This web service aims at testing the consistency of the judgements provided by an individual or a group J. Let X be a finite set of alternatives that J wants to compare in terms of their relative attractiveness (desirability, value). Let P be a binary asymmetric relation. First a PRETEST of the preferential information allows to detecting the presence (or not) of cycles whithin P and sorts the elements of X. If the PRETEST detected no cycle whithin P, a test for complete or incomplete type 1 information is then processed. Afterwards, when the LP-test1 or the DIR-test1 is feasible, a consistency test for type 1+2 (LP-test1+2) information is run. If the LP-test1+2 is feasible, the program serach for a basic MACBETH scale by solving the LP-MACBETH and tries to guarantee technically the uniquenes of the MACBETH scale. At the end, the web service generates THE MACBETH scale or indicates inconsistency of the judgments provided.


(For outputs, see below)



Type 1+2 information. The label must be one of the following judgments: I (for indifferent), ?, Ci or Cij if you hesitate to choose the difference of attractiveness (i<j and 1<=i,j<=6 ). Class 1 corresponds to very weak, Class 2 is weak, class 3 is moderate, class 4 is strong, class 5 is very strong and class 6 is extreme. Note that the preferential information can be generated by the web service generatePreferentialInformation.




A list of <alternativesValue> representing a certain numeric quantity for each alternative: the type 1+2 MACBETH scale.

XMCDA related:

  • Tag: alternativesValues



A list of messages generated by the algorithm.

XMCDA related:

  • Tag: methodMessages

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