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This paper investigates the single period inventory Newsboy problem in a general uncertain environment. Here it is assumed that the uncertainty appears in the market demand of the product. Uncertain demand is used to describe a subjective estimate (not estimated by random/fuzzy demand), linguistically expressed by ''demand is about n''. Using identification… (More)

Keywords: Credibility theory Production planning Optimal control Fuzzy control system Liu process a b s t r a c t A considerable part of the literature on fuzzy sets is devoted to the field of fuzzy control system. In this paper, an alternative control system is introduced to describe a dynamic system with fuzzy white noise. In order to find optimal ways to… (More)

Facility location-allocation (FLA) problem, which has been proved to be a valuable method in siting service facility, is widely used in real life, such as emergency service systems, telecommunication networks, public services, etc. However, in real-world situations, the decision maker often lack the information about the customers' demands, which leads to… (More)

Numerous empirical studies show that portfolio returns are generally asymmetric, and investors would prefer a portfolio return with larger degree of asymmetry when the mean value and variance are same. In order to measure the asymmetry of fuzzy portfolio return, a concept of skewness is defined as the third central moment in this paper, and its mathematical… (More)

A complex stochastic process is a fundamental connection between two dimensional stochastic processes. Similarly, a complex fuzzy process is proposed and the complex differential and complex Liu integral of complex Liu process are studied in this paper. Especially, some properties of analytic functions of complex Liu process are proved. Finally, complex… (More)