Arithmetic Of Z Numbers The Theory And Applications

Author : Rafik Aziz Aliev
Publisher : World Scientific
ISBN 13 : 981467530X
Total Pages : 316 pages
Book Rating : 4.07/5 ( download)

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Download or read book Arithmetic Of Z-numbers, The: Theory And Applications written by Rafik Aziz Aliev and published by World Scientific. This book was released on 2015-05-08 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-world information is imperfect and is usually described in natural language (NL). Moreover, this information is often partially reliable and a degree of reliability is also expressed in NL. In view of this, the concept of a Z-number is a more adequate concept for the description of real-world information. The main critical problem that naturally arises in processing Z-numbers-based information is the computation with Z-numbers. Nowadays, there is no arithmetic of Z-numbers suggested in existing literature.This book is the first to present a comprehensive and self-contained theory of Z-arithmetic and its applications. Many of the concepts and techniques described in the book, with carefully worked-out examples, are original and appear in the literature for the first time.The book will be helpful for professionals, academics, managers and graduate students in fuzzy logic, decision sciences, artificial intelligence, mathematical economics, and computational economics.

Author : R. A. Aliev
Publisher : World Scientific Publishing Company
ISBN 13 : 9789814675284
Total Pages : 301 pages
Book Rating : 4.88/5 ( download)

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Download or read book The Arithmetic of Z-numbers written by R. A. Aliev and published by World Scientific Publishing Company. This book was released on 2015 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-world information is imperfect and is usually described in natural language (NL). Moreover, this information is often partially reliable and a degree of reliability is also expressed in NL. In view of this, the concept of a Z-number is a more adequate concept for the description of real-world information. The main critical problem that naturally arises in processing Z-numbers-based information is the computation with Z-numbers. Nowadays, there is no arithmetic of Z-numbers suggested in existing literature. This book is the first to present a comprehensive and self-contained theory of Z-arithmetic and its applications. Many of the concepts and techniques described in the book, with carefully worked-out examples, are original and appear in the literature for the first time. The book will be helpful for professionals, academics, managers and graduate students in fuzzy logic, decision sciences, artificial intelligence, mathematical economics, and computational economics.

Author : Cem Y. Yildrim
Publisher : CRC Press
ISBN 13 : 1000657418
Total Pages : 364 pages
Book Rating : 4.18/5 ( download)

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Download or read book Number Theory and Its Applications written by Cem Y. Yildrim and published by CRC Press. This book was released on 2020-03-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented as lectures at a summer school held at Bilkent University, Ankara, Turkey.

Author : Álvaro Lozano-Robledo
Publisher : American Mathematical Soc.
ISBN 13 : 147045016X
Total Pages : 488 pages
Book Rating : 4.68/5 ( download)

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Download or read book Number Theory and Geometry: An Introduction to Arithmetic Geometry written by Álvaro Lozano-Robledo and published by American Mathematical Soc.. This book was released on 2019-03-21 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively. This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.

Author : Rafik A. Aliev
Publisher : Springer Nature
ISBN 13 : 3030640582
Total Pages : 850 pages
Book Rating : 4.83/5 ( download)

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Download or read book 14th International Conference on Theory and Application of Fuzzy Systems and Soft Computing – ICAFS-2020 written by Rafik A. Aliev and published by Springer Nature. This book was released on 2021-01-04 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 14th International Conference on Applications of Fuzzy Systems, Soft Computing, and Artificial Intelligence Tools, ICAFS-2020, held in Budva, Montenegro, on August 27–28, 2020. It includes contributions from diverse areas of fuzzy systems, soft computing, AI tools such as uncertain computation, decision making under imperfect information, deep learning and others. The topics of the papers include theory and application of soft computing, neuro-fuzzy technology, intelligent control, deep learning–machine learning, fuzzy logic in data analytics, evolutionary computing, fuzzy logic and artificial intelligence in engineering, social sciences, business, economics, material sciences and others.

