A Note on Fuzzy Reasoning and Granularized Possible Worlds
Tetsuya Murai · AIP conference proceedings · 2004
This paper aims to discuss how reasoning processes are represented in terms of granularization of possible worlds. Firstly, processes of classical inference are formulated from a point of view of reconstructing Kripke‐style models. The essential point of the reconstruction is that some possible worlds are amalgamated to generate granules of worlds and vice versa. Next, the idea is applied for fuzzy reasoning processes by considering fuzzy sets as fuzzily granularized possible worlds. One of advantages in the approach is that linguistic truth values with linguistic hedges are naturally introduced.