and Soft Computing Methods”, “OR and Fuzziology” and “Guess and Review”.

Author : Madhumangal Pal,Sovan Samanta,Ganesh Ghorai
Publisher : Springer Nature
Page : 323 pages
File Size : 45,7 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9789811588037

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Modern Trends in Fuzzy Graph Theory by Madhumangal Pal,Sovan Samanta,Ganesh Ghorai Pdf

This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more. Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interested in new developments in fuzzy logic and applied mathematics.

Author : Cengiz Kahraman,Uzay Uzay Kaymak,Adnan Yazici
Publisher : Springer
Page : 406 pages
File Size : 52,7 Mb
Release : 2016-05-17
Category : Technology & Engineering
ISBN : 9783319310930

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Fuzzy Logic in Its 50th Year by Cengiz Kahraman,Uzay Uzay Kaymak,Adnan Yazici Pdf

This book offers a multifaceted perspective on fuzzy set theory, discussing its developments over the last 50 years. It reports on all types of fuzzy sets, from ordinary to hesitant fuzzy sets, with each one explained by its own developers, authoritative scientists well known for their previous works. Highlighting recent theorems and proofs, the book also explores how fuzzy set theory has come to be extensively used in almost all branches of science, including the health sciences, decision science, earth science and the social sciences alike. It presents a wealth of real-world sample applications, from routing problem to robotics, and from agriculture to engineering. By offering a comprehensive, timely and detailed portrait of the field, the book represents an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on new fuzzy set extensions.

Author : Zeungnam Bien,K.C. Min
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400901254

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Fuzzy Logic and its Applications to Engineering, Information Sciences, and Intelligent Systems by Zeungnam Bien,K.C. Min Pdf

Fuzzy technology has emerged as one of the most exciting new concepts available. Fuzzy Logic and its Applications... covers a wide range of the theory and applications of fuzzy logic and related systems, including industrial applications of fuzzy technology, implementing human intelligence in machines and systems. There are four main themes: intelligent systems, engineering, mathematical foundations, and information sciences. Both academics and the technical community will learn how and why fuzzy logic is appreciated in the conceptual, design and manufacturing stages of intelligent systems, gaining an improved understanding of the basic science and the foundations of human reasoning.

Author : Atanu Sengupta,Tapan Kumar Pal
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 49,9 Mb
Release : 2009-03-13
Category : Mathematics
ISBN : 9783540899143

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Fuzzy Preference Ordering of Interval Numbers in Decision Problems by Atanu Sengupta,Tapan Kumar Pal Pdf

In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in an imprecise and uncertain environment, it will be utmost unrealistic to assume that the knowledge and representation of an expert can come in a precise way. The wider objective of the book is to study different real decision situations where problems are defined in inexact environment. Inexactness are mainly generated in two ways – (1) due to imprecise perception and knowledge of the human expert followed by vague representation of knowledge as a DM; (2) due to huge-ness and complexity of relations and data structure in the definition of the problem situation. We use interval numbers to specify inexact or imprecise or uncertain data. Consequently, the study of a decision problem requires answering the following initial questions: How should we compare and define preference ordering between two intervals?, interpret and deal inequality relations involving interval coefficients?, interpret and make way towards the goal of the decision problem? The present research work consists of two closely related fields: approaches towards defining a generalized preference ordering scheme for interval attributes and approaches to deal with some issues having application potential in many areas of decision making.

Author : Phillip A. Laplante
Publisher : CRC Press
Page : 1013 pages
File Size : 41,9 Mb
Release : 2017-10-02
Category : Computers
ISBN : 9781351652490

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Encyclopedia of Computer Science and Technology by Phillip A. Laplante Pdf

With breadth and depth of coverage, the Encyclopedia of Computer Science and Technology, Second Edition has a multi-disciplinary scope, drawing together comprehensive coverage of the inter-related aspects of computer science and technology. The topics covered in this encyclopedia include: General and reference Hardware Computer systems organization Networks Software and its engineering Theory of computation Mathematics of computing Information systems Security and privacy Human-centered computing Computing methodologies Applied computing Professional issues Leading figures in the history of computer science The encyclopedia is structured according to the ACM Computing Classification System (CCS), first published in 1988 but subsequently revised in 2012. This classification system is the most comprehensive and is considered the de facto ontological framework for the computing field. The encyclopedia brings together the information and historical context that students, practicing professionals, researchers, and academicians need to have a strong and solid foundation in all aspects of computer science and technology.

