"based on their purpose" is correct and usable in written English.
You can use it when you want to explain the decision or action of something based on a particular reason or goal. For example: The students were divided into different groups based on their purpose.
Here are some examples of verbs based on their purpose.
After identifying conventional classifications, we propose a new taxonomy of MoCs based on their purpose in the design flow.
There are two types of tactile maps, based on their purpose, scale, and features: orientation and mobility; and geographical, which includes general reference and thematic maps.
The separation of concerns in the development of numerical models not only leads to a separation into components but, based on their purpose, these components may also be written in different programming languages.
The review characterizes different FRP anchorage devices based on their purpose and behavior, which function in different ways and thus serve different purposes.
Lindell and Whitney, Lindell and Prater, and Terpstra and Lindell ask this question in greater detail: the first two studies ask respondents to rate the hazard- and resource-related attributes associated with individual adjustments and the third study requests these ratings for adjustments grouped based on their purpose (e.g., emergency kits, hazard information, emergency plans).
We categorized the data sources based on their purposes and uses, geographic distribution, and other characteristics.
He seeks to discover and share these patterns, thereby laying bare why photographs were created and how they differ from one another based on their intended purpose.
At a time when existing multilateral development banks are having a difficult time justifying their existence based on their original purpose (i.e. to fight poverty and promote development), given the significant growth of the middle class globally and the 'rise of the rest,' how can a new development bank be justified at this time?
In addition to providing a depository summary of a wide range of current existing methods and tools for water-energy nexus analysis, the paper discusses these approaches based on their main purposes.
The shapes of such vehicles are varied based on their particular purposes [11].
