Robust methodology for characterizing system response to damage: a subjective (fuzzy) partial ordered modification of the traditional utility-probability scheme

C. de la Mora, P. Wojciechowski, V. Kreinovich, S.A. Starks, P.J. Tanenbaum, A. Kuzminykh
22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003  
To describe the response of engineering complex systems to various damage mechanics, engineers have traditionally use number-valued utilities to describe the results of different possible outcomes, and (number-valued) probabilities (often, subjective probabilities) to describe the relative frequency of different outcomes. This description is based on the assumption that experts can always make a definite preference between two possible outcomes, i.e., that the set of all outcomes is linearly
more » ... tally) ordered. In practice, experts often cannot make a choice, their preference is only a partial order. In this paper, we describe a new approach based on partial order.
doi:10.1109/nafips.2003.1226820 fatcat:l6iwii5okjdttjzdlqvlrjvf2u