On the defect of complementarity of fuzzy measures

Authors:
A. I. Ban;S. G. Gal
Affiliations:
Department of Mathematics, University of Oradea, str. Armatei Române 5, 3700 Oradea, Romania;Department of Mathematics, University of Oradea, str. Armatei Române 5, 3700 Oradea, Romania
Venue:
Fuzzy Sets and Systems - Mathematics
Year:
2002

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Abstract

It is well-known that the fuzzy measures are non-additive. This means that the sum between the measure of a set and the measure of its complement is not equal with the measure of space. As a consequence, in this paper we introduce the concept of defect of complementarity. Also, for large classes of fuzzy measures this defect of complementarity is calculated or estimated. Finally, some applications and interpretations are presented.