The Category Of Hesitant H Fuzzy Sets

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The category of hesitant H-fuzzy sets

Author : J. H. Kim
Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis The category of hesitant H-fuzzy sets by : J. H. Kim

Download or read book The category of hesitant H-fuzzy sets written by J. H. Kim and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: We rede fine the hesitant fuzzy empty set, the hesitant fuzzy whole set, the intersection and the union of two hesitant fuzzy sets, and prove that the family HS(X) of all hesitant fuzzy sets in a set X is a Boolean algebra. Next, we introduce the category HSet(H) consisting of hesitant H-fuzzy spaces and preserving mappings between them and study the category HSet(H) in the sense of a topological universe and prove that it is Cartesian closed over Set (See Theorem 4.15), where Set denotes the category consisting of ordinary sets and ordinary mappings between them.

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.

Hesitant Fuzzy Set

Author : Bahram Farhadinia
Publisher : Springer Nature
ISBN 13 : 9811673012
Total Pages : 162 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Hesitant Fuzzy Set by : Bahram Farhadinia

Download or read book Hesitant Fuzzy Set written by Bahram Farhadinia and published by Springer Nature. This book was released on 2021-12-04 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a wide range of notions concerning hesitant fuzzy set and its extensions, this book provides a comprehensive reference to the topic. In the case where different sources of vagueness appear simultaneously, the concept of fuzzy set is not able to properly model the uncertainty, imprecise and vague information. In order to overcome such a limitation, different types of fuzzy extension have been introduced so far. Among them, hesitant fuzzy set was first introduced in 2010, and the existing extensions of hesitant fuzzy set have been encountering an increasing interest and attracting more and more attentions up to now. It is not an exaggeration to say that the recent decade has seen the blossoming of a larger set of techniques and theoretical outcomes for hesitant fuzzy set together with its extensions as well as applications.As the research has moved beyond its infancy, and now it is entering a maturing phase with increased numbers and types of extensions, this book aims to give a comprehensive review of such researches. Presenting the review of many and important types of hesitant fuzzy extensions, and including references to a large number of related publications, this book will serve as a useful reference book for researchers in this field.

Fuzzy Sets, Rough Sets, Multisets and Clustering

Author : Vicenç Torra
Publisher : Springer
ISBN 13 : 3319475576
Total Pages : 347 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Fuzzy Sets, Rough Sets, Multisets and Clustering by : Vicenç Torra

Download or read book Fuzzy Sets, Rough Sets, Multisets and Clustering written by Vicenç Torra and published by Springer. This book was released on 2017-01-13 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to Prof. Sadaaki Miyamoto and presents cutting-edge papers in some of the areas in which he contributed. Bringing together contributions by leading researchers in the field, it concretely addresses clustering, multisets, rough sets and fuzzy sets, as well as their applications in areas such as decision-making. The book is divided in four parts, the first of which focuses on clustering and classification. The second part puts the spotlight on multisets, bags, fuzzy bags and other fuzzy extensions, while the third deals with rough sets. Rounding out the coverage, the last part explores fuzzy sets and decision-making.

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.

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.

Analytic Hierarchy Process with Fuzzy Sets Extensions

Author : Cengiz Kahraman
Publisher : Springer Nature
ISBN 13 : 3031394380
Total Pages : 425 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Analytic Hierarchy Process with Fuzzy Sets Extensions by : Cengiz Kahraman

Download or read book Analytic Hierarchy Process with Fuzzy Sets Extensions written by Cengiz Kahraman and published by Springer Nature. This book was released on 2023-10-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive guide to Analytic Hierarchy Process with Fuzzy Sets Extensions. Written by prominent researchers, it offers readers a step-by-step approach to decision-making that can be applied to a wide range of real-world problems. With clear explanations and practical examples, this book is an essential resource for researchers, lecturers, and postgraduate students pursuing research on Analytic Hierarchy Process with Fuzzy Sets Extensions. Each chapter in the book provides a wealth of both basic and advanced concepts, including Interval Type-2 Fuzzy AHP, Intuitionistic Fuzzy AHP, Hesitant Fuzzy AHP, Pythagorean Fuzzy AHP, Picture Fuzzy AHP, q-Rung Orthopair Fuzzy AHP, Spherical Fuzzy AHP, Circular Intuitionistic Fuzzy AHP, and Decomposed Fuzzy AHP. To foster a better understanding, all the chapters include relevant numerical examples or case studies, making it easy to apply the concepts in practice. Moreover, the book extends all the main aspects of Analytic Hierarchy Process with Fuzzy Sets Extensions, presenting a dynamic snapshot of the field that is expected to stimulate new directions, ideas, and developments. In summary, this book is an essential reference guide for anyone seeking to gain a deep understanding of Analytic Hierarchy Process with Fuzzy Sets Extensions. It is written in a rigorous and scholarly manner, making it a valuable resource for researchers and academics. Order your copy today and discover the practical insights and strategies for decision-making offered by this authoritative volume.

