Original title:
Indecisive Belief Functions
Authors:
Daniel, Milan Document type: Papers Conference/Event: Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /18./, Broumov (CZ), 2015-09-19 / 2015-09-22
Year:
2015
Language:
eng Abstract:
This study presents an idea of indecisive functions, their general and also special definitions, plausibility and pignistic indecisive belief functions. The rich structure of indecisive belief functions is studied in general, and also in special views: both general substructures and indecisive belief functions on three-element and general finite frames of discernment. We are focused to pignistic and contour (plausibility) indecisive belief functions, including their mutual relationship in our study. The later have interesting algebraic structure related to Dempster’s rule of combination.
Keywords:
belief function; Dempster-Shafer theory; Dempster’s semigroup; theory of evidence Host item entry: Proceedings of the 18th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, ISBN 978-80-7435-579-0