Mining association rules with improved semantics in medical databases

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Abstract

The discovery of new knowledge by mining medical databases is crucial in order to make an effective use of stored data, enhancing patient management tasks. One of the main objectives of data mining methods is to provide a clear and understandable description of patterns held in data. We introduce a new approach to find association rules among quantitative values in relational databases. The semantics of such rules are improved by introducing imprecise terms in both the antecedent and the consequent, as these terms are the most commonly used in human conversation and reasoning. The terms are modeled by means of fuzzy sets defined in the appropriate domains. However, the mining task is performed on the precise data. These “fuzzy association rules” are more informative than rules relating precise values. We also introduce a new measure of accuracy, based on Shortliffe and Buchanan’s certainty factors [Shortliffe E, Buchanan B. Math Biosci 1975;23:351–79]. Also, the semantics of the usual measure of usefulness of an association rule, called support are discussed and some new criteria are introduced. Our new measures have been shown to be more understandable and appropriate than ordinary ones. Several experiments on large medical databases show that our new approach can provide useful knowledge with better semantics in this field.

Section snippets

Application domain

Nowadays, data stored in medical databases are growing in an increasingly rapid way. Analyzing that data is crucial for medical decision making and management. It has been widely recognized that medical data analysis can lead to an enhancement of health care by improving the performance of patient management tasks [6], [7]. There are two main aspects that define the need for medical data analysis [6].

  • Support of specific knowledge-based problem solving activities through the analysis of patients

Problem statement

There is an increasing interest in finding association rules among values of quantitative attributes in relational databases [11], as these kind of attributes are rather frequent. Quantitative attributes are those whose domain contain many precise values. Medical databases are used to store a big amount of quantitative attributes. But in common conversation and reasoning, humans employ rules relating imprecise terms rather than precise values. For instance, a physician will find more

Applied methods

We have employed several techniques in order to reach our goal.

  • 1.

    One of the best tools to represent linguistic imprecise terms with clear semantic content is the theory of fuzzy sets. By using this theory, the meaning of imprecise terms can be modeled by means of fuzzy sets in the appropriate domain. For example, a possible representation of imprecise terms related to the “Age”, by means of fuzzy sets, is shown in Fig. 1. Fig. 2 shows a set of imprecise terms for the “Hour”. The definition of the

Results

We have performed several experiments on large medical databases obtained from the University Hospital of Granada, specifically the relations URGENCY and SURGICAL OPERATIONS, containing 81,368 and 15,766 tuples, respectively. We show in [8] that fuzzy association rules allow us to (a) obtain rules with better semantics, and (b) obtain rules with enough support among quantitative attributes (otherwise, the high number of distinct and precise values makes the support of rules relating values of

Outlook

At this moment we are about to start the analysis of new medical databases obtained from several health services of Granada. From a theoretical point of view, we are concerned with the study of fuzzy hierarchies to find association rules with different granularity (precision) levels. Also, we are studying the unification of approximate dependencies (functional dependencies with a few exceptions) and fuzzy functional dependencies, in order to obtain “almost functional dependencies” described by

References (12)

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