Notation - Representing 'equally dominant'.

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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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    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.




    notation order-theory




    share|cite|improve this question





















      up vote
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      up vote
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      down vote

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      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.




      notation order-theory




      share|cite|improve this question











      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.





      notation order-theory





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      asked Aug 6 at 13:33









      Jasper

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