A new distance measure including the weak preference relation: Application to the multiple criteria aggregation procedure for mixed evaluations
SB Amor, JM Martel - European Journal of Operational Research, 2014 - Elsevier
SB Amor, JM Martel
European Journal of Operational Research, 2014•ElsevierWe introduce a new distance measure between two preorders that captures indifference,
strict preference, weak preference and incomparability relations. This measure is the first to
capture weak preference relations. We illustrate how this distance measure affords decision
makers greater modeling power to capture their preferences, or uncertainty and ambiguity
around them, by using our proposed distance measure in a multiple criteria aggregation
procedure for mixed evaluations.
strict preference, weak preference and incomparability relations. This measure is the first to
capture weak preference relations. We illustrate how this distance measure affords decision
makers greater modeling power to capture their preferences, or uncertainty and ambiguity
around them, by using our proposed distance measure in a multiple criteria aggregation
procedure for mixed evaluations.
Abstract
We introduce a new distance measure between two preorders that captures indifference, strict preference, weak preference and incomparability relations. This measure is the first to capture weak preference relations. We illustrate how this distance measure affords decision makers greater modeling power to capture their preferences, or uncertainty and ambiguity around them, by using our proposed distance measure in a multiple criteria aggregation procedure for mixed evaluations.
Elsevier
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