System portfolio selection with decision-making preference baseline value for system of systems construction

•A baseline value based method is introduced into multiple criteria problems, where redundant solutions always exist in non-dominated solutions.•Different selection strategies are analyzed on single and multiple objectives problems under baseline value.•The VIKOR method is extended to E-VIKOR, which is able to deal with evaluation problems with incomplete information, denoted by an interval mode in the paper. For multi-objective problems, most corresponding methods will terminate when the non-dominated set (Pareto set) is acquired, while some redundant systems may exist in it. The same situation may appear in the weapon system portfolio selection as it always tends to be a multi-objective problem. The paper employs a baseline-based method to decide whether to select a redundant system. First, the problem is analyzed in depth to demonstrate the connotation of baseline and related concepts are defined. Then, based on the definition of the redundancy system, baseline system, and baseline value, the weapon system portfolio selection approach with regard to a baseline value is proposed. Starting from the two core parts of the approach, selection strategy analysis, and weapon systems ranking, the strategy analysis of weapon system selection under a single objective and multiple objectives were performed. Subsequently, the interval number theory was employed to extend the VIKOR method to the E-VIKOR method, with a linear programming model as the weighting method under uncertainties to rank the candidate weapon systems. Finally, a case with three different ranking results of candidate weapon systems are studied under different weighting schemes. Based on the ranking results, baseline value, and selection strategy, the weapon system portfolio refining was developed.