Valued Relations Aggregation with the Borda Method

Thierry Marchant C

56 citations0/0 files storedJournal of Multi-Criteria Decision Analysis

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Game Theory and Voting Systems Multi-Criteria Decision Making Advanced Algebra and Logic

Abstract

The Borda method is a well-known method used to aggregate a profile of crisp binary relations into one weak order. We present a generalization of the Borda method, allowing it to aggregate a profile of valued relations. We give a characterization of the Borda method in this context and we show some links with the PROMETHEE method.

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1974An axiomatization of Borda's rule 1994The PROMCALC & GAIA decision support system for multicriteria decision aid 1985Preference Modelling 1992Ranking methods based on valued preference relations: A characterization of the net flow method 1981A further characterization of Borda ranking method 1996Outranking Relations: Do They Have Special Properties?1976A proof technique for social choice with variable electorate

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