Origins and meanings for the name Yasya:
1. Diminutive form of: Yesenia, Yaroslava, Yana, Yasmina etc
2. Slavic (Russian Яся) name derived from the word ясная [yasnaya] which actually means - "clear; obvious, evident; lucid".
3. Arabic name, feminine form of Yasin - "the opening letters of the first verse of surah Ya Sin (36:1)". See Yasina