MADM of Threat Assessment with Attempt of Target

MOFA/D-URAM for Solving the Air and Missile Defense Problem Based on Uncertainty Theory

“…Finally, the DWTA based on uncertainty theory (UDWTA) can be summarized as equations (10) (11) (12) with the constraints (4)- (7). As it can be seen from the UDWTA, the three objective functions are positively correlated, that is, the larger the total expected surviving value or the expected effectiveness of destroying targets means more resource consumption.…”

“…As it can be seen from the UDWTA, the three objective functions are positively correlated, that is, the larger the total expected surviving value or the expected effectiveness of destroying targets means more resource consumption. In other word, (10) and ( 11) are conflict with (12).…”

“…Published by Francis Academic Press, UK -2-there are usually not enough samples to properly estimate their probabilities distribution, and it requires the experts or commanders to estimate the belief degree that each event will happened based on their experience. Literature [12] point out that human beings tend to overestimate unlikely events, and persisting in using probability theory or fuzzy set theory to deal with the belief estimation may leads to false conclusions [18] .The Uncertainty Theory was established by Liu in 2009 [18] , and it is a mathematical theory that satisfies the normality, monotonicity, self-duality, and countable subadditivity axioms which can deal with such uncertain problem. Liu point out that Uncertainty Theory is a mathematical system that parallel to probability theory, but the results of some problems derived from Uncertainty Theory is superior to that derived from probability theory, especially the problem involving subjective experience [13] .…”