This paper presents a new method for approximating an unrestricted belief measure assuring that the "order" defined by the compatibility degree between evidence and the singletons set is preserved. Our approach, based on the concept of fuzzy T-preorder, also allows us to define several equivalence criteria over the set of all basic probability assignment functions on a given domain. Some others related aspects as uniqueness of the approximations are also addressed.
Hernández, E.; Recasens, J. On possibilistic and probabilistic approximations of unrestricted belief functions based on the concept of fuzzy T-preorder. "International journal of uncertainty fuzziness and knowledge-based systems", Juny 2002, vol. 10, núm. 2, p. 185-200.
Grup de recerca
FIA - Modelització Matemàtica Funcional i Aplicacions