Determining an optimal membership function based on community consensus in a fuzzy database system

  • Authors:
  • Joanne Cunningham

  • Affiliations:
  • Virginia Commonwealth University, Richmond, VA

  • Venue:
  • Proceedings of the 44th annual Southeast regional conference
  • Year:
  • 2006

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Abstract

A fuzzy set is one in which membership in a category is not boolean. Rather items have a degree of membership. Fuzzy databases expand on this idea by storing fuzzy data and allowing it to be retrieved based on its degree of membership. Determining the degree of membership in a category that best satisfies the largest number of users is difficult. A training phase is conducted in which a community that is representative of the final users is asked a series of questions about the category to which an element belongs. This input is then used to construct the membership function. However, the best way to construct the membership function is elusive. This paper evaluates different methods of constructing the membership function based on community opinions. It was determined that all of the methods produced similar results, however the Direct Rating and Weighted Average Methods arrive at their final value sooner and maintain that value for a longer period of time. More research is needed using a larger training community and a verification phase to distinguish between these two methods.