OPA Solver Version 1.4: Multiple-Criteria Decision Analysis Software



- Virtual Tour of the Software:

- This solver can be used for individual and group decision-making problems.

- If you only need to calculate the weight of criteria (the problem has not any alternative), please watch this video:

- This version cannot support the degree of preference. Please use continuous ranks (i.e., you cannot use 1, 2, 3, 5 because the ranks are not continuous)

- The weights of the experts and criteria show their role on the final decision (objective + subjective).

- Don't enter zero value as input data into the software.


Ataei, Y., Mahmoudi, A., Feylizadeh, M. R., & Li, D. F. (2020). Ordinal Priority Approach (OPA) in Multiple Attribute Decision-Making. Applied Soft Computing, 86, 105893.


Mahmoudi, A., Javed, S.A. (2022) Probabilistic Approach to Multi-Stage Supplier Evaluation: Confidence Level Measurement in Ordinal Priority Approach. Group decision and negotiation, 31, 1051–1096. https://doi.org/10.1007/s10726-022-09790-1

Mahmoudi, A., Abbasi, M., Yuan, J., & Li, L. (2022) Large-Scale Group Decision-Making (LSGDM) for Performance Measurement of Healthcare Construction Projects: Ordinal Priority Approach.Applied Intelligence, https://doi.org/10.1007/s10489-022-04094-y


Mahmoudi, A., Javed, S.A. (2023) Uncertainty Analysis in Group Decisions through Interval Ordinal Priority Approach. Group decision and negotiation, https://doi.org/10.1007/s10726-023-09825-1