With it you can basically choose your level of expressiveness while you develop your program (with different levels for different parts of your program). The frustrating trade-off between expressiveness and readability[2] is the main reason I love this paradigm. Unfortunately LOP has never been really trendy. Hope it will change soon.
[1] http://en.wikipedia.org/wiki/Language-oriented_programming
[2] For programming languages I would rather speak of readability (as opposed to analyzability) because a program is often not written in stone but "alive" (it's modified, enhanced over time...). It probably does not apply to the other fields discussed in the article though.