755. Hyper-H-Indices for Multi-Attribute Research Outputs: Characterizations

A multi-attribute research output index assigns a real number to any integer-valued matrix recording the relevant research items and their respective attribute-scores, for any fixed set of m distinct integer-valued attributes. The hyper-h (HH) index assigns to such a multi-attribute research output the maximum number n of output-items having a minimum attribute-score not smaller than n. Thus, HH-indices can also be described by analogy with the h-index as hyper-Durfee numbers, namely as side-sizes of suitable Durfee hypercubes. Two distinct characterizations of HH-indices that generalize well-known characterizations of the h-index are provided. Those characterizations strongly suggest that the standard properties of the h-index can be easily lifted to multi-attribute outputs, provided that distinct attributes are implicitly given an equal 'weight'.