The Arithmetic of Z-Numbers

Theory and Applications

Nonfiction, Computers, Advanced Computing, Theory, Artificial Intelligence, General Computing
Cover of the book The Arithmetic of Z-Numbers by Rafik A Aliev, Oleg H Huseynov, Rashad R Aliyev;Akif A Alizadeh, World Scientific Publishing Company
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Author: Rafik A Aliev, Oleg H Huseynov, Rashad R Aliyev;Akif A Alizadeh ISBN: 9789814675307
Publisher: World Scientific Publishing Company Publication: May 8, 2015
Imprint: WSPC Language: English
Author: Rafik A Aliev, Oleg H Huseynov, Rashad R Aliyev;Akif A Alizadeh
ISBN: 9789814675307
Publisher: World Scientific Publishing Company
Publication: May 8, 2015
Imprint: WSPC
Language: English

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.

Contents:

  • The General Concept of a Restriction and Z-numbers
  • Definitions and Main Properties of Z-Numbers
  • Operations on Continuous Z-Numbers
  • Operations on Discrete Z-Numbers
  • Algebraic System of Z-Numbers
  • Z-Number Based Operation Research Problems
  • Application of Z-Numbers

Readership: Researchers, academics, professionals and graduate students in fuzzy logic, decision sciences and artificial intelligence.

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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.

Contents:

Readership: Researchers, academics, professionals and graduate students in fuzzy logic, decision sciences and artificial intelligence.

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