Fuzzy Structure of Complex Belief Systems: Fuzzy Relations and Fuzzy Belief Sets

摘要

In previous work, Nescolarde-Selva and Uso-Domenech (2014a, b) discussed the theory that complex belief systems have a topologi-cal structure. In this article it is suggested that this structure is also fuzzy. We introduce the concepts of fuzzy sets in the context of beliefs (substantive and derived), and between derived beliefs themselves. Also introduced are the concepts of fuzzy covering and fuzzy invariance and the relationships between them.