defuzzification

Provider:URV
Version:1.0

Description

Two types of uncertainty in fuzzy sets are recognized: (1) specificity, related to the measurement of imprecision, which is based on the cardinality of the set, and (2) fuzziness, or entropy, which measures the vagueness of the set as a result of having imprecise boundaries. Specificity and fuzziness refer to two different characteristics of fuzzy sets. Specificity (or its counterpart, non-specificity) measures the degree of truth of the sentence: Containing just one element. Fuzziness measures the difference from a crisp set.

  • Contact: Aida Valls <aida.valls@urv.cat>
  • Reference: R.R. Yager, On Ordered Weighted Averaging Aggregation, IEEE Transactions on Systems, Man and Cybernetics, 18, pp. 119-145 (1988)

Inputs

(For outputs, see below)

fuzzy numbers

Description:

Definition of a fuzzy variable as a list of labels (trapezoidal)

Outputs

specificity

Description:

Specificity value for each label of the fuzzy variable.

XMCDA related:

  • Tag: alternativesValues

fuzziness

Description:

Fuzziness value for each label of the fuzzy variable.

XMCDA related:

  • Tag: alternativesValues

messages

Description:

A status message.

XMCDA related:

  • Tag: methodMessages

For further technical details on the web service underlying this program, have a look at its documentation here.