Uncertain Information and Linear Systems

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.

Introduction.- Uncertainty.- Uncertain Linear systems.- Linear equations with advanced uncertainty.

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.