On fuzzy non-discrimination

We show that the incompatibility between the Pareto principle and the notion of non-discrimination as presented in Xu (2000) continues to hold when the individuals have exact preferences and the social preference relation is allowed to be a reflexive and transitive fuzzy binary relation. Our result can be seen as a strengthening of the result of Xu in two directions: (1) the range of the aggregation rule is enlarged and (2) a weaker condition on non-discrimination is used.fuzzy preferences

Kontruksi gerak brown

ABSTRAK Gerak Brown dengan mean p dan variansi a2 adalah suatu proses stokastik ( Xt t 0 ), dengan Xt.f. - Xt merupakan penambahan - penambahan selaina interval waktu (t,t+s] untuk s > 0. Karena itu, Xtfs Xt adalah Gaussian dengan mean p(s) dan variansi az(s), dan penambahan Xt+s bebas dengan ( Xu ; 0 u 5 t ). Dengan pengulangan dan interpolasi linier pada interval waktu berhingga, yaitu [0,1], diperoleh model dari suatu ukuran peluang P pada (O, Y) := ( ER 0 CO [ie CO ) ), sedemikian sehingga B = ( Bt,'tB0 5 t < 03 ) adalah gerak Brown dimensi satu standar

Strong Convergence Theorems for Nonexpansive Mappings by Viscosity Approximation Methods in Banach Spaces

In this paper, we introduce a modified Ishikawa iterative process for a pair of nonexpansive mappings and obtain a strong convergence theorem in the framework of uniformly Banach spaces. Our results improve and extend the recent ones announced by Kim and Xu [T.H. Kim, H.K. Xu, Strong convergence of modified Mann iterations, Nonlinear Anal. 61 (2005) 51-60], Xu [H.K. Xu, Viscosity approximation methods for nonexpansive mappings. J. Math. Anal. Appl. 298 (2004) 279-291] and some others.</p