TableĀ 1 Types of interactions.

From: Spatial and temporal evolution and influencing factors of human settlement environment quality in Xinjiang, China

Basis of judgement

Interaction

\(\:\text{q}({X}_{i}\cap\:{X}_{j})<\text{M}\text{i}\text{n}\left(\text{q}\right({X}_{i}),\text{q}({X}_{j})\))

Nonlinear attenuation

\(\:\text{M}\text{i}\text{n}\left(\text{q}\right({X}_{i}),\text{q}({X}_{j})\))

Single-factor nonlinear attenuation

q(\(\:{X}_{i}\cap\:{X}_{j})>Max(q\left({X}_{i}\right),\text{q}\left({X}_{j}\right))\)

Two-factor enhancement

q(\(\:{X}_{i}\cap\:{X}_{j})=\text{q}({X}_{i})+\text{q}({X}_{j})\)

Independent

q(\(\:{X}_{i}\cap\:{X}_{j})>q({X}_{i})+\text{q}({X}_{j})\)

Nonlinear enhanced