• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 19 Issue 2
Apr.  2006
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Article Contents
SUN Shibao, QIN Keyun. Construction Method of Fuzzy Concept Lattices Based on Residual Implication[J]. Journal of Southwest Jiaotong University, 2006, 19(2): 259-263.
Citation: SUN Shibao, QIN Keyun. Construction Method of Fuzzy Concept Lattices Based on Residual Implication[J]. Journal of Southwest Jiaotong University, 2006, 19(2): 259-263.

Construction Method of Fuzzy Concept Lattices Based on Residual Implication

  • Received Date: 09 Mar 2005
  • Publish Date: 25 Apr 2006
  • The residual implication generated from lower semi-continuous triangular norm was introduced.Fuzzy concept lattices with respect to a fuzzy formal context was derived,and their hierarchical structure,fuzzy concept generated from fuzzy set and the fix point of Wille operator were discussed.Examples were presented to illustrate the constructing method of fuzzy concept lattices based on Godel residual implication.

     

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  • WILLE R.Restructuring lattice theory:an approach based on hierarchies of concepts[C] //Ordered Sets.Boston:Springer,1982:445-470.[2] GODIN R,MILI H,MINEAU G W,et al.Design of class hierarchices based on concept (Galois) lattices[J].Theory and Application of Object System,1998,4(2):117-134.[3] SAHAMI M.Learning classification rules using lattices (Extended Abstract)[C] // Proc of the Eighth European Conf on Machine Learning.Berlin:Springer-Verlag,1995:343-346.[4] GODIN R,MISSAONI R,APRIL A.Experimental comparison of navigation in a Galois lattices with conventional information retrieval metheds[J].International Journal of Man-Machine Studies,1993,38:747-767.[5] BURUSCO A,FUENTES G R.The study of the l-fuzzy concept lattice[J].Mathware Soft Computing,1994 (1):209-218.[6] BURUSCO A,FUENTES G R.Concept lattices defined from implication operators[J].Fuzzy Sets and Systems,2000,114:431-436.[7] BURUSCO A,FUENTES G R.Construction of the l-fuzzy concept lattice[J].Fuzzy Sets and Systems,1998,97:109-114.[8] BELOHLAVEK R.Concept lattices and order in fuzzy logic[J].Annals of Pure and Applied Logic,2004,128:277-298.[9] 秦克云,陈志国.关于格蕴涵代数的几点注记[J].西南交通大学学报,2003,38(1):1-3.QIN Keyun,CHEN Zhiguo.Some remarks on lattice implication algebra[J].Journal of Southwest Jiaotong University,2003,38(1):1-3.[10] 王琼,何一农,宋振明.基于剩余蕴涵的模糊三Ⅰ方法的支持度[J].西南交通大学学报,2004,39(4):550-553.WANG Qiong,HE Yinong,SONG Zhenming.Sustaining degree of fuzzy triple Ⅰ method based on residual implication[J].Journal of Southwest Jiaotong University,2004,39 (4):550-553.[11] MORSI N N,YAKOUT M M.Axiomatics for fuzzy rough sets[J].Fuzzy Sets and Systems,1998,100:327-342.
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