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Assigning Membership in a Fuzzy Set Analysis

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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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    1. Adcock, Robert & Collier, David, 2001. "Measurement Validity: A Shared Standard for Qualitative and Quantitative Research," American Political Science Review, Cambridge University Press, vol. 95(3), pages 529-546, September.
    2. Ragin, Charles C., 2000. "Fuzzy-Set Social Science," University of Chicago Press Economics Books, University of Chicago Press, edition 1, number 9780226702773.
    3. 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.
    4. Huber, Joel & Ariely, Dan & Fischer, Gregory, 2002. "Expressing Preferences in a Principal-Agent Task: A Comparison of Choice, Rating, and Matching," Organizational Behavior and Human Decision Processes, Elsevier, vol. 87(1), pages 66-90, January.
    5. Muller, Edward N., 1972. "A Test of a Partial Theory of Potential for Political Violence," American Political Science Review, Cambridge University Press, vol. 66(3), pages 928-959, September.
    6. repec:ucp:bkecon:9780226702766 is not listed on IDEAS
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    7. 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.

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