Probably does not apply for real numbers, but could totally apply to, e.g., fuzzy numbers, whose 'membership function' bleeds beyond the 'crisp' number into nea

Probably does not apply for real numbers, but could totally apply to, e.g., fuzzy numbers, whose 'membership function' bleeds beyond the 'crisp' number into nearby numbers. You could imagine two fuzzy numbers with the same 'crisp' number having different membership profiles, and thus not being "equal", while at the same time being definitely not less and not greater at the same time. Having said that, this all depends on appropriate definitions for all those concepts. You could argue that having the same 'crisp' representation would make them 'equal' but not 'equivalent', if that was the definition you chose. So a lot of this comes down to how you define equality / comparisons in whichever domain you're dealing with.