Monotonic Interval-Valued OWA Operators and Choquet Integrals under Generated Admissible Orders

Abstract

In the context of multi-criteria decision-making, the ordered weighted averaging (OWA) operator and Choquet Integral (CI) emerge as two pivotal weighted aggregation operators. Their core features include the linear order structure and the monotonicity. However, there is currently no unified method for constructing monotonic OWA operators and CIs under a certain admissible order within the interval-valued fuzzy framework. Based on the complete lattice structure of the space of all closed subintervals of [0, 1] under the generated admissible order, we propose a unified method for constructing the monotonic interval-valued OWA operators and CIs. Moreover, we theoretically prove rigorously that the proposed OWA operators and CIs satisfy the axiomatic definition of aggregation operator, particularly the monotonicity under a certain admissible order. Finally, we establish a multi-expert decision-making algorithm based on the proposed operators, where the overall preference of each alternative is obtained by aggregating its interval-valued evaluations across admissible orders. The effectiveness of the proposed approach is illustrated through a practical decision-making example.OPEN ACCESS Received: 27/11/2025 Accepted: 23/02/2026 Published: 29/05/2026

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