In this paper we present a generalization of weighted k-ellipses. Let us give an n-foci (points) and an m-directrices (lines) in a Euclidean plane for n,m \in N_{0} . In this plane for the point W we consider the following equation

\sum\underline{i=1}\overline{n}\alpha_{i}R_{i}+\sum\underline{j=1}\overline{m}\beta_{j}r_{j}=S

where R_{i} is Euclidean distance from the point W to the i-th focus,  r_{j} is Euclidean distance from the point W to the j-th directrix and \alpha_{i},\beta_{j},S\in R.  We present some statements about existence of the real solutions of previous equation. Some well-known examples of these types of plane curves with foci and directrices are conic sections, weighted k-ellipses, weighted multidiretrices polygonals and Erdös-Mordell curve. An algorithm for extraction of locus of W-points as a part of appropriate algebraic curves of higher order is presented. For some applications of W-curves in the facility location problems, web-based program was developed.