Si-yu-ki or 'The Records of the Western World' was written by:

Hiuen Tsiang

The correct answer is Option (4) - Hiuen Tsiang

The correct author of "Si-yu-ki" or "The Records of the Western World" is Hiuen Tsiang.

Hiuen Tsiang, also known as Xuanzang, was a Chinese Buddhist monk, scholar, and traveler who embarked on a journey to India in the 7^th century AD. During his extensive travels, he meticulously documented his experiences, observations, and encounters with various cultures and societies. "Si-yu-ki" is the record of his travels and remains an invaluable historical and cultural resource for understanding ancient India and neighboring regions.