Author : Rafik A. Aliev
Publisher : Springer Nature
ISBN 13 : 3030352498
Total Pages : 997 pages
Book Rating : 4.93/5 ( download)

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Download or read book 10th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions - ICSCCW-2019 written by Rafik A. Aliev and published by Springer Nature. This book was released on 2019-11-19 with total page 997 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 10th Conference on Theory and Applications of Soft Computing, Computing with Words and Perceptions, ICSCCW 2019, held in Prague, Czech Republic, on August 27–28, 2019. It includes contributions from diverse areas of soft computing and computing with words, such as uncertain computation, decision-making under imperfect information, neuro-fuzzy approaches, deep learning, natural language processing, and others. The topics of the papers include theory and applications of soft computing, information granulation, computing with words, computing with perceptions, image processing with soft computing, probabilistic reasoning, intelligent control, machine learning, fuzzy logic in data analytics and data mining, evolutionary computing, chaotic systems, soft computing in business, economics and finance, fuzzy logic and soft computing in earth sciences, fuzzy logic and soft computing in engineering, fuzzy logic and soft computing in material sciences, soft computing in medicine, biomedical engineering, and pharmaceutical sciences. Showcasing new ideas in the field of theories of soft computing and computing with words and their applications in economics, business, industry, education, medicine, earth sciences, and other fields, it promotes the development and implementation of these paradigms in various real-world contexts. This book is a useful guide for academics, practitioners and graduates.

Author : Amir Akbary
Publisher : Springer
ISBN 13 : 3319973797
Total Pages : 528 pages
Book Rating : 4.91/5 ( download)

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Download or read book Geometry, Algebra, Number Theory, and Their Information Technology Applications written by Amir Akbary and published by Springer. This book was released on 2018-09-18 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

Author : Aliev Rafig Aziz
Publisher : World Scientific
ISBN 13 : 9814611050
Total Pages : 468 pages
Book Rating : 4.53/5 ( download)

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Download or read book Decision Theory With Imperfect Information written by Aliev Rafig Aziz and published by World Scientific. This book was released on 2014-08-08 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every day decision making in complex human-centric systems are characterized by imperfect decision-relevant information. The principal problems with the existing decision theories are that they do not have capability to deal with situations in which probabilities and events are imprecise. In this book, we describe a new theory of decision making with imperfect information. The aim is to shift the foundation of decision analysis and economic behavior from the realm bivalent logic to the realm fuzzy logic and Z-restriction, from external modeling of behavioral decisions to the framework of combined states.This book will be helpful for professionals, academics, managers and graduate students in fuzzy logic, decision sciences, artificial intelligence, mathematical economics, and computational economics.

Author : Rafik A. Aliev
Publisher : Springer
ISBN 13 : 3030041646
Total Pages : 970 pages
Book Rating : 4.49/5 ( download)

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Download or read book 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 written by Rafik A. Aliev and published by Springer. This book was released on 2018-12-28 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 13th International Conference on Application of Fuzzy Systems and Soft Computing (ICAFS 2018), held in Warsaw, Poland on August 27–28, 2018. It includes contributions from diverse areas of soft computing such as uncertain computation, Z-information processing, neuro-fuzzy approaches, evolutionary computing and others. The topics of the papers include theory of uncertainty computation; theory and application of soft computing; decision theory with imperfect information; neuro-fuzzy technology; image processing with soft computing; intelligent control; machine learning; fuzzy logic in data analytics and data mining; evolutionary computing; chaotic systems; soft computing in business, economics and finance; fuzzy logic and soft computing in the earth sciences; fuzzy logic and soft computing in engineering; soft computing in medicine, biomedical engineering and the pharmaceutical sciences; and probabilistic and statistical reasoning in the social and educational sciences. The book covers new ideas from theoretical and practical perspectives in economics, business, industry, education, medicine, the earth sciences and other fields. In addition to promoting the development and application of soft computing methods in various real-life fields, it offers a useful guide for academics, practitioners, and graduates in fuzzy logic and soft computing fields.

Author : W C Winnie Li
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104856
Total Pages : 244 pages
Book Rating : 4.53/5 ( download)

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Download or read book Number Theory with Applications written by W C Winnie Li and published by World Scientific Publishing Company. This book was released on 1996-02-16 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel and important applications of number theory to graph theory and vice versa had been made in the past decade. The two main tools used are based on the estimates of character sums and the estimates of the eigenvalues of Hecke operators, both are rooted in the celebrated Weil conjectures settled by Deligne in 1973. The purpose of this book is to give, from scratch, a coherent and comprehensive introduction to the topics in number theory related to the central tools, with the ultimate goal of presenting their applications. This book includes many important subjects in number theory, such as Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory. Request Inspection Copy