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Titlebook: Aggregation and Representation of Preferences; Introduction to Math Andranick S. Tanguiane Book 1991 Springer-Verlag Berlin Heidelberg 1991

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期刊全称Aggregation and Representation of Preferences
期刊简称Introduction to Math
影响因子2023Andranick S. Tanguiane
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图书封面Titlebook: Aggregation and Representation of Preferences; Introduction to Math Andranick S. Tanguiane Book 1991 Springer-Verlag Berlin Heidelberg 1991
影响因子Aggregation is the conjunction of information, aimed at its compact represen­ tation. Any time when the totality of data is described in terms of general­ ized indicators, conventional counts, typical representatives and characteristic dependences, one directly or indirectly deals with aggregation. It includes revealing the most significant characteristics and distinctive features, quanti­ tative and qualitative analysis. As a result, the information becomes adaptable for further processing and convenient for human perception. Aggregation is widely used in economics, statistics, management, planning, system analysis, and many other fields. That is why aggregation is so important in data pro­ cessing. Aggregation of preferences is a particular case of the general problem of ag­ gregation. It arises in multicriteria decision-making and collective choice, when a set of alternatives has to be ordered with respect to contradicting criteria, or various individual opinions. However, in spite of apparent similarity the problems of multicriteria decision-making and collective choice are somewhat different. Indeed, an improvement in some specifications at the cost of worsen­ ing others is no
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Accounting Degree of Preference in Aggregation, the rejection of axiom A4 (independence of irrelevant alternatives) allows taking into account such an important factor, as the degree of preference. It is desirable in multicriteria decision-making, when one has to compare estimates from partial criteria with regard both to their significance, and
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General Model of Aggregation of Preferences,f dictatorship. We shall obtain corollaries for the models of Arrow (1951), Fishburn (1970a), Kirman and Sondermann (1972). In section 7 we shall introduce probability measures to characterize quantitatively the elements of the model, and so we shall also generalize the models of Armstrong (1980; 19
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Aggregation of Infinite Set of Preferences,are revealed in the infinite model, and the conclusions are extended to the finite case, being interpreted as tendencies, inherent in the model’s enlargement. The use of infinite models is justified, when one deals with the qualitative analysis. The concepts of “finite” and “infinite” together with
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Representation of Collective by a Council,case represents the collective. As mentioned earlier, the interpretation of the model is also restricted by that no place for collective forms of decision-making is reserved in the concept of a cabinet. However, in reality any strict delimitation of powers is usually combined with collectivity, as i
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