I am working on a paper where basic order theory is used. I have defined a dominance-relation that defines a partially ordered set. Most authors seem to use $< \leq, =, \geq, >$ for strongly dominant, weakly dominant, equally, weakly non-dominant, strongly non-dominant, respectively. However, these symbols are overloaded for me because this is used in a context of linear programming. I use the symbols $\prec, \preceq, ???, \succeq, \succ$.

Which symbol is most suitable for the equality-case? I think about using one of $\simeq, \equiv,\cong$, but I am not sure which is most common in this context. I personally think $\simeq$ is a good choice, but I would like to know which symbol is the least uncommon/most preferred.


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