Fuzzy Logic in Its 50th Year

Author : Cengiz Kahraman
Publisher : Springer
ISBN 13 : 3319310933
Total Pages : 406 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Fuzzy Logic in Its 50th Year by : Cengiz Kahraman

Download or read book Fuzzy Logic in Its 50th Year written by Cengiz Kahraman and published by Springer. This book was released on 2016-05-17 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

International Conference on Oriental Thinking and Fuzzy Logic

Author : Bing-Yuan Cao
Publisher : Springer
ISBN 13 : 3319308742
Total Pages : 707 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis International Conference on Oriental Thinking and Fuzzy Logic by : Bing-Yuan Cao

Download or read book International Conference on Oriental Thinking and Fuzzy Logic written by Bing-Yuan Cao and published by Springer. This book was released on 2016-06-18 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings book presents edited results of the eighth International Conference on Fuzzy Information and Engineering (ICFIE'2015) and on Oriental Thinking and Fuzzy Logic, in August 17-20, 2015, in Dalian, China. The book contains 65 high-quality papers and is divided into six main parts: "Fuzzy Information Processing", "Fuzzy Engineering", "Internet and Big Data Applications", "Factor Space and Factorial Neural Networks", "Information Granulation and Granular Computing" as well as "Extenics and Innovation Methods".

Industrial Engineering in the Big Data Era

Author : Fethi Calisir
Publisher : Springer
ISBN 13 : 3030033171
Total Pages : 513 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Industrial Engineering in the Big Data Era by : Fethi Calisir

Download or read book Industrial Engineering in the Big Data Era written by Fethi Calisir and published by Springer. This book was released on 2019-01-23 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers extended versions of the best papers presented at the Global Joint Conference on Industrial Engineering and Its Application Areas (GJCIE), held in Nevsehir, Turkey, on June 21-22, 2018. They reports on industrial engineering methods and applications, with a special focus on the advantages and challenges posed by Big data in this field. The book covers a wide range of topics, including decision making, optimization, supply chain management and quality control.

Advances in Fuzzy Logic and Technology 2017

Author : Janusz Kacprzyk
Publisher : Springer
ISBN 13 : 3319668307
Total Pages : 712 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Advances in Fuzzy Logic and Technology 2017 by : Janusz Kacprzyk

Download or read book Advances in Fuzzy Logic and Technology 2017 written by Janusz Kacprzyk and published by Springer. This book was released on 2017-08-30 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pythagorean Fuzzy Sets

Author : Harish Garg
Publisher : Springer Nature
ISBN 13 : 9811619891
Total Pages : 443 pages
Book Rating : 4.8/5 (116 download)

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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.

Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making

Author : Cengiz Kahraman
Publisher : Springer
ISBN 13 : 3030237567
Total Pages : 1392 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making by : Cengiz Kahraman

Download or read book Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making written by Cengiz Kahraman and published by Springer. This book was released on 2019-07-05 with total page 1392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the proceedings of the Intelligent and Fuzzy Techniques INFUS 2019 Conference, held in Istanbul, Turkey, on July 23–25, 2019. Big data analytics refers to the strategy of analyzing large volumes of data, or big data, gathered from a wide variety of sources, including social networks, videos, digital images, sensors, and sales transaction records. Big data analytics allows data scientists and various other users to evaluate large volumes of transaction data and other data sources that traditional business systems would be unable to tackle. Data-driven and knowledge-driven approaches and techniques have been widely used in intelligent decision-making, and they are increasingly attracting attention due to their importance and effectiveness in addressing uncertainty and incompleteness. INFUS 2019 focused on intelligent and fuzzy systems with applications in big data analytics and decision-making, providing an international forum that brought together those actively involved in areas of interest to data science and knowledge engineering. These proceeding feature about 150 peer-reviewed papers from countries such as China, Iran, Turkey, Malaysia, India, USA, Spain, France, Poland, Mexico, Bulgaria, Algeria, Pakistan, Australia, Lebanon, and Czech Republic.

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.

Fuzzy Lie Algebras

Author : Muhammad Akram
Publisher : Springer
ISBN 13 : 9811332215
Total Pages : 302 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Fuzzy Lie Algebras by : Muhammad Akram

Download or read book Fuzzy Lie Algebras written by Muhammad Akram and published by Springer. This book was released on 2018-12-30 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists. Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.

Type-2 Fuzzy Decision-Making Theories, Methodologies and Applications

Author : Jindong Qin
Publisher : Springer
ISBN 13 : 9811398917
Total Pages : 271 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Type-2 Fuzzy Decision-Making Theories, Methodologies and Applications by : Jindong Qin

Download or read book Type-2 Fuzzy Decision-Making Theories, Methodologies and Applications written by Jindong Qin and published by Springer. This book was released on 2019-08-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates the type-2 fuzzy sets and multiple criteria decision making analysis in recent years and offers an authoritative treatise on the essential topics, both at the theoretical and applied end. In this book, some basic theory, type-2 fuzzy sets, methodology, algorithms, are introduced and then some compelling case studies in decision problems are covered in depth. The authors offer an authoritative treatise on the essential topics, both at the theoretical and applied end; In a systematic and logically organized way, the book exposes the reader to the essentials of the theory of type-2 fuzzy sets, methodology, algorithms, and their applications. Numerous techniques of decision making are carefully generalized by bringing the ideas of type-2 fuzzy sets; this concerns well-known methods including TOPSIS, Analytical Network Process, TODIM, and VIKOR. This book exposes the readers to the essentials of the theory of type-2 fuzzy sets, methodology, algorithms, and their applications.

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Author : Jana, Chiranjibe
Publisher : IGI Global
ISBN 13 : 1799801926
Total Pages : 439 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by : Jana, Chiranjibe

Download or read book Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures written by Jana, Chiranjibe and published by IGI Global. This book was released on 2019-10-25 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.