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"imprecise relationship" is correct and usable in written English.
You can use it to describe an unclear or hazily defined association between two or more things. For example, "The imprecise relationship between the two parties made it difficult to reach an agreement."
Exact(6)
This element of make-believe is true of both prophets and actors, and so in a play like "Brother Jero" the point is doubled: both acting and religion have an imprecise relationship with the truth.
The one entity, other than Apple, that didn't see anything wrong with A.O.I.'s imprecise relationship to Ireland was the Irish government itself, which had enthusiastically supported Apple's use of its Irish/not-Irish status to pay no taxes at all.
Bardossy et al. [6] introduced a general methodology for FR and applied to an actual hydrological case study including the imprecise relationship between soil electrical resistivity and hydraulic permeability.
Comparative genomics of organisms from the three domains has shown that the cenancestor was not a direct descendant of the prebiotic soup nor a primitive cellular entity where the genotype and the phenotype had an imprecise relationship (i.e., a progenote), rather it was an organism similar in complexity to extant cells.
We also found a positive, yet imprecise, relationship of high traffic load with the odds for hypertension and intake of BPLM.
A pronounced, although imprecise, relationship with ER+PR+ tumors was observed for those who saw a fogger truck at a residence they lived at ≤20 (OR = 1.50; 95% CI: 0.97, 2.32) and ≤14 (OR = 1.15; 95% CI: 0.99, 1.33) years of age.
Similar(52)
It aimed to simulating food tracing complex system with imprecise relationships while quantifying the performance impact of backward design process efficiency using the total effects algorithm.
Thus, losses in accuracy associated with incorrect or imprecise relationships were greatest for highly heritable sib-evaluated traits.
One may mention many-valued, or multivalued, logics, which admit a finite number of truth-values; fuzzy logic, with an imprecise membership relationship (though, paradoxically, a precise equality relation); and quantum logic, where conjunction may be only partially defined and implication may not be defined at all.
Instead, the relationship is imprecise – even more so at the regional level – reflecting current uncertainties in many complex processes at play in the climate system.
Although there is a plethora of information available in the literature regarding the contribution of maternal obesity, both preexisting and due to excessive gestational weight gain, to fetal macrosomia, the exact effect size of this relationship remains imprecise [ 4, 21– 40].
More suggestions(16)
imprecise linkage
inexact relationship
accurate relationship
undefined relationship
uncertain relationship
blurred relationship
imprecise connections
false relationship
loose relationship
vague relationship
evasive relationship
ambiguous relationship
obscure relationship
incorrect relationship
elusive relationship
ill defined relationship
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com