藏传因明是藏族文化的重要组成部分，也是中华民族弥足珍贵的非物质文化遗产。目前，关于藏传因明的研究主要集中在哲学社会科学领域，而在自然科学领域的研究很少。本项目的目标是立足软空间，借助不确定性理论为藏传因明论式奠定数学理论基础，旨在促进藏传因明的发展。在对藏传因明论式系统研究时，首先采用软集理论对藏传因明论式以数学化语言进行描述，给出藏传因明论式中软宗因等相关的概念与知识度量方法，构建软空间上不同的藏传因明论式，揭示软藏传因明论式中各因素之间的关系。其次利用模糊集理论构建模糊软二支合因式推理方法，阐明其机理，并通过实际应用论证该推理方法的有效性。最后，比较模糊软二支合因式推理方法与现存的不确定性推理方法，揭示其优点；借鉴对称蕴涵推理方法，构建一种可在复杂多变的智能系统中进行延续推理的不确定性推理方法，阐明其相容性和鲁棒性等机理。

Tibetan hetuvidya is not only an import part of Tibetan culture but also a precious immaterial culture relics of Chinese nation. At present, the researches on Tibetan hetuvidya are mostly focused on philosophy and social sciences, but researches in the field of natural sciences are hardly seen in the literature. The goal of this project is to lay a certain mathematical theoretical foundation for Tibetan hetuvidya by using the uncertainty theory based on soft space and promote the development of Tibetan hetuvidya. In the systematic study of Tibetan hetuvidya reasoning, by describing the different Tibetan hetuvidya reasonings in mathematical language using soft set theory, this project firstly proposes the concepts of soft pratijna and hetu in Tibetan hetuvidya reasonings and the method of measuring knowledge and initiates several different Tibetan hetuvidya reasonings based on soft space. The relationship among various factors in soft Tibetan hetuvidya reasonings is also established. Secondly, an inference method concerning fuzzy soft two branches of reasoning by using fuzzy set theory is constructed and its mechanism is also clarified. Then the effectiveness of this inference method is illustrated by practical application. Finally, compared with the existing uncertain reasoning methods, the advantages of fuzzy soft two branches of reasoning are shown. Based on symmetric implicational method, an uncertainty reasoning method for continuous reasoning in complex and variable intelligent systems is introduced, and some of its mechanisms including compatibility and robustness are also analyzed.