Methods for multiple attribute decision making (MADM) include classical decision rules such as dominance, maximin, and maximum, which do not require the decision maker's preference information and yield objective solutions. The selection of these methods depends on the specific situation. The dominance method eliminates alternatives that are dominated by others in one or more attributes. This method does not require assumptions or attribute transformations. The process involves comparing alternatives sequentially and eliminating dominated ones. After (m-1) stages, a set of nondominated solutions is determined. This method is mainly used for initial filtering. In the fighter aircraft problem, the decision matrix is given, with X4 as a cost criterion. If A1 and A4 had the same maneuverability rate, A4 would dominate A1 because it excels in X1, X2, and X4, while other attributes are equal. Calpine and Golding derived the expected number of nondominated solutions when m alternatives are compared with respect to n attributes. They considered a special case where all elements in the decision matrix are uniformly distributed random numbers. The probability of a row being nondominated is calculated based on the ordering of elements in the nth column. The probability p(m, n) is derived recursively, and the average number of nondominated alternatives is calculated accordingly.Methods for multiple attribute decision making (MADM) include classical decision rules such as dominance, maximin, and maximum, which do not require the decision maker's preference information and yield objective solutions. The selection of these methods depends on the specific situation. The dominance method eliminates alternatives that are dominated by others in one or more attributes. This method does not require assumptions or attribute transformations. The process involves comparing alternatives sequentially and eliminating dominated ones. After (m-1) stages, a set of nondominated solutions is determined. This method is mainly used for initial filtering. In the fighter aircraft problem, the decision matrix is given, with X4 as a cost criterion. If A1 and A4 had the same maneuverability rate, A4 would dominate A1 because it excels in X1, X2, and X4, while other attributes are equal. Calpine and Golding derived the expected number of nondominated solutions when m alternatives are compared with respect to n attributes. They considered a special case where all elements in the decision matrix are uniformly distributed random numbers. The probability of a row being nondominated is calculated based on the ordering of elements in the nth column. The probability p(m, n) is derived recursively, and the average number of nondominated alternatives is calculated accordingly.