Non-judgemental and Open-minded

Open-minded and non-judgemental are semantically related In some cases you can replace phrase "Open-minded" with "Non-judgemental", this phrases are similar.

Open-minded adjective - Willing to consider new or different ideas.

Non-judgemental and open-minded are semantically related in unbiased topic. You can use "Non-judgemental" instead an adjective phrase "Open-minded".