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Volumn 4923 LNAI, Issue , 2008, Pages 42-67

Formal concept analysis as applied lattice theory

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED LATTICE THEORY; FORMAL CONCEPT ANALYSIS; MATHEMATICAL THEORY;

EID: 41549098356     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-78921-5_3     Document Type: Conference Paper
Times cited : (13)

References (60)
  • 1
    • 0003756662 scopus 로고
    • Ordre et Classification. Algèbre et Combinatoire
    • Paris, Librairie Hachette
    • Barbut, M., Monjardet, B.: Ordre et Classification. Algèbre et Combinatoire. Collection Hachette Université. Paris, Librairie Hachette (1970)
    • (1970) Collection Hachette Université
    • Barbut, M.1    Monjardet, B.2
  • 2
    • 37249083646 scopus 로고    scopus 로고
    • The ToscanaJ Suite for implementing conceptual information systems
    • Becker, P., Hereth Correia, J.: The ToscanaJ Suite for implementing conceptual information systems. In: [GSW 2005], pp. 324-348 (2005)
    • (2005) GSW , pp. 324-348
    • Becker, P.1    Hereth Correia, J.2
  • 4
    • 41549147887 scopus 로고    scopus 로고
    • Features of interaction between Formal Concept Analysis and Algebraic Geometry
    • Becker, T.: Features of interaction between Formal Concept Analysis and Algebraic Geometry. In: [GSW 2005], pp. 49-80 (2005)
    • (2005) GSW , pp. 49-80
    • Becker, T.1
  • 5
    • 38049036823 scopus 로고    scopus 로고
    • Becker, T.: Polynomial embeddings and representations. In: [KS 2007], pp. 281-303 (2007)
    • Becker, T.: Polynomial embeddings and representations. In: [KS 2007], pp. 281-303 (2007)
  • 6
    • 0004190631 scopus 로고
    • 1st edn. American Mathematical Society, Providende
    • Birkhoff, G.: Lattice theory, 1st edn. American Mathematical Society, Providende (1940)
    • (1940) Lattice theory
    • Birkhoff, G.1
  • 10
    • 33745567039 scopus 로고    scopus 로고
    • Denecke, K, Erné, M, Wismath, S.L, eds, Kluwer. Dordrecht
    • Denecke, K., Erné, M., Wismath, S.L. (eds.): Galois connections and applications. Kluwer. Dordrecht (2004)
    • (2004) Galois connections and applications
  • 11
    • 38049026483 scopus 로고    scopus 로고
    • Semantology as basis for Conceptual Knowledge Processing
    • Kuznetsov, S.O, Schmidt, S, eds, ICFCA 2007, Springer, Heidelberg
    • Eklund, P., Wille, R.: Semantology as basis for Conceptual Knowledge Processing. In: Kuznetsov, S.O., Schmidt, S. (eds.) ICFCA 2007. LNCS (LNAI), vol. 4390, pp. 18-38. Springer, Heidelberg (2007)
    • (2007) LNCS (LNAI , vol.4390 , pp. 18-38
    • Eklund, P.1    Wille, R.2
  • 12
    • 33748936851 scopus 로고    scopus 로고
    • Formal Concept Analysis: Foundations and applications
    • Ganter, B, Stumme, G, Wille, R, eds, State-of-the-Art Survey, Springer. Heidelberg
    • Ganter, B., Stumme, G., Wille, R. (eds.): Formal Concept Analysis: foundations and applications. State-of-the-Art Survey. LNCS (LNAI), vol. 3626. Springer. Heidelberg (2005)
    • (2005) LNCS (LNAI , vol.3626
  • 13
    • 0039611607 scopus 로고
    • Implikationen und Abhängigkeiten zwischen Merkmalen
    • Degens, P.O, Hennes, H.-J, Opitz, O, eds, Indeks, Frankfurt
    • Ganter, B., Wille, R.: Implikationen und Abhängigkeiten zwischen Merkmalen. In: Degens, P.O., Hennes, H.-J., Opitz, O. (eds.) Die Klassifikation und ihr Umfeld, pp. 171-185. Indeks, Frankfurt (1986)
