Stronger, more negative connotations:
* Authoritarian
* Inflexible
* Intransigent
* Close-minded
* Uncompromising
* Dictatorial
* Dogmatist (noun)
* Fanatical
* Ultra-conservative
* Bigoted
More neutral connotations:
* Assertive
* Convinced
* Firm
* Principled
* Strident
* Opinionated
Weaker, more positive connotations:
* Confident
* Certain
* Strong-willed
* Believes strongly
The best synonym will depend on the context of your sentence.