In the decision-making process, it is common to encounter disagreements that can undermine the importance of information through penalties.This article proposes a new penalty function based on Bonferroni means and ordered weighted averaging (OWA), referred to as Bonferroni OWA-based penalties (BP-OWA).Likewise, this operator can be extended with induced variables, heavy weights, and weighted averages.This approach's main advantage is that it captures the importance, preferences, expectations, and attitudes associated with penalty gradation, the interrelationships among arguments, weighting vectors, and the reordering process, which considers approximate reasoning in decisionmaking.Finally, new methods are applied to asset selection for stock market investment using Yahoo Finance, with different penalty weights for stocks, generating new return expectations to be considered in the decision of which stock to include in the portfolio.