On a Probabilistic Approach for Capricious Vague Perceptions of Random Phenomena

抄録

In this paper, the author investigates a class of fuzzy random sets as the vague perception of a crisp phenomenon or a crisp random phenomenon. First, considering that the vague perception of a crisp phenomenon fluctuates slightly but randomly due to the state of a capricious person’s mind, a new class of fuzzy random set is introduced. Secondly, the proposed fuzzy random set is generalized as the vague perception of a crisp random phenomenon. The expectations of the introduced fuzzy random sets are investigated from the viewpoint of the multivalued logic proposed by Kwakernaak[1].