In this paper we further progress the analysis of the recently introduced multi-valued argumentation frameworks ( ). are an extension of Dung’s abstract argumentation, where arguments have a degree of truth associated with them. Here we describe a list of properties of considering the major multi-valued logics such as those proposed by Gödel, Zadeh and Łukasiewicz. We then propose a computation...

In this paper, we extend Nilsson’s probabilistic logic [1] to allow that each sentence S has three sets of possible worlds. We adopt the ideas of consistency and possible worlds introduced by Nilsson in [1], but propose a new method called linear equation method to deal with the problems of probabilistic inference, the results of our method is consistent with those of Yao’s interval-set model m...

Measure-valued Pólya urn processes (MVPP) are Markov chains with an additive structure that serve as extension of the generalized k-color model towards a continuum possible colors. We prove that, for any MVPP (μn)n≥0 on Polish space X, normalized sequence (μn/μn(X))n≥0 agrees marginal predictive distributions some random process (Xn)n≥1. Moreover, μn=μn−1+RXn, n≥1, where x↦Rx is transition kern...