|Title||A fuzzy modal logic for belief functions|
|Publication Type||Conference Paper|
|Year of Publication||2001|
|Authors||Godo L, Hájek P, Esteva F|
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 standing for ' is believed'. Four our complete axiomatization (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 LPi1/2 wich puts Lukasiewicz and Product logics together.
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