Reasoning about Fuzzy Belief and Common Belief: With Emphasis on Incomparable Beliefs

Let us explain our motivations for studying the logic of fuzzy belief and common belief. It is not so unusual that one We formalize reasoning about fuzzy belief and believes something to some degree, or the degree of one's fuzzy common belief, especially incomparable beliefs, belief may be neither 0 nor 1. The notion of fuzzy belief is in multi-agent systems by using a logical system appropriate in such a case. Moreover, the notion of fuzzy based on Fitting's many-valued modal logic, common belief can be appropriate even in a case where any where incomparable beliefs mean beliefs whose degrees agent of a group does not have a fuzzy belief. To see this, are not totally ordered. Completeness and consider the following question. Is there anything that all the decidability results for the logic of fuzzy belief people in the world believe? Strictly speaking, there may be and common belief are established while implicitly no such thing as a common belief among all the people in the exploiting the duality-theoretic perspective on Fitting's world. Even if so, there may be something that most of the logic that builds upon the author's previous people in the world believe.