Abstract
There is a growing need for a generalized theory of measurement and for a systematic study of measurement technology so diversified nowadays in its objective, scope, forms and methods that virtually every important branch of engineering, physical and social sciences has its own version of measurement technology. In such a broad sense of measurement, man may become an integral part of the measurement system and his evaluation a tool to endow the set of measured objects with an ordered structue.
There may be very often the case in which the transitive property of an order relationship does not hold even if the criterion for evaluation is rational and accurate enough. Therefore the given objects cannot be arranged in a linear order. Such an intransitive ordering is called a loop. This paper deals with how to treat a loop and derives the various properties of the loop.
