3.5 Real Triplex Arithmetic

Triplex arithmetic extends the concept of interval arithmetic by incorporating not only the lower bound and upper bound , but also an explicit midpoint value . This midpoint represents the default floating-point value obtained through standard nearest rounding, thereby capturing the central tendency of the interval.

For any triplex number , the relationship between its components is defined as:

This structure allows for a more precise representation of uncertainty or variability, as it explicitly includes the most likely or rounded value alongside the bounds.