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Информационные технологии в проектировании объектов электронного машиностроения
Кн. 1: Информационная технология в проектировании пластин плотной записи для накопителей на жестких магнитных дисках. М.: Издательство ГНУ НИИ ПМТ, 2010.
Васин В. А., Вишневский А. С., Ивашов Е. Н., Степанчиков С. В.
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Data on economic, management and political science journals are used to produce quantitative estimates of (in)consistency of evaluations based on seven popular bibliometric indicators. This paper proposes a new approach to the construction of aggregate journal rankings: aggregation is considered to be a multicriteria decision problem and ordinal ranking methods from social choice theory are employed to solve it. We apply either a direct ranking method based on majority rule (e.g. the Copeland rule, the Markovian method) or a multistage procedure of selection and exclusion of the best journals, as determined by a majority rule-based social choice solution concept (tournament solution), such as the uncovered set and the minimal externally stable set. We use the same method to analyze correlations of rankings and demonstrate that aggregate rankings reduce the number of contradictions and represent the set of single-indicator-based rankings better than any of the seven rankings themselves.
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In practice it is quite customary that an alternative is evaluated by means of n ≥ 2 grades x1, ..., xn, each of which taking an integer value from 1 («bad») to m ≥ 3 («perfect»). Thus, a problem arises to rank the set X of all n-dimensional vectors x with integer components from 1 to m. Under the assumption that a low grade in the vector x = (x1, ..., xn) cannot be compensated by (any number of) high grades, in this paper we introduce a notion of the enumerating preference function for the weak order on X, generated by the threshold rule, and evaluate this function explicitly. This permits us also to evaluate all equivalence classes and indifference classes of the weak order. An algorithm of ordering of monotone representatives of indifference classes is given, which corresponds to the weak order on X. A dual model to that considered above is presented including an explicit dual enumerating preference function and the ordering algorithm of corresponding monotone representatives.
Added: Mar 23, 2013