The Basics of Factor Spaces

The original definition of “factor spaces” was proposed by Peizhuang Wang [l]. He used factor spaces to explain the source of randomness and the essence of probability laws. In 1982, he gave an axiomatic definition of factor spaces [2]. Since then he has applied factor spaces to the study of artificial intelligence [3-51. Several applications in the area of fuzzy information processing have been discussed [6]. This chapter provides an introduction to the basic concepts and methods of applications of factor spaces.