Preventive geohazard assessment in heritage landscapes presents a methodological challenge, as environmental processes rarely operate within clearly bounded states. Instead, they evolve gradually across space and time and are often only partially observable. Conventional cumulative indices based on linear aggregation and fixed classification thresholds provide operational clarity but may suppress gradual activation, interaction effects, and uncertainty that are critical for preventive heritage management. This study develops a fuzzy geohazard assessment approach that extends cumulative hazard modeling through graded representation and uncertainty-aware aggregation. Environmental variables are represented as spatial fuzzy sets, allowing hazard conditions to be expressed as degrees of activation rather than discrete classes. Hazard-specific activation is derived through rule-based fuzzy inference, while cumulative geohazard conditions are synthesized using a weighted fuzzy γ aggregation operator that balances conjunctive behavior with precautionary disjunctive amplification. The approach is implemented within a Geographic Information System (GIS) environment and demonstrated in Parrhasian Heritage Park, a mountainous heritage landscape in Southern Greece. Results show that cumulative geohazard patterns respond systematically to variations in the precautionary parameter γ, enhancing transitional zones where multiple hazards coexist at moderate activation levels while preserving spatial continuity. Sensitivity analysis indicates that cumulative activation patterns remain structurally stable under moderate variations in membership calibration, supporting preventive GIS-based decision making.
George Faidon D. Papakonstantinou (Mon,) studied this question.