... |),(),(|minargˆ,}{,'∑∑∈∪∈−=nS y cxcyxznS y cxcyxRccdccdR The above updating function can be transformed into a minimization problem: yxccdccduccdccduuznS y cxcyxnS y cxcyxnS y cxcyxznS y cxcyx<−≤−≤∑∑∑∑∪∈∈∈∪∈}{,,,}{,),(),( ... The multi-criterion optimization function is: yxcchwccdvccdccduccdccduvuyxjijjii LccyxzSccyxSccyxSccyxzSccyxiyxnyxnyxnyxnyx<−=−≤−≤−+∑∑ ∑∑∑∑∑∈∪∈∈∈∪∈2)),(),(( ... single level of a tax-onomy. For a taxonomy T(C,R), we define its information function as: ∑∈<=C y cxcyxyxccdTInfo,,),()( (1) Similarly, we define the information function for an...