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L-Fuzzy Rough Set Based on Complete Residuated Lattice 被引量：1

L-Fuzzy Rough Set Based on Complete Residuated Lattice
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摘要 Residuated lattice is an important non-classical logic algebra, and L-fuzzy rough set based on residuated lattice can describe the information with incompleteness, fuzziness and uncomparativity in information systems. In this paper, the representation theorems of L-fuzzy rough sets based on residuated lattice are given. The properties and axiomatic definition of the lower and upper approximarion operators in L-fuzzy rough sets are discussed. Residuated lattice is an important non-classical logic algebra, and L-fuzzy rough set based on residuated lattice can describe the information with incompleteness, fuzziness and uncomparativity in information systems. In this paper, the representation theorems of L-fuzzy rough sets based on residuated lattice are given. The properties and axiomatic definition of the lower and upper approximarion operators in L-fuzzy rough sets are discussed.
作者 吴正江 秦克云
机构地区 Intelligent Control and Development Center Department of Mathematics
出处 《Journal of Southwest Jiaotong University(English Edition)》 2008年第1期95-98,共4页 西南交通大学学报（英文版）
基金 The National Natural Science Foundation of China (No60474022)
关键词 Residuated lattice L-Fuzzy rough set Approximation operator Residuated lattice L-Fuzzy rough set Approximation operator
分类号 O159 [理学—基础数学]
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共引文献9

同被引文献9

  • 1张小红.基于左连续伪T-模的非可换模糊逻辑系统PUL＊[J].数学进展,2007,36(3):295-308. 被引量：6
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  • 3ZHU William. Relationship between generalized rough sets based on binary relation and coveting [J].Information Sciences, 2009, 179 (3):210-225.
  • 4RADZIKOWSKA M A, KERRE E E. On L-fuzzy rough sets[ C]// Peter J F. Artificial Intelligence and Soft Computing, BerlinHeidelberg: Springer-Verlag, 2004.
  • 5RADZIKOWSKA A M, KERRE E E. Fuzzy Rough sets based on residuated lattices [ C ]// PETERS J F. Transactions on Rough Sets II. BerlinHeidelberg: Springer-Verlag, 2004.
  • 6WU W Z, LEUNG Y, MI J S. On Characterizations of (I, T)-fuzzy Rough approximation operators[J]. Fuzzy Sets and Systems, 2005, 154( 1 ) :76-102.
  • 7ZHANG Xiaohong. Topological residuated lattice: a unifying algebra representation of some Rough set models [ C ]//Rough Sets and Knowledge Technology (RSKT), 2009, Australia: Springer.
  • 8LIU Xuejin, WANG Zhudeng. On very true operators and v-filters[ J]. Wseas Transactions on Mathematics, 2008, 10(7 ) : 133-137.
  • 9王国胤,姚一豫,于洪.粗糙集理论与应用研究综述[J].计算机学报,2009,32(7):1229-1246. 被引量：366

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Journal of Southwest Jiaotong University(English Edition)
2008年 第1期

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