The phrase "a classification system for" is correct and usable in written English.
You can use it when referring to a method or framework used to categorize or organize items, concepts, or data within a specific context.
Example: "The researchers developed a classification system for identifying different species of plants in the region."
Alternatives: "a categorization framework for" or "a taxonomy for".
Pettee set upon creating a classification system for Union's library collections to replace the fixed location system.
Sukhai MA, Craddock KJ, Thomas M et al. A classification system for clinical relevance of somatic variants identified in molecular profiling of cancer.
In our previous study, we proposed a classification system for radiological abnormalities seen in hemodialysis-related hip lesions.
A nomenclature is defined as a classification system for assigning names or terms in a scientific discipline.
The authors propose a classification system for offenses and an initial list of topics to discuss with victims.
Using tree-ring analysis, researchers have been able to develop a classification system for decaying trees to calculate how long it has been since they died.
A classification system for end caps is also developed in order to help simplify choosing or describing the particular carbon system under investigation.
In this work he proposed a classification system for meteorites, presented information on their composition and relationship to terrestrial rocks, and described their change in shape as they pass through the atmosphere.
The project developed a land use and habitat classification hierarchy applicable to the New Zealand urban context, including a classification system for private gardens.
In this work, a classification system for dermatology outpatients is designed, and their distribution at an outpatient dermatology clinic is described.
We describe a classification system for process launching mechanism and then present a performance evaluation of different process launching schemes based on our LIBI prototype.
