一种新的模糊逻辑代数系统
A New Kind of Algebraic Systems for Fuzzy Logic
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摘要: 基于对模糊逻辑和模糊推理的系统研究,一种新的模糊逻辑代数系统———R代数已于近期被建立,这 为模糊逻辑提供了一种新的代数框架。文中对R0代数作进一步研究,给出R0代数的一系列代数性质,并澄清 R0代数与其它模糊逻辑代数系统之间的关系。Abstract: Based on a systematic research on fuzzy logic and fuzzy reasoning, a new kind of algebraic systems-R algebras have been established recently, providing a new algebraic basis for fuzzy logic. In this paper, R0algebras are further studied. Some properties of R0algebras are given out, and the relationship among R0algebras and other algebraic systems related to fuzzy logic is clarified.
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Key words:
- fuzzy logic /
- algebras /
- R0algebras /
- weak R0algebra /
- FI algebra /
- residue lattice
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