Title :
Mean and variance of alternatives in evidence theory
Author :
Langewisch, Andrew ; Choobineh, F. Fred
Author_Institution :
Dept. of Ind. & Manage. Syst. Eng., Nebraska Univ., Lincoln, NE, USA
Abstract :
Evidence theory is a powerful tool for modeling ambiguity. Ambiguity is prevalent in the description of most alternatives and it arises from the existence of many-to-many relations between outcomes and probabilities of outcomes. We present procedures for determining bounds for the mean and variance of alternatives under conditions of ambiguity. The mean and variance, for example, can be used for identifying the set of non-dominated alternatives
Keywords :
fuzzy set theory; probability; uncertainty handling; ambiguity; evidence theory; fuzzy set theory; many-to-many relations; outcomes; probability; variance; Distribution functions; Engineering management; Fuzzy set theory; Fuzzy sets; Measurement uncertainty; Possibility theory; Probability density function; Statistical analysis; Statistical distributions; Systems engineering and theory;
Conference_Titel :
Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4778-1
DOI :
10.1109/ICSMC.1998.728200
