@article{Franek2012WeightedMO,
title={Weighted mean of a pair of clusterings},
author={Lucas Franek and Xiaoyi Jiang and Changzheng He},
journal={Pattern Analysis and Applications},
year={2012},
volume={17},
pages={153-166}
}

In this paper, we introduce the weighted mean of a pair of clusterings. Given two clusterings C 1 and C 2, the weighted mean of C 1 and C 2 is a clustering C w that has distances d(C 1, C w ) and d(C w , C 2) to C 1 and C 2, respectively, such that d(C 1, C w ) + d(C w , C 2) = d(C 1, C 2) holds for some clustering distance function d. C w is defined such that the sum of the distances d(C 1, C w ) and d(C w , C 2) is equal to the distance between C 1 and C 2. An algorithm for its computation… CONTINUE READING