Abstract
This paper deals with the classification of a set of objects assuming that the transitivity of order relationship may not hold in measuring and evaluating objects of the real world. An analysis of intransitively ordered set has derived the concepts such as the extended fundamental pattern, the pseudo-interval order and so forth to understand the intransitively ordered set. The set can be divided into subsets by using the above mentioned concepts. But it is not yet known whether we can develop a systematic algorithm of classification. This paper proposes an heuristic algorithm classifying the intransitively ordered set into as many subsets as possible.
