Title: Fuzzy statistical dependency and normalisation in fuzzy statistical database

Authors: P.C. Saxena; C.P. Katti; Seema Guglani

Addresses: School of Computer and System Sciences, Jawahar Lal Nehru University, New Delhi 110067, India. ' School of Computer and System Sciences, Jawahar Lal Nehru University, New Delhi 110067, India. ' School of Computer and System Sciences, Jawahar Lal Nehru University, New Delhi 110067, India

Abstract: Most of the statistical databases developed so far use precise data. But in the real world, most of the data is imprecise in nature. Fuzzy set theory has proven to be a good choice for accomplishing the task of imperfect data particularly in statistical database and fuzzy statistical database has arisen as a result. In this paper, we introduce the concept of fuzzy statistical dependency, a dependency between the attributes of fuzzy statistical database which allows the database developer to develop a consistent logical modelling tool for fuzzy statistical database. We also discuss the fuzzy statistical equality for comparison of attributes in fuzzy statistical database. To eliminate the redundancy in fuzzy statistical database, fuzzy statistical normal forms are defined which present a framework for the database developer to maintain consistency in the fuzzy statistical database. Algorithms for implementation of fuzzy statistical normal forms are also discussed.

Keywords: fuzzy statistical databases; fuzzy equality; fuzzy statistical dependency; normalisation; fuzzy set theory; fuzzy logic; imperfect data; logical modelling.

DOI: 10.1504/IJIIDS.2012.049115

International Journal of Intelligent Information and Database Systems, 2012 Vol.6 No.4, pp.328 - 362

Accepted: 25 Nov 2011
Published online: 16 Aug 2014 *

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