Perspective-oriented data analysis through the development of information granules of order 2

Abdullah Balamash*, Witold Pedrycz, Rami Al-Hmouz, Ali Morfeq

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The problem of interest in this study is to describe and quantify a structure of data sets X1,X2,…,Xp with the use of a certain referential structure (composed of a collection of referential fuzzy sets) constructed on the basis of some previously available data X. The essence of the proposed approach is to carry out clustering in any Xi completed in a new granular feature space constructed with the aid of referential fuzzy sets. As a result, the clusters formed in Xi in this way emerge in the form of fuzzy sets of order-2. The lack of precision (variability) being associated with this description is quantified with the aid of entropy measure and directly relates the new structure with the notion of surprise (unexpectedness, interestingness) of the concepts and anomalies occurring in the data. Experimental studies are reported for synthetic data and real-world multivariable time series.

Original languageEnglish
Pages (from-to)97-106
Number of pages10
JournalInternational Journal of Approximate Reasoning
Publication statusPublished - Jun 1 2017


  • Clustering
  • Concept drift
  • Context-oriented data analysis
  • Non-stationary data
  • Order-2 information granules
  • Reference information granules

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics


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