Final answer:
The term 'self-assured' is similar in meaning to 'arrogant' but has a more positive connotation, suggesting healthy self-confidence without dismissiveness or superiority. 'Self-confident' is another term with a similarly positive association.
Step-by-step explanation:
A word with a similar denotative meaning to arrogant but with a more positive connotation might be self-assured. Whereas arrogance can suggest a negative overestimation of one's abilities or worth, being self-assured conveys confidence in a more positive light. It indicates that the person believes in their own abilities or qualities without displaying the dismissiveness or superiority that can be implied by arrogance. Another similar term with a positive connotation is self-confident.