Formal concept analysis via multi-adjoint concept lattices
作者： Jesús Medina , Manuel Ojeda-Aciego , Jorge Ruiz-Calviño
DOI: 10.1016/J.FSS.2008.05.004
关键词: Flexibility (engineering) 、 Galois connection 、 Theoretical computer science 、 Embedding 、 Mathematics 、 Fuzzy logic 、 Fuzzy set 、 Artificial intelligence 、 Representation theorem 、 Formal concept analysis 、 Lattice Miner 、 Logic
摘要: Several fuzzifications of formal concept analysis have been proposed to deal with uncertain information. In this paper, we focus on lattices under a multi-adjoint paradigm, which enriches the language providing greater flexibility user in that he/she can choose from number different connectives. Multi-adjoint are shown embed fuzzy extensions found literature, main results paper being representation theorem paradigm and embedding other well-known approaches.
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sci-hub.se 参考文章(22)
G. Georgescu, A. Popescu, Non-commutative fuzzy Galois connections soft computing. ,vol. 7, pp. 458- 467 ,(2003) , 10.1007/S00500-003-0280-4
Stanislav Krajci, The Basic Theorem on Generalized Concept Lattice. concept lattices and their applications. ,(2004)
Angus Macintyre, Trends in Logic Studies in logic and the foundations of mathematics. ,vol. 127, pp. 365- 367 ,(1989) , 10.1016/S0049-237X(08)70277-5
Jesús Medina, Manuel Ojeda-Aciego, Jorge Ruiz-Calviño, On Multi-adjoint Concept Lattices: Definition and Representation Theorem Formal Concept Analysis. pp. 197- 209 ,(2007) , 10.1007/978-3-540-70901-5_13
Bernhard Ganter, Rudolf Wille, C. Franzke, Formal Concept Analysis: Mathematical Foundations ,(1998)
Fabien Coulon, Jean-Marc Champarnaud, Theoretical study and implementation of the canonical automaton Fundamenta Informaticae. ,vol. 55, pp. 23- 38 ,(2002)
George Georgescu, Andrei Popescu, Concept lattices and similarity in non-commutative fuzzy logic Fundamenta Informaticae. ,vol. 53, pp. 23- 54 ,(2002)
Rudolf Wille, RESTRUCTURING LATTICE THEORY: AN APPROACH BASED ON HIERARCHIES OF CONCEPTS international conference on formal concept analysis. pp. 314- 339 ,(2009) , 10.1007/978-3-642-01815-2_23
Pascual Julián, Ginés Moreno, Jaime Penabad, On fuzzy unfolding: A multi-adjoint approach Fuzzy Sets and Systems. ,vol. 154, pp. 16- 33 ,(2005) , 10.1016/J.FSS.2005.03.013
George Georgescu, Andrei Popescu, Non-dual fuzzy connections Archive for Mathematical Logic. ,vol. 43, pp. 1009- 1039 ,(2004) , 10.1007/S00153-004-0240-4