Extension of belief functions to infinite-valued events

نویسنده

  • Tomás Kroupa
چکیده

We generalise belief functions to many-valued events which are represented by elements of Lindenbaum algebra of infinite-valued Łukasiewicz propositional logic. Our approach is based on mass assignments used in the Dempster–Shafer theory of evidence. A generalised belief function is totally monotone and it has Choquet integral representation with respect to a unique belief measure on Boolean events.

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عنوان ژورنال:
  • Soft Comput.

دوره 16  شماره 

صفحات  -

تاریخ انتشار 2012