Exported images are under saturated.

[ironc20687436]

The right one is the exported image. It is less saturated than the original image. Do you have any reason to guess? 

[Ton Frederiks]

How are your Color Settings setup?

Is the Document Color Profile  the same as in your Color Settings?

How do you export?

[Mylenium · Accepted solution]

Standard answer: Lack of color management vs. color modes vs. the system's preview. You need to ensure that you're using the same color profiles for proof preview in AI that your system uses.

Mylenium

[JBLon88]

Could you explain this answer a little more please and give step by step about how it's accomplished.

Many thanks