Edge Effects on Line Segment instead of Full Shape Border
It would be nice to be able to create a shape that has different edges between different points. At the moment, the closest that you can get with this is the width tool or by deleting a segment (which causes a host of issues, since it would no longer be a shape).
More broadly, by isolating line segments as editable aspects of a shape, it would be great to be able to apply edge effects (feathering, roughen, blur, etc.) only to a select number of segments on a shape.
This would give finer control over shapes in Adobe Illustrator and make it possible to create more dynamic, detailed illustrations.
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      I’d agree, and this request is similar to that one — Apply any Cap and Corner style to each stroke’s corner and end points, http://illustrator.uservoice.com/forums/333657/suggestions/39306955 — but broader... 
 Today the appearance system works for the whole path, not its parts.A method exists though to do what you want — the Segment Removal effect from AG Utilities pack by Astute Graphics allows us to remove segments by many parameters (including index mask), thus making the style getting applied to some segments. 
 
          