Random-like bi-level decision making (Q318834)

The main goal of reviewed book is presentation of random bi-level decision-making real problems and their solutions. The basic concepts of random and fuzzy variables are described in the first part of the Chapter 1. In my opinion, there defined RA-RA-variable is well-known conditional random variable, i.e. random variable with conditional distribution of probability [\textit{P. Billingsley}, Probability and measure. Chichester: John Wiley \& Sons Ltd. (1995; Zbl 0822.60002)]. Moreover, there defined RA-FU-variable is well-known fuzzy probabilistic set [\textit{K. Hirota}, Fuzzy Sets Syst. 5, No. 1, 31--36 (1981; Zbl 0442.60008)] in the real line. Additionally, in the Chapter 1, the authors describe the bi-level programming models. The Chapter 2 describes bi-level multi objective decision making problem in random environment. This model is applied to regional water resources allocation problem. The Chapter 3 presents bi-level multi objective decision making problem in conditional random environment. This model is applied for problem of transport flow distribution. The Chapter 4 introduces bi-level multi objective decision making problem in random environment under imprecision. This model is applied for construction site security planning problem. The chapter 5 summarizes methodologies adopted in this book from the point view of equilibrium. The monograph is legible enough because it contains too many abbreviations.