Core for Game with Fuzzy Generalized Triangular Payoff Value

In this paper, we investigate cooperative game with fuzzy payoff value in the generalized triangular fuzzy number directly. Based on the fuzzy max order, we define three kinds of fuzzy cores, i.e., fuzzy strong core, fuzzy non-dominated core and fuzzy weak core. All three kinds of fuzzy cores can be regarded as the generalization of crisp core. Convexity is one of the sufficient conditions for the existence of fuzzy core. By the balanced cooperative game, a necessary and sufficient existence condition of fuzzy strong core is also given. Further, the fuzzy strong core is represented by crisp core, and the relationship between fuzzy strong core and crisp one is shown. For the fuzzy non-dominated core and fuzzy weak core, we show their necessary and sufficient existence condition, and their properties to construct the fuzzy imputations. Hence, the verification of fuzzy non-dominated core and fuzzy weak core become easier. The above three fuzzy cores are all the extensions of crisp core, but their stable conditions are not different. The weak core is least restricted, but is least stable. Hence, we could choose the fuzzy core according the stable neediness of fuzzy cooperative game.

The (Difficult) Universality of Economic and Social Rights

This chapter argues that there are strong reasons to be concerned with the universality of economic and social rights. The main reasons are that, firstly, the existence of human rights cannot be determined without reference to concrete conditions of life, and that, secondly, concrete conditions of life are today not sufficiently similar across the world to justify all human beings possessing the economic and social rights asserted in human rights doctrine. The chapter also raises some concerns about the emphasis placed by political approaches on the role that human rights are intended to play in global political life. Underlying this emphasis is the idea that universality is a necessary but not a sufficient existence condition for human rights: in order for a right to qualify as a human right, it must not only be universal, but it must also be important enough to justify an international response.

Generalized Green’s functions for second-order discrete boundary-value problems with nonlocal boundary conditions

In this paper, generalized Green’s functions for second-order discrete boundaryvalueproblems with nonlocal boundary conditions are investigated, where the necessaryand sufficient existence condition of discrete Green’s function is not satisfied and nonlocalboundary conditions are described by linear functionals.

Gain Scheduled Filtering Design for Parameter Varying System

In this paper, the problem of gain-scheduled H8 filter design for a class of parameter-varying systems with time-varying delays is discussed. An improved stability and H8-performance condition of the augmented system is developed. A sufficient existence condition of a desired gain-scheduled H8 filter is derived and expressed in terms of feasibility testing of linear matrix inequalities (LMIs) and explicit expressions of the filter gains are provided. Numerical simulations are presented to demonstrate the effectiveness of the proposed design method.