The Study Of Fuzzy Reasoning Based On Topological Transformation

Artificial intelligence is an important research field and widely concerned in the science of computer. Meanwhile, the study of uncertain reasoning is also an active branch and the key technology. In this paper, under the circumstance of fuzzy information , a fuzzy reasoning method based on topological transformation is given by employing theory of fuzzy mathematics and fuzzy topology .First, the principle of fuzzy reasoning based on topological transformation is constructed, then fuzzy topology based on inference rules and reasoning function is obtained.Secondly, some properties of reasoning function are discussed in details such as monotonicity, compatibility and satisfiablity. Further, general procedure of this method is summarized.Finally, the connection between topological transformation reasoning function and uniform space is studied. In addition, the group in uniform space is created.All above discussion is to provide suitable foundation and method for uncertain reasoning.