A group problem-solving technique in which members generate multiple ideas is called:

Brainstorming.

Explanation:

The problem-solving process can be defined as the systematic approach used to identify and determine the solution to a particular problem.

The steps involved in the problem-solving process are;

1. Identify and define the problem.

2. Analyze the problem by gathering informations.

3. Generate possible solutions.

4. Evaluate your solutions.

5. Implement and assess the solutions.

6. Evaluate the outcome.

A group problem-solving technique in which members generate multiple ideas is called brainstorming.

Basically, brainstorming is a creativity and problem-solving technique adopted by individuals or group of people by spontaneously gathering ideas through intensive thinking. Thus, it is used as a group problem-solving technique to generate possible solutions to a problem and to eventually make an informed decision in choosing the most effective and efficient solution.