This paper presents an improved cluster validation scheme called two phase cluster validation (TPCV) and aims to estimate the inter closeness and inter separation among the clusters in the cluster set of unsupervised clustering schemes based on probability measure for validating the cluster quality without prior identification. First phase, the TPCV computes the representative cluster centroid of each individual cluster in the cluster set based on standard mean operation and then it estimates the probability of inter closeness of each cluster with other clusters in the cluster set based on cluster centroid. Next phase, it calculates the probability of separation among the clusters in the cluster set based on cluster centroid by distance measure. Experimental results show that the TPCV scheme is simple and effective to estimate the cluster quality by measuring the probability of closeness and separation between the clusters in the result of unsupervised clustering scheme.

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The Editor-in-Chief and the publisher have retracted this article. This article was submitted to be part of a guest-edited issue. An investigation concluded that the editorial process of this guest-edited issue was compromised by a third party and that the peer review process has been manipulated.Based on the investigation's findings the Editor-in-Chief therefore no longer has confidence in the results and conclusions of this article.Author Syed Thouheed Ahmed has stated that all authors disagree with this retraction.