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Assigning Membership in a Fuzzy Set Analysis

Author

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  • Jay Verkuilen

    (University of Illinois, Urbana-Champaign)

Abstract

This article provides a largely nontechnical discussion of the acquisition of membership values in fuzzy set analyses. First the basic properties of a membership are discussed. Then the three common strategies of membership assignment—direct subjective assignment, indirect subjective assignment, and transformation—are critically examined in turn. Examples are used to illustrate the techniques. The connection with existing psychometric and statistical methods is particularly emphasized, focusing on the notion of a membership value as a random variable as a means to assess uncertainty in assignment.

Suggested Citation

  • Jay Verkuilen, 2005. "Assigning Membership in a Fuzzy Set Analysis," Sociological Methods & Research, , vol. 33(4), pages 462-496, May.
  • Handle: RePEc:sae:somere:v:33:y:2005:i:4:p:462-496
    DOI: 10.1177/0049124105274498
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    References listed on IDEAS

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    2. repec:ucp:bkecon:9780226702766 is not listed on IDEAS
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    4. Nozer D. Singpurwalla & Jane M. Booker, 2004. "Membership Functions and Probability Measures of Fuzzy Sets," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 867-877, January.
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    2. Fatmi, Mahmudur Rahman & Chowdhury, Subeh & Habib, Muhammad Ahsanul, 2017. "Life history-oriented residential location choice model: A stress-based two-tier panel modeling approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 104(C), pages 293-307.
    3. Iannacci, Federico & Cornford, Tony, 2017. "Unravelling casual and temporal influences underpinning monitoring systems success: a typological approach," LSE Research Online Documents on Economics 84049, London School of Economics and Political Science, LSE Library.
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