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Intuitionistic Fuzzy Calculus

Intuitionistic Fuzzy Calculus
Author: Qian Lei
Publisher: Springer
Total Pages: 176
Release: 2017-05-22
Genre: Technology & Engineering
ISBN: 331954148X

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This book offers a comprehensive and systematic review of the latest research findings in the area of intuitionistic fuzzy calculus. After introducing the intuitionistic fuzzy numbers’ operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral and definite integral of intuitionistic fuzzy functions. It also discusses some of the methods that have been successfully used to deal with continuous intuitionistic fuzzy information or data, which are different from the previous aggregation operators focusing on discrete information or data. Mainly intended for engineers and researchers in the fields of fuzzy mathematics, operations research, information science and management science, this book is also a valuable textbook for postgraduate and advanced undergraduate students alike.


Generalized Intuitionistic Multiplicative Fuzzy Calculus Theory and Applications

Generalized Intuitionistic Multiplicative Fuzzy Calculus Theory and Applications
Author: Shan Yu
Publisher: Springer Nature
Total Pages: 131
Release: 2020-05-29
Genre: Business & Economics
ISBN: 9811556121

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This book mainly introduces the latest development of generalized intuitionistic multiplicative fuzzy calculus and its application. The book pursues three major objectives: (1) to introduce the calculus models with concrete mathematical expressions for generalized intuitionistic multiplicative fuzzy information; (2) to introduce new information fusion methods based on the definite integral models; and (3) to clarify the involved approaches bymilitary case. The book is especially valuable for readers to understand how the theoretical framework of generalized intuitionistic multiplicative fuzzy calculus is constructed, not only discrete or continuous but also correlative (generalized) intuitionistic (multiplicative) fuzzy information is aggregated based on the definite integral models and the theory with a military practice is integrated, which would deepen the understanding and give researchers more inspiration in practical decision analysis under uncertainties.


Recent Advances in Intuitionistic Fuzzy Logic Systems

Recent Advances in Intuitionistic Fuzzy Logic Systems
Author: Said Melliani
Publisher: Springer
Total Pages: 320
Release: 2018-10-09
Genre: Technology & Engineering
ISBN: 3030021556

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This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco.


Intuitionistic Fuzzy Logics

Intuitionistic Fuzzy Logics
Author: Krassimir T. Atanassov
Publisher: Springer
Total Pages: 144
Release: 2016-12-10
Genre: Technology & Engineering
ISBN: 3319489534

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The book offers a comprehensive survey of intuitionistic fuzzy logics. By reporting on both the author’s research and others’ findings, it provides readers with a complete overview of the field and highlights key issues and open problems, thus suggesting new research directions. Starting with an introduction to the basic elements of intuitionistic fuzzy propositional calculus, it then provides a guide to the use of intuitionistic fuzzy operators and quantifiers, and lastly presents state-of-the-art applications of intuitionistic fuzzy sets. The book is a valuable reference resource for graduate students and researchers alike.


Fuzzy Relational Calculus: Theory, Applications And Software (With Cd-rom)

Fuzzy Relational Calculus: Theory, Applications And Software (With Cd-rom)
Author: Yordan Kostadinov Kyosev
Publisher: World Scientific
Total Pages: 305
Release: 2005-01-06
Genre: Computers
ISBN: 9814481572

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This book examines fuzzy relational calculus theory with applications in various engineering subjects. The scope of the text covers unified and exact methods with algorithms for direct and inverse problem resolution in fuzzy relational calculus. Extensive engineering applications of fuzzy relation compositions and fuzzy linear systems (linear, relational and intuitionistic) are discussed. Some examples of such applications include solutions of equivalence, reduction and minimization problems in fuzzy machines, pattern recognition in fuzzy languages, optimization and inference engines in textile and chemical engineering, etc. A comprehensive overview of the authors' original work in fuzzy relational calculus is also provided in each chapter.The attached CD-Rom contains a toolbox with many functions for fuzzy calculations, together with an original algorithm for inverse problem resolution in MATLAB. This book is also suitable for use as a textbook in related courses at advanced undergraduate and graduate levels.


Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics
Author: Said Melliani
Publisher: Springer Nature
Total Pages: 285
Release: 2020-10-12
Genre: Technology & Engineering
ISBN: 3030539296

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This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.


Fuzzy Mathematics

Fuzzy Mathematics
Author: Etienne E. Kerre
Publisher: MDPI
Total Pages: 287
Release: 2018-11-28
Genre: Electronic books
ISBN: 303897322X

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This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics


Fixed Point Theory and Fractional Calculus

Fixed Point Theory and Fractional Calculus
Author: Pradip Debnath
Publisher: Springer Nature
Total Pages: 358
Release: 2022-05-10
Genre: Mathematics
ISBN: 9811906688

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This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. It contains several useful tools and techniques to develop their skills and expertise in fixed-point theory and fractional calculus. New research directions are also indicated in chapters. This book is meant for graduate students and researchers willing to expand their knowledge in these areas. The minimum prerequisite for readers is the graduate-level knowledge of analysis, topology and functional analysis.


Discrete Mathematics and Symmetry

Discrete Mathematics and Symmetry
Author: Angel Garrido
Publisher: MDPI
Total Pages: 458
Release: 2020-03-05
Genre: Mathematics
ISBN: 3039281909

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Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.


Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences

Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences
Author: Pradip Debnath
Publisher: CRC Press
Total Pages: 232
Release: 2021-07-15
Genre: Computers
ISBN: 1000409813

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Soft computing techniques are no longer limited to the arena of computer science. The discipline has an exponentially growing demand in other branches of science and engineering and even into health and social science. This book contains theory and applications of soft computing in engineering, health, and social and applied sciences. Different soft computing techniques such as artificial neural networks, fuzzy systems, evolutionary algorithms and hybrid systems are discussed. It also contains important chapters in machine learning and clustering. This book presents a survey of the existing knowledge and also the current state of art development through original new contributions from the researchers. This book may be used as a one-stop reference book for a broad range of readers worldwide interested in soft computing. In each chapter, the preliminaries have been presented first and then the advanced discussion takes place. Learners and researchers from a wide variety of backgrounds will find several useful tools and techniques to develop their soft computing skills. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in any branch of soft computing. The readers of this book will require minimum prerequisites of undergraduate studies in computation and mathematics.