Dmitriy Nazarov, Ph.D. in Economics, head of the USUE Department of Business Informatics of the Institute of Management and Information Technology, co-authored with Ludmila Konysheva, PhD, associate professor at the Department of Social Sciences and Humanities of Missionary Institute, issued a manual for Bachelor’s studies «Intelligent Systems: Fundamentals of the Theory of Fuzzy Sets».
The manual is an introduction to the theory of fuzzy sets — the most «fashionable» section of modern mathematics. The set theory, a relatively young branch of mathematics, quickly finds application in almost all spheres of activity: it is a modern formalization apparatus for various types of uncertainties that arise when modeling the broadest class of real-life objects of any nature. Within the framework of the theory, methods for formalizing meaningful concepts have been developed, which makes it possible to apply the theory in traditionally «humanitarian» areas, such as economics.
The mathematical apparatus of the theory of fuzzy sets allows modeling the reasoning of a person, which means that the scope of the theory is so broad that it concerns both technical and humanitarian problems. In the book considers fuzzy sets and numbers, operations with them, binary correspondences and relations, and concepts of the linguistic variable with reference to the problems of management, finance, and marketing.
The manual is designed to fill the lack of study books on the theories of fuzzy sets and its applications. Working with the book will help learn the material and apply it in practice; it provides detailed solutions to problems and presents their implementation in electronic spreadsheets. The material is accompanied by control questions and tasks for independent work and laboratory classes.
The manual is recommended by the Educational and Methodical Department of Higher Education for university students training in engineering and technical areas, as well as the by the Educational and Methodological Association for Education in Applied Informatics for university students who major in Applied Computer Science and other economic specialties.