Uncertain Information and Linear Systems

1. Front Matter

   Pages i-x

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2. Introduction

   • Tofigh Allahviranloo

   Pages 1-7

3. Uncertainty

   • Tofigh Allahviranloo

   Pages 9-60

4. Uncertain Linear Systems

   • Tofigh Allahviranloo

   Pages 61-209

5. Advanced Uncertainty and Linear Equations

   • Tofigh Allahviranloo

   Pages 211-254

6. Back Matter

   Pages 255-257

   PDF

This book identifies the important uncertainties to use in real-world problem modeling. Having information about several types of ambiguities, vagueness, and uncertainties is vital in modeling problems that involve linguistic variables, parameters, and word computing. Today, since most of our real-world problems are related to decision-making at the right time, we need to apply intelligent decision science. Clearly, in order to have an appropriate and flexible mathematical model, every intelligent system requires real data on our environment. Presenting problems that can be represented using mathematical models to create a system of linear equations, this book discusses the latest insights into uncertain information.

• Uncertain Information
• Linear Systems
• Fuzzy Systems
• Linear Equations
• Linear Differential Equations
• Fuzziness

“The book is well organized and presents the most important notions of uncertain information and linear systems. The book is suitable for senior undergraduate students as well as practical engineers, scientist and researchers interested in uncertain information and linear systems.” (Seenith Sivasundaram, zbMATH 1431.93002, 2020)

• Faculty of Engineering and Natural Sciences, Bahçeşehir University, Istanbul, Turkey

  Tofigh Allahviranloo

Tofigh Allahviranloo is a Senior Full Professor of Applied Mathematics at Bahcesehir International University (BAU). As a mathematician and computer scientist, Tofigh has developed a passion for multi- and interdisciplinary research. He not only pursues fundamental research in fuzzy applied mathematics, especially fuzzy differential equations, but also develops innovative applications in the applied biological sciences. He is a prolific author, with a bibliography comprising over 200 peer-reviewed journal papers, 11 books in Farsi, 3 book chapters, and 20 contributions to conference proceedings, accumulating close to 6000 Google Scholar citations (h-index 40). Tofigh actively serves the research community, in particular as editor-in-chief of the International Journal of Industrial Mathematics and as a member of the editorial board of several other journals, including Fuzzy Sets and Systems, the Journal of Intelligent and Fuzzy Systems, and Mathematical Science.

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