Author : Alexander Vitalievich Bozhenyuk,Evgeniya Michailovna Gerasimenko,Janusz Kacprzyk,Igor Naymovich Rozenberg
Publisher : Springer
Page : 168 pages
File Size : 54,7 Mb
Release : 2016-07-30
Category : Technology & Engineering
ISBN : 9783319416182

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Flows in Networks Under Fuzzy Conditions by Alexander Vitalievich Bozhenyuk,Evgeniya Michailovna Gerasimenko,Janusz Kacprzyk,Igor Naymovich Rozenberg Pdf

This book offers a comprehensive introduction to fuzzy methods for solving flow tasks in both transportation and networks. It analyzes the problems of minimum cost and maximum flow finding with fuzzy nonzero lower flow bounds, and describes solutions to minimum cost flow finding in a network with fuzzy arc capacities and transmission costs. After a concise introduction to flow theory and tasks, the book analyzes two important problems. The first is related to determining the maximum volume for cargo transportation in the presence of uncertain network parameters, such as environmental changes, measurement errors and repair work on the roads. These parameters are represented here as fuzzy triangular, trapezoidal numbers and intervals. The second problem concerns static and dynamic flow finding in networks under fuzzy conditions, and an effective method that takes into account the network’s transit parameters is presented here. All in all, the book provides readers with a practical reference guide to state-of-the art fuzzy methods for solving flow tasks and offers a valuable resource for all researchers and postgraduate students in the fields of network theory, fuzzy models and decision-making.

Author : Janusz Kacprzyk,Eulalia Szmidt,Sławomir Zadrożny,Krassimir T. Atanassov,Maciej Krawczak
Publisher : Springer
Page : 712 pages
File Size : 47,5 Mb
Release : 2017-08-30
Category : Technology & Engineering
ISBN : 9783319668307

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Advances in Fuzzy Logic and Technology 2017 by Janusz Kacprzyk,Eulalia Szmidt,Sławomir Zadrożny,Krassimir T. Atanassov,Maciej Krawczak Pdf

This volume constitutes the proceedings of two collocated international conferences: EUSFLAT-2017 – the 10th edition of the flagship Conference of the European Society for Fuzzy Logic and Technology held in Warsaw, Poland, on September 11–15, 2017, and IWIFSGN’2017 – The Sixteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, held in Warsaw on September 13–15, 2017. The conferences were organized by the Systems Research Institute, Polish Academy of Sciences, Department IV of Engineering Sciences, Polish Academy of Sciences, and the Polish Operational and Systems Research Society in collaboration with the European Society for Fuzzy Logic and Technology (EUSFLAT), the Bulgarian Academy of Sciences and various European universities. The aim of the EUSFLAT-2017 was t o bring together theoreticians and practitioners working on fuzzy logic, fuzzy systems, soft computing and related areas and to provide a platform for exchanging ideas and discussing the latest trends and ideas, while the aim of IWIFSGN’2017 was to discuss new developments in extensions of the concept of a fuzzy set, such as an intuitionistic fuzzy set, as well as other concepts, like that of a generalized net. The papers included, written by leading international experts, as well as the special sessions and panel discussions contribute to the development the field, strengthen collaborations and intensify networking.

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 54,5 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781489916334

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Fuzzy Sets and Interactive Multiobjective Optimization by Masatoshi Sakawa Pdf

The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob servation, in multiobjective optimization, the notion of Pareto optimality or effi ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

Author : George Bojadziev,Maria Bojadziev
Publisher : World Scientific
Page : 300 pages
File Size : 40,9 Mb
Release : 1996-01-09
Category : Computers
ISBN : 9789814499941

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Fuzzy Sets, Fuzzy Logic, Applications by George Bojadziev,Maria Bojadziev Pdf

Fuzzy sets and fuzzy logic are powerful mathematical tools for modeling and controlling uncertain systems in industry, humanity, and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics.The unique feature of the book is twofold: 1) It is the first introductory course (with examples and exercises) which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. 2) It is designed to serve as a basic text for introducing engineers and scientists from various fields to the theory of fuzzy sets and fuzzy logic, thus enabling them to initiate projects and make applications.

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 248 pages
File Size : 52,9 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599731858

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Special Dual Like Numbers and Lattices by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf