– hierarchical or partitional
– hierarchical orpartitional– overlapping or non-overlapping– fuzzy or crisp– complete or incomplete
Note: Each part should be labeled with four characteristics,e.g., partitional, overlapping, crisp, and incomplete. Also, if youfeel there may be some ambiguity about what characteristics agrouping has, provide a short justification of your answer.
Case 1: The objects are the students in a class. There aregroups for each official grade students received for the class.
Case 2: The objects are cities. There are groups of citiescorresponding to various locations, namely, county (local region),state or province, and country.
Case 3: The objects are the applicants to a college. Eachapplicant is assigned a score from 0 to 10 indicating thelikelihood/desirability of their admission. Even before anydecisions have been made, the admissions personnel view thestudents as belonging to two groups: those that will be acceptedand those that will be rejected.
Answer:
Case-1:The objects are the students in a class.There are groups for each official grade students received for theclass.
partitional, non-overlapping, crisp,complete.
Here the students will be partitioned into clusters withseparate category to each no student having two grades.
Case 2: The objects are cities. There aregroups of cities corresponding to various locations, namely, county(local region), state or province, and country.
hierarchical, overlapping, fuzzy,incomplete.
The country will come first, then state and county. Furtherthere will be overlapping and it will be fuzzy as there may not beclearly defined demarcated boundaries. Moreover there may beindependent entities hence it is incomplete.
Case 3: The objects are the applicants to acollege. Each applicant is assigned a score from 0 to 10 indicatingthe likelihood/desirability of their admission. Even before anydecisions have been made, the admissions personnel view thestudents as belonging to two groups: those that will be acceptedand those that will be rejected.
partitional, non-overlapping, crisp,complete.
The students will be classified based on the scores, eachstudent will have a unique score with crisp marks. Moreover all thestudents will be classified.
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