2014•Electronic Notes in Theoretical Computer ScienceOpen access

Coalgebras for Fuzzy Transition Systems

Hengyang Wu, Yixiang Chen

Abstract

This paper studies a coalgebraic theory of fuzzy transition systems. Main conclusions include: the functor FA for deterministic fuzzy transition systems and the functor (P∘F)A for nondeterministic fuzzy transition systems preserve weak pullbacks, and the functor FA has a final coalgebra under some restricted conditions. Moreover, we show how to get a concrete (fuzzy) bisimulation from a coalgebraic bisimulation.

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Key concepts: Functor, Bisimulation, Coalgebra, Nondeterministic algorithm, Mathematics, Transition system, Fuzzy logic, Isomorphism (crystallography)