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Ranking Distributions of Multidimensional Ordinal Attributes
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DOI：10.1007/s11205-026-03915-8.png)
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Abstract
En 中文
We propose a novel methodology that allows to fully rank distributions of bundles of multidimensional ordinal attributes that contribute either positively or negatively to social welfare. Given the incomparability of some of the ordinal attributes, we rely on concepts borrowed from the partially ordered set (poset) and fuzzy set theories to address the measurement challenges arising from the incomplete orderings of attribute profiles. We incorporate a rank-based fuzzification technique into Hammond-type distribution function. This methodology takes into account the inherent incomparability among some attribute profiles and compare distributions using two dominance criteria: an extended Hammond dominance, which is sensitive to within-distribution inequality and social welfare dominance which also embeds concerns for efficiency. We illustrate our methodology using two applications: one on individual health and the other on household amenities using data from selected developing countries.
Keywords:
Partially ordered sets
Fuzzification
Hammond dominance
Social welfare function
Developing countries
Journal
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2.8
Papers:
428
Citations:
1.6W
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Cited Papers