Fuzzy Measures and Integrals
This special issue collects papers as extended versions of presentations given at special section Fuzzy Measures and Integrals during Seventh International Fuzzy Systems Association World Congress in Prague (Czech Republic), 25-29 June 1997.
Various types of nonadditive measures and corresponding integrals give us powerful tools in different areas.
The first paper by Ivan Kramosil deals with the problem of an inverse operation to the Dempster combination rule for basic probability assignments. His approach is based on the apparatus of measure theory taking that degrees of beliefs are signed measures.
In Elena Tsiporkova, Bernard De Baets and Veselka Boeva contribution multivalued mappings are involved in the development of a modal logic interpretation of Dempster-Shafer theory.
Radko Mesiar and Endre Pap prove that supand inf-decomposable measures fulfilling the countable chain condition, as well as integrals based on them, can be obtained as limits of families of pseudo-additive measures with respect to generated pseudo-additions and limits of families of g-integrals, respectively.
The topic of Endre Pap and Ivana Stajner is a generalized pseudo-convolution, viewed as a common roof for important operations in the theory of probabilistic metric spaces, information, fuzzy numbers, optimization and system theory.
Andrea Markov~i-Stupfianov~i gives a complete characterization of idempotent functions with respect to the pseudo-convolution.