Thoughtful or deliberate:
* Deliberated
* Reflected
* Meditated
* Evaluated
* Assessed
* Examined
* Reviewed
* Contemplated
* Weighed
* Mused
Respected or valued:
* Esteemed
* Honored
* Appreciated
* Valued
* Regarded
* Recognized
* Admired
Believed or judged:
* Believed
* Judged
* Deemed
* Held
* Taken to be
Other possible synonyms:
* Noted
* Observed
* Taken into account
* Accounted for
* Taken into consideration
The best synonym will depend on the specific situation. For example, if you're talking about something being carefully thought over, "deliberated" might be a good choice. If you're talking about someone being respected, "esteemed" might be more appropriate.