An Improved Estimation of Averaged Ranks of Partial Orders

Abstract

Comparison of objects characterized by a multitude of criteria will typically not lead to a linear order, but to a partial order. However, often a linear order is desirable or even required. The present paper presents an improved - extended - approximate local partial order model to estimate a weak or linear order based on averaged ranks of the studied objects originally being partially ordered. The paper analyses various possible partial order scenarios by means of the new local partial order model, the results being compared to the original approach as well as to exact values (their calculation can be extremely time consuming), demonstrating a distinct improvement of the extended method compared to the original local partial order ranking method. By the approximate methods the values of averaged ranks can be understood in terms of three basic partial order parameters. The method is applied to current research on human health effects of rocket fuel transformation products.

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