Deputy is a different concept from Chief. Chief is related to Rank. Rank is a type of Line. 
Preparation is a synonym of Cooking. Cooking is related to Measure. Measure is related to Math. 
Deputy <--DistinctFrom--> Chief <--RelatedTo--> Rank --IsA--> Line 
Preparation <--Synonym--> Cooking <--RelatedTo--> Measure <--RelatedTo--> Math 