defuzzification

Version:1.0
Provider:URV
Name:fuzzyLabelsDescriptors
SOAP service’s name:
 fuzzyLabelsDescriptors-URV (see SOAP requests for details)

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)

fuzzyNumbers

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

The input value should be a valid XMCDA document whose main tag is <categoriesValues>. It must have the following form:

<categoriesValue>
<categoryValue>
   <values>
        <value id="xxx" name="xxxxxxxx">
                        <fuzzyNumber>
                                <trapezoidal>
                                        <point1>
                                                <abscissa>[...]</abscissa>
                                                <ordinate>[...]</ordinate>
                                        </point1>
                                        [...]
                                        <point4>
                                                [...]
                                        </point4>
                                </trapezoidal>
                        </fuzzyNumber>
        </value>
        [...]
    </values>
</categoryValue>
</categoriesValue>

Outputs

SpecificityResults

Specificity value for each label of the fuzzy variable.

The returned value is a XMCDA document whose main tag is <alternativesValues>.


FuzzinessResults

Fuzziness value for each label of the fuzzy variable.

The returned value is a XMCDA document whose main tag is <alternativesValues>.


messages

A status message.

The returned value is a XMCDA document whose main tag is <methodMessages>.


Original xml description