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Finite Difference Methods for Hyperbolic PDEs
Published in Victor G. Ganzha, Evgenii V. Vorozhtsov, Numerical Solutions for Partial Differential Equations, 2017
Victor G. Ganzha, Evgenii V. Vorozhtsov
(see also (2.3.18)). This function takes the value f (κ) = 1 at any pont κ at which the difference scheme under consideration is stable. At the unstable points κ the function (2.13.2) takes the value 0. A function, which takes only the values 1 or 0, is termed a binary function in the theory of digital image processing.32
Axiomatic characterizations of (𝔾, 𝕆)-fuzzy rough approximation operators via overlap and grouping functions on a complete lattice
Published in International Journal of General Systems, 2023
Yan Sun, Bin Pang, Ju-Sheng Mi
If a continuous t-conorm2 is positive, then it is a grouping function.Given a complete lattice L with a join-irreducible element and satisfying meet-infinite distributive law (MID), i.e. a binary function : defined by is a grouping function.Given a chain L, for each , the binary function : defined by is a grouping function.
The n-uninorms with continuous underlying t-norms and t-conorms
Published in International Journal of General Systems, 2021
Assume an Let be a commutative binary function. Then is called an n-neutral element of V if for and we have for all
An optimal integrated lot sizing and maintenance strategy for multi-machines system with energy consumption
Published in International Journal of Production Research, 2020
Thus, to compute the total production cost, we will need a binary function to indicate whether an additive overtime is required or not. This binary function is θt and it is expressed by: The total production cost at period t using the HMMS model is given by: