Step 1: Break down the title:
Yavana stands for the Muslim rulers of the Deccan in the language of that age. The word sthapanacharya means one who sets up or restores. So the king in question claimed to have re-established a sultanate.
Step 2: Link the title to an event:
Krishnadeva Raya fought Bijapur and won. After the victory he put the defeated Bahmani sultan back on his throne and took the proud title for this act.
This fits the career of the most famous ruler of the Tuluva dynasty.
Step 3: Use the timeline to cut options:
Harihara and Bukka lived in the fourteenth century, when the empire was only being set up. They were building a state, not restoring a sultan. Rama Raya came much later and is remembered for Talikota. None of them matches the story of restoring a sultan.
Step 4: Pick the answer:
Only Krishnadeva Raya matches both the title and the event. So option 3 is correct.
Step 5: Recheck the options:
Go through each name once more. Harihara and Bukka founded the state, so they were builders, not restorers of sultans. Rama Raya was a minister who held real power late in the story and fell at Talikota. Krishnadeva Raya alone had the military wins over the Deccan sultans that the title proudly describes. So option 3 stands and options 1, 2 and 4 stay wrong.
Final Answer:
Krishnadeva Raya is the ruler. This is option 3.
\[ \boxed{\text{Option 3}} \]