Making decisions in conditions of fuzzy and blurry data: Fuzzy technology. Zak Yu.A.

This book is devoted to the use of fuzzy sets and FUZZY technologies in the tasks of the management of technical and economic systems, in the problems of multi-criteria choice, in cluster and regression analysis, in the tasks of technical and medical diagnostics, as well as at risk assessing complex decisions in financial and the production sphere, in particular, when analyzing the effectiveness of investments in various projects and in the securities market, assessing the degree of bankruptcy of enterprises and managing complex projects.

The forms of representation of fuzzy sets, the properties of the functions of belonging, linguistic variables, and Fuzzy operators are considered -lologists and fuzzy arithmetic. The productions, mathematical models and algorithms for solving a large number of applied tasks of making permissible and effective decisions in conditions of fuzzy and blurry data. The main provisions are illustrated by geometric interpretation and numerical examples.

The book is intended for experts in applied mathematics and the study of operations working in the field of technical systems, the use of mathematical methods in solving logistics problems, analyzing risks of decisions, as well as for Engineers, economists, managers and managers of firms and enterprises engaged in business projects, employees of financial companies and marketing specialists. The book can also be used as a training manual for engineers and economists of the corresponding specialties.