The Weighted Ambient Metric

On The Ranking Fuzzy Numbers Using Weighted Metric

Weighted Hamming Metric Structures

A weighted Hamming metric is introduced in [4] and it showed that the binary generalized Goppa code is a perfect code in some weighted Hamming metric. In this paper, we study the weight structures which admit the binary Hamming code and the extended binary Hamming code to be perfect codes in the weighted Hamming metric. And, we also give some structures of a 2-perfect code and how to construct ...

Weighted continuous metric scaling

Weighted metric scaling (Cuadras and Fortiana 1995b) is a natural extension of classic metric scaling which encompasses several well-known techniques of Euclidean representation of data, including correspondence analysis of bivariate contingency tables. A continuous version of this technique, following the trend initiated in (Cuadras and For-tiana 1993, 1995a) is applied to the study of several...

A New Weighted Metric: the Relative Metric II

In the first part of this investigation, [1], we generalized a weighted distance function of [2] and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so–called M–relative metric are established. Specifically, isometries, quasiconvexity and local convexity results are derived. We also illustrate connections between our approach and generaliza...

A New Weighted Metric: the Relative Metric I

The M–relative distance, denoted by ρM is a generalization of the p–relative distance, which was introduced in [10]. We establish necessary and sufficient conditions under which ρM is a metric. In two special cases we derive complete characterizations of the metric. We also present a way of extending the results to metrics sensitive to the domain in which they are defined, thus finding some con...