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- W2058572562 abstract "We propose a description of continuous evolution of systems with uncertainty based on min or product t-norms of fuzzy logic. We show that the dynamics has a Hamiltonian form in the extended state space composed from “physical” and “information” components if the min t-norm is used. This description is useful when available information on a system behavior is mainly ordinal and not numerical. It was shown, also, that if the product t-norm is used, the dynamics on a continuous universe is similar to the stochastic processes dynamics, but a probability distribution is replaced by a possibility density. We show, that such replacement leads to a principal extension of the stochastic process theory and correspondence differential equation of evolution for the possibility density cover most basic evolution equations in physics." @default.
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- W2058572562 date "1999-08-01" @default.
- W2058572562 modified "2023-10-14" @default.
- W2058572562 title "Fuzzy dynamics as an alternative to statistical mechanics" @default.
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- W2058572562 doi "https://doi.org/10.1016/s0165-0114(98)00357-1" @default.
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