The paper relates novel theories of one-dimensional measurement and scale type to earlier theories. A paper by J. Barzilai ( see ibid., p.395-400) presents definitions, notation, and further details regarding these new theories. The following areas are covered: inadequacy of the homomorphic model; terminology and notation; scale type; concatenation and Holder's axioms; and the foundations of decision theory.
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Jonathan Barzilai (2002) studied this question.
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