NDLI: Clustering using Similarity Upper Approximation

Content Provider	IEEE Xplore Digital Library
Author	Kumar, P. Radha Krishna, P. Bapi, R.S. De, S.K.
Copyright Year	2006
Description	Author affiliation: Inst. for Dev. & Res. in Banking Technol., Hyderabad (Kumar, P.)
Abstract	Rough set theory operates on an information system that consists of a set of objects. A core concept of rough set theory is that of equivalence between objects called indiscernibility. Indiscernibility reflects a total impossibility of distinguishing between objects, considering the available information. Considering a tolerance or similarity relation instead of an indiscernibility relation is quite relevant due to the existence of quantitative attributes in the information systems. Extending indiscernibility to tolerance relation results in weakening of some of the properties of the binary relation in terms of reflexivity, symmetry and transitivity. In this paper, we present a clustering technique using similarity relation with transitivity property being relaxed. The concept of similarity upper approximation has been used to form the initial family of cluster. A relationship based measure has been used to decide the belongingness of uncertain elements. We present an example to illustrate our proposed methodology. This promises to be a useful and interesting area of extension of the theory of rough sets.
Starting Page	839
Ending Page	844
File Size	242853
Page Count	6
File Format	PDF
ISBN	0780394887
DOI	10.1109/FUZZY.2006.1681808
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-07-16
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Information systems Set theory Rough sets Computational intelligence Data mining Clustering algorithms Banking Electrical capacitance tomography Data analysis Clustering methods
Content Type	Text
Resource Type	Article

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