Abstract: In order to deal with the problem of the combination of inference and inductive deduction in uncertainty environment, we first initiate the concept of three branches of fuzzy soft Tibetan hetuvidya reasonings by integrating three branches of Tibetan hetuvidya reasonings with fuzzy soft sets, and investigate some of interesting properties. Finally, the method to three branches of fuzzy soft Tibetan hetuvidya reasonings is applied to the determination of criminal cases, and its rationality and effective practicability are also expounded.

Key words: Hetuvidya, fuzzy soft set, three branches of fuzzy soft Tibetan Hetuvidya reasonings, criminal case