Means: a multicriteria approach. Part II

In a recent paper by the authors (see Control Sciences 2020, no. 5), a new approach to determining means was proposed, and some of their properties were investigated. Being a direct continuation, this paper presents new properties of the means. Their stability to small changes in the initial data is studied, and stable means are identified. The cases of data with repetitions, data with uncertainty, and ordinal data are considered. A simple and accurate analytical method for constructing a set of means is suggested in the applications-relevant case when the closeness of a point to the given ones is estimated using the first ordinal metric scale of criteria. The presentation is accompanied by simple calculation examples that illustrate the main theoretical results.