Títol | A fuzzy Modal Logic for Belief Functions |
Publication Type | Journal Article |
Year of Publication | 2003 |
Authors | Godo L, Hájek P, Esteva F |
Journal | Fundamenta Informaticae |
Volume | 57 |
Número | 2-4 |
Paginació | 127-146 |
Resum | In this paper we introduce a new logical approach to reason explicitly about Dempster-Shafer belief functions. We adopt the following view: one just starts with Boolean formulas ? and a belief function on them; the belief of ? is taken to be the truth degree of the (fuzzy) proposition B? standing for “? is believed”. For our complete axiomatizacion (Hylbert-style) we use one of the possible definitions of belief, namely as probability of (modal) necessity. This enables us to define a logical system combining the modal logic S5 with an already proposed fuzzy logic approach to reason about probabilities. In particular, our fuzzy logic is the logic ??1/2 which puts Lukasiewicz and Product fuzzy logics together |