Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2603.19050 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918398334599168 |
|---|---|
| author | Wolfert, A. R. M. |
| author_facet | Wolfert, A. R. M. |
| contents | Conventional multi-objective optimisation approaches (e.g., MOO-CP or MIP) fail in group decision-making by aggregating heterogeneous objectives without a valid preference foundation, producing Pareto sets instead of a unique actionable decision. As only humans define objectives, preferences constitute the legitimate basis for decision-making. Accordingly, four conditions for complex design-decision systems are established: (1) Preference-Key - all objectives, constraints, and trade-offs are evaluated within a unified preference domain using valid preference function modelling (PFM); (2) Integration - feasible system performance (object capability) and acceptable actor preferences (subject desirability) coexist within a single design-decision space; (3) Association - actors freely specify individual preferences and weights, enabling consistent aggregation towards group-optimal decision-making; and (4) Uniqueness - the solver identifies a single best-fit solution with maximum aggregated preference.
The ODESYS methodology, employing the IMAP solver, enables integrated multi-objective design optimisation and multi-criteria decision-making. Its extension within the ODESYS/FIVES formulation broadens applicability while achieving elegant simplicity, explicitly operationalising affine preference aggregation and preserving equivalence with validated ODESYS 1.0 results. By mapping system behaviour into a unified preference-performance domain, ODESYS/FIVES delivers a single best-fit solution, even for highly constrained problems, guaranteeing feasible and acceptable outcomes.
Two applications demonstrate transformation of multi-objective optimisation into pure group decision-making, achieving a best-fit-for-common-purpose within socio-physical reach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19050 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Preference-Based Optimisation in Group Decision-Making Wolfert, A. R. M. Optimization and Control Conventional multi-objective optimisation approaches (e.g., MOO-CP or MIP) fail in group decision-making by aggregating heterogeneous objectives without a valid preference foundation, producing Pareto sets instead of a unique actionable decision. As only humans define objectives, preferences constitute the legitimate basis for decision-making. Accordingly, four conditions for complex design-decision systems are established: (1) Preference-Key - all objectives, constraints, and trade-offs are evaluated within a unified preference domain using valid preference function modelling (PFM); (2) Integration - feasible system performance (object capability) and acceptable actor preferences (subject desirability) coexist within a single design-decision space; (3) Association - actors freely specify individual preferences and weights, enabling consistent aggregation towards group-optimal decision-making; and (4) Uniqueness - the solver identifies a single best-fit solution with maximum aggregated preference. The ODESYS methodology, employing the IMAP solver, enables integrated multi-objective design optimisation and multi-criteria decision-making. Its extension within the ODESYS/FIVES formulation broadens applicability while achieving elegant simplicity, explicitly operationalising affine preference aggregation and preserving equivalence with validated ODESYS 1.0 results. By mapping system behaviour into a unified preference-performance domain, ODESYS/FIVES delivers a single best-fit solution, even for highly constrained problems, guaranteeing feasible and acceptable outcomes. Two applications demonstrate transformation of multi-objective optimisation into pure group decision-making, achieving a best-fit-for-common-purpose within socio-physical reach. |
| title | Preference-Based Optimisation in Group Decision-Making |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2603.19050 |