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基于L＊-格值逻辑上的BCH-代数中的直觉不分明化理想 被引量：2

On Intuitionistic Fuzzifying Ideals in BCH-algebra Based on L＊ Lattice-valued Logic
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摘要 在L*-格值逻辑的语义框架下,以L*-格值上的Lukasiewicz蕴涵算子为工具定义了L*-格值逻辑上的直觉不分明化BCH-代数的概念,将用集论所刻画的BCH-代数与理想的概念在L*-格值谓词演算下给予了新的刻画,讨论了直觉不分明化BCH-代数中的理想、闭理想及q理想的有关性质。 Under the L＊-lattice valued logic frame, we give the definition of intuitionistic fuzzifying BCH-algebra based on L＊-lattice valued logic by means of Lukasiewicz implication operator on L＊-lattice value, then we describe BCH-algebra and ideal on L＊-lattice valued predicate logic. Finally, we discuss the properties of ideal, closed ideal and q ideal in intuitionistic fuzzifying BCH-algebra.
作者 王森 张广济
机构地区 大连大学信息工程学院数学系
出处 《模糊系统与数学》 CSCD 北大核心 2010年第2期7-14,共8页 Fuzzy Systems and Mathematics
关键词 L＊-格值 LUKASIEWICZ蕴涵算子 闭理想 q理想 直觉不分明化BCH-代数 L＊ -lattice Valued Logic Lukasiewicz Implication Operator Closed Ideal q Ideal Intuitionistic Fuzzifying BCH-algebra
分类号 O153 [理学—基础数学]
  • 相关文献

参考文献13

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模糊系统与数学
2010年 第2期

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