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1992•Journal of Multi-Criteria Decision AnalysisRequires access

Lexicographic aggregation of semiorders

Marc Pirlot, Philippe Vincke

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Abstract

Abstract It is well known that the lexicographic aggregation of complete preorders gives a complete preorder. Unfortunately, this property is no longer true when the lexicographic rule is applied to semiorders. In this paper we study some ways of defining a lexicographic aggregation of semiorders and the properties of the resulting structures.

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What this paper is about

Abstract It is well known that the lexicographic aggregation of complete preorders gives a complete preorder. Unfortunately, this property is no longer true when the lexicographic rule is applied to semiorders. In this paper we study some ways of defining a lexicographic aggregation of semiorders and the properties of the resulting structures.

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Available abstract

Abstract It is well known that the lexicographic aggregation of complete preorders gives a complete preorder. Unfortunately, this property is no longer true when the lexicographic rule is applied to semiorders. In this paper we study some ways of defining a lexicographic aggregation of semiorders and the properties of the resulting structures.

Key concepts: Lexicographical order, Computer science, Mathematics, Combinatorics

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