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The responses in multiresponse surface optimization are often in conflict. To obtain a satisfactory compromise, the preference information of a decision maker (DM) on the tradeoffs among the responses should be incorporated into the problem. In most existing works, the DM is required to provide his/her preference information through preference parameters before solving the problem. However, extracting the preference parameter values representing the preference structure of the DM is often difficult. To overcome these difficulties, several alternative methods that do not require the preference information of the DM before solving the problem have been suggested. These alternative methods assess the preference parameters of the DM in a posteriori or progressive manner and are called posterior or interactive methods, respectively. This paper reviews specific types of posterior and interactive methods, which are referred to as solution selection methods. In solution selection methods, the DM provides his/her preference information in the form of solution selection. The required information is easy for the DM to provide.