weak ordering

[wik ˈɔrdərɪŋ]
nounpl: weak orderings
ordenação fraca
1. A mathematical relation that is transitive and total (comparable to all elements), but allows for indifference between elements, meaning two different elements can be considered equivalent without being identical
In consumer preference theory, a weak ordering allows for indifference between two products of equal utility.
Na teoria de preferência do consumidor, uma ordenação fraca permite indiferença entre dois produtos de utilidade igual.
2. A binary relation satisfying transitivity and totality but not antisymmetry, used in preference modeling and decision theory
The weak ordering of candidates by their qualifications showed that two applicants were equally suitable for the position.
A ordenação fraca dos candidatos por suas qualificações mostrou que dois candidatos eram igualmente adequados para a posição.
This is specialized mathematical and economic terminology primarily used in academic and professional contexts. It is particularly important in microeconomic theory, preference modeling, and decision-making studies. The term is used identically in both Portuguese-speaking and English-speaking academic communities, reflecting the universal nature of mathematical concepts.
Synonyms / Sinônimos
total preorderpreference orderingcomplete preorder
Antonyms / Antônimos
strict orderingpartial orderingtotal order

Regional Variations

General Brazilian
ordenação fraca
Standard mathematical terminology used in universities and academic contexts
Portugal
ordenação fraca
Same usage as in Brazil; common in mathematics and economics departments
Academic English (USA/UK)
weak ordering
Primary term used in mathematics, economics, and decision theory literature

Related Words

ordering relationtransitivityindifference relationpreference relationtotal orderpartial order
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