Title :
Additivity, noninteraction, and semirings
Author :
Wierman, Mark J.
Author_Institution :
Creighton Univ., Omaha, NE, USA
Abstract :
A very general model of a system representing information is presented. Under the assumptions that this model applies to product spaces and that information is not lost in the expansion to these product spaces we conclude that a semiring is the proper model for the algebra involved. Some indication of the nature of the information measures appropriate to the semiring are presented.
Keywords :
algebra; uncertainty handling; additivity; algebra; information systems; possibility theory; probability distribution; product spaces; semirings; Algebra; Cost accounting; Distribution functions; Lattices; Logic; Possibility theory; Power measurement; Probability distribution; Q measurement; Uncertainty;
Conference_Titel :
Fuzzy Information Processing Society, 2003. NAFIPS 2003. 22nd International Conference of the North American
Print_ISBN :
0-7803-7918-7
DOI :
10.1109/NAFIPS.2003.1226757
