We show that the methodology for testing the existence and computation the greatest simulations and bisimulations, developed in the framework of fuzzy automata [M. Ćirić et al., Fuzzy Sets and Systems 186 (2012) 100–139, 208 (2012) 22–42], can be applied in a similar form to weighted automata over an additively idempotent semiring. We define two types of simulations and four types of bisimulati...

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This article deals with the recognition of recurring multivariate time series patterns modelled sample-point-wise by parametric fuzzy sets. An efficient classification-based approach for the online recognition of incompleted developing patterns in streaming time series is being presented. Furthermore, means are introduced to enable users of the recognition system to restrict results to certain ...

Some special general aggregation operators are given with respect to different ordering relations on the set of all fuzzy subsets of a universe X, F(X ). The proof that pointwise extensions of aggregation operators are general aggregation operators with respect to the ordering fuzzy subset (⊆F ) is given. Also, we have proved that min–extensions of aggregation operators are general aggregation ...

An often raised objection to fuzzy logic can be articulated as follows. Fuzzy sets are intended to represent vague collections of objects. On the one hand, boundaries of such collections are inherently imprecise. On the other hand, fuzzy sets are defined by membership degrees which are precise. There is, therefore, an obvious discrepancy between the imprecision of a collection and the precision...

Fuzzy cellular automata (FCA) are continuous cellular automata where the local rule is defined as the “fuzzification” of the local rule of a corresponding Boolean cellular automaton in disjunctive normal form. In this paper, we consider circular FCA; their asymptotic behaviours had previously been observed through simulation and FCA had been empirically classified accordingly. However, no analy...