T -Measures

Part of the Theory and Decision Library book series (TDLC, volume 10)


9.1 It was shown in Chapter II (see Theorem 8.6) that monotone fundamental triangular norm based measures can be decomposed into a sum consisting of a generated measure and a monotonically irreducible measure. Moreover, if the tribe on which the fundamental triangular norm based measure is defined is a generated one, then the monotonically irreducible component is necessarily zero (cf. Theorem 7.1).


Additive Function Fuzzy Subset Absolute Continuity Supporting Hyperplane Jordan Decomposition 
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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of HaifaIsrael
  2. 2.Institute of MathematicsJohannes Kepler UniversityLinzAustria

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