Measure Output Value

A measure output value is an dimensionless number/ordinal value that is intended to compare two or more entities.

• AKA: Score.
• Context:
  • It can be produced by a Measure Function/Scoring Function.
  • ...
• Example(s):
  • an Employee Performance Score.
  • a Confidence Score Value.
  • a PMI Score.
  • a tf-idf Score.
  • a z-Score.
  • a Income Inequality Measure Value.
  • …
• Counter-Example(s):
  • a Similarity Value.
  • an Euclidean Distance.
• See: Output, Rank Value, Economic Demand.

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References

2007

• http://www.isi.edu/~hobbs/bgt-arithmetic.text
  • 3. Measures and Proportions. Sets of rational numbers, and hence sets of nonnegative integers, are very important examples of scales. We will focus on sets in which 0 is the smallest element. If e is the "lt" relation between x and y and s1 is a set of numbers containing 0 but no smaller number, then there is a nonnegative numeric scale s with s1 as its set and e as its partial ordering. … Suppose we have two points x and y on a scale s1 which has a measure. Then the proportion of x to y is the fraction whose numerator and denominator are the numbers the measure maps x and y into, respectively. … In more conventional notation, if m is a measure function mapping s1 into a nonnegative numeric scale, then the proportion f of x to y is given by "f = m(x)/m(y)". … Thus, we can talk about the proportion of one point on a numeric scale to another, via the identity measure.

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