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Measurement of fuzziness: A general approach

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Abstract

A new general index for the measurement of fuzziness has been suggested in this paper. It has been shown that a continuous, S-concave function of the fuzzy membership values will suffice for constructing an index of fuzziness. The general index satisfies all the postulates for an index of fuzziness proposed by De Luca and Termini (1972).

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Authors and Affiliations

  1. Indian Statistical Institute, 203 Barrackpore Trunk Road, 700 035, Calcutta, India

    Satya R. Chakravarty & Tirthankar Roy

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  1. Satya R. Chakravarty
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  2. Tirthankar Roy
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Additional information

We are indebted to M. Smithson for comments on an earlier draft paper.

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Chakravarty, S.R., Roy, T. Measurement of fuzziness: A general approach. Theor Decis 19, 163–169 (1985). https://doi.org/10.1007/BF00132441

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