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Topological Residuated Lattice: A Unifying Algebra Representation of Some Rough Set Models

机译:拓扑剩余格:一些粗糙集模型的统一代数表示

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摘要

As a unifying algebra representation of some rough set models (include Pawlak standard rough set, (I, T)-fuzzy rough set, residuated lattice based fuzzy rough set and intuitionistic fuzzy rough set), a new notion of the topological residuated lattice is introduced, and its basic properties are given. Moreover, the relationship between topological residuated lattice and triangle algebra are investigated.
机译:作为一些粗糙集模型(包括Pawlak标准粗糙集,(I,T)-模糊粗糙集,基于剩余格的模糊粗糙集和直觉模糊粗糙集)的统一代数表示,引入了拓扑剩余格的新概念,并给出了其基本属性。此外,研究了拓扑剩余格与三角代数之间的关系。

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