Abstract
Abstract The results on group properties of the addition operation over fuzzy quantities presented in a previous paper by the author [5] imply some interesting consequences concerning the equivalence relation between fuzzy quantities. The equivalence is necessary for the validity of the group axioms for the class of fuzzy quantities. More detailed analysis of the equivalence properties implies some conclusions regarding the interpretation of different sources of fuzziness entering the fuzzy quantities model. The method used to prove the main theorem of this paper demands to limit the investigation to fuzzy quantities with finite support. This limitation, however unpleasant, does not influence the applicability of the presented results in a wide class of practical situations.
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