Multi-attribute decision-making (MADM) problems are among the central challenges in the field of decision-making, aiming to help decision- makers (DMs) select the optimal alternative from a set of alternatives when faced with multiple mutually conflicting evaluation criteria. In real-world complex situations, DMs often prefer to use more natural and intuitive linguistic terms for evaluation rather than precise numerical values. At the same time, traditional MADM methods frequently neglect the DMs’ intrinsic psychological and behavioral factors when constructing decision models. To effectively address these challenges, this paper proposes a novel decision method that integrates regret theory (RT) with the multi-objective optimization by ratio analysis (MOORA) method under a probabilistic linguistic term set (PLTS) framework. Compared with existing methods, the main contributions of this paper can be summarized in four aspects: (1) To address deficiencies in existing distance formulas for PLTS, we innovatively introduce the Jensen-Shannon (JS) divergence to construct a more reasonable and accurate distance calculation formula. Based on this, a new similarity is derived, and a distance based attribute weights method is proposed. (2) By introducing -level similarity classes, this paper proposes a new method for calculating conditional probabilities of alternatives. Combining the aforementioned attribute weights, weighted conditional probabilities are constructed. (3) To more accurately capture DMs’ psychological behavior, this paper integrates RT with the MOORA method to construct a relative utility function that effectively reflects DMs’ behavioral perceptions. (4) By combining weighted conditional probabilities with the relative utility function, a novel three-way decision (TWD) method is formed; this method not only flexibly allows for deferred decisions when evaluation information is insufficient but also comprehensively accounts for DMs’ risk preferences and regret psychology, thereby producing decisions more aligned with real-world contexts. Finally, through analysis of practical case studies and comparative experiments with several classical methods, the proposed method is thoroughly validated for its significant advantages and practical value in decision performance, stability, and adaptability. We believe this method offers a more scientific and human-centered solution for MADM in complex uncertain environments.
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