the shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. certainly, the shapley value can be used in interesting sharing cost/reward problems in the operations research area such as connection, routing, scheduling, production and inventory situations. in this paper, we focus on the shapl...

In the process of power transformer risk assessment, loss degree index is difficult to accurately quantify due influence uncertain factors, leading deviation judgment. A assessment method based on three-parameter interval grey number decision-making proposed. Firstly, fault probability quantified condition evaluation results. Secondly, considering uncertainty DG output and load, Nataf transform...

Uncertainty associated with fuzzy membership functions for a water quality management problem is addressed through interval grey numbers. The lower and upper bounds of the membership functions are expressed as interval grey numbers, and the membership functions are modeled as imprecise membership functions. A grey fuzzy optimization model for water quality management of a river system is develo...

-This paper proposes a grey interval relation TOPSIS method for the decision making in which all of the attribute weights and attribute values are given by the interval grey numbers. In this paper, all of the subjective and objective weights are obtained by interval grey number and decision-making is based on four methods such as the relative approach degree of grey TOPSIS, the relative approac...

The linear relationship of the original grey prediction model is too single, and does not consider time delay effect current input parameters on output parameters. In order to solve these problems, interval number sequence taken as modelling model, nonlinear parameter γ time-delay τ are introduced into multivariate so construct multivariable for number. view uncertain characteristics smog index...

This paper discusses the application of grey numbers for uncertainty representation. It highlights the difference between grey sets and interval-valued fuzzy sets, and investigates the degree of greyness for grey sets. It facilitates the representation of uncertainty not only for elements of a set, but also the set itself as a whole. Our results show that a grey set could be specified for inter...