Let H be the Cartesian product of a family finite abelian groups. Via polynomial approach, we give sufficient conditions for partition induced by weighted poset metric to reflexive, which also become necessary some special scenarios. Moreover, examining roots Krawtchouk polynomials, combinatorial non-reflexive, and then several examples non-reflexive partitions. When is vector space over field ...

a weighted linear regression model with impercise response and p-real explanatory variables is analyzed. the lr fuzzy random variable is introduced and a metric is suggested for coping with this kind of variables. a least square solution for estimating the parameters of the model is derived. the result are illustrated by the means of some case studies.

Abstract We describe how properties of metric groups and unitary representations can be presented in continuous logic. In particular we find L ω 1 -axiomatization amenability. also show that the case locally compact some uniform version negation Kazhdan’s property (T) viewed as a union first-order axiomatizable classes. will see when these are preserved under taking elementary substructures.

In this paper, we focus on the aggregation problem for (trust, distrust) couples in trust networks. In particular, we study approaches based on classical and induced ordered weighted averaging (OWA) operators.