    • (1986) Die Klassifikation und ihr Umfeld , pp. 171-185
    • Ganter, B.1    Wille, R.2
  • 16
    • 33746617416 scopus 로고    scopus 로고
    • Semantology: Basic Methods for Knowledge Representations
    • Schärfe, H, Hitzler, P, Øhrstrøm, P, eds, ICCS, Springer, Heidelberg
    • Wille, R., Gehring, P.: Semantology: Basic Methods for Knowledge Representations. In: Schärfe, H., Hitzler, P., Øhrstrøm, P. (eds.) ICCS 2006. LNCS (LNAI), vol. 4068, pp. 215-228. Springer, Heidelberg (2006)
    • (2006) LNCS (LNAI , vol.4068 , pp. 215-228
    • Wille, R.1    Gehring, P.2
  • 17
    • 0002819235 scopus 로고
    • Families minimales d'implications informatives resultant d'un tableau de données binaires.
    • Guigues, J.-L., Duquenne, V.: Families minimales d'implications informatives resultant d'un tableau de données binaires. Math. Sci. Humaines 95, 5-18 (1986)
    • (1986) Math. Sci. Humaines , vol.95 , pp. 5-18
    • Guigues, J.-L.1    Duquenne, V.2
  • 19
    • 0000296370 scopus 로고
    • A topological representation of lattices
    • Hartung, G.: A topological representation of lattices. Algebra Universalis 29, 273-299 (1992)
    • (1992) Algebra Universalis , vol.29 , pp. 273-299
    • Hartung, G.1
  • 21
    • 41549142385 scopus 로고    scopus 로고
    • Kant, I.: Logic. Dover, Mineola (1988)
    • Kant, I.: Logic. Dover, Mineola (1988)
  • 22
    • 0039926573 scopus 로고    scopus 로고
    • Kearnes, K.A., Vogt, F.: Bialgebraic contexts from dualities. Australian Math. Society (Series A) 60, 389-404 (1996)
    • Kearnes, K.A., Vogt, F.: Bialgebraic contexts from dualities. Australian Math. Society (Series A) 60, 389-404 (1996)
  • 23
    • 41549168749 scopus 로고    scopus 로고
    • Kollewe, W., Skorsky, M., Vogt, F., Wille, R.: TOSCANA - ein Werkzeug zur begrifflichen Analyse und Erkundung von Daten. In: [WZ 1994], pp. 267-288 (1994)
    • Kollewe, W., Skorsky, M., Vogt, F., Wille, R.: TOSCANA - ein Werkzeug zur begrifflichen Analyse und Erkundung von Daten. In: [WZ 1994], pp. 267-288 (1994)
  • 25
    • 41549136598 scopus 로고    scopus 로고
    • ICFCA 2007
    • Kuznetsov, S.O, Schmidt, S, eds, Springer, Heidelberg
    • Kuznetsov, S.O., Schmidt, S. (eds.): ICFCA 2007. LNCS (LNAI), vol. 4390. Springer, Heidelberg (2007)
    • (2007) LNCS (LNAI , vol.4390
  • 26
    • 41549113940 scopus 로고
    • Substitution decomposition of concept lattices
    • Hölder- PichlerTempsky, Wien
    • Luksch, P., Wille, R.: Substitution decomposition of concept lattices. In: Contributions to General Algebra, vol. 5, pp. 213-220. Hölder- PichlerTempsky, Wien (1987)
    • (1987) Contributions to General Algebra , vol.5 , pp. 213-220
    • Luksch, P.1    Wille, R.2
  • 27
    • 41549152620 scopus 로고
    • Formal concept analysis of paired comparisons
    • Bock, H.H, ed, North-Holland, Amsterdam
    • Luksch, P., Wille, R.: Formal concept analysis of paired comparisons. In: Bock, H.H. (ed.) Classification and related methods of data analysis, pp. 567-576. North-Holland, Amsterdam (1988)
    • (1988) Classification and related methods of data analysis , pp. 567-576
    • Luksch, P.1    Wille, R.2
  • 28
    • 37249066381 scopus 로고
    • Columbia University Press, New York
    • Piaget, J.: Genetic Epistomology. Columbia University Press, New York (1970)
    • (1970) Genetic Epistomology
    • Piaget, J.1
  • 29
    • 41549145887 scopus 로고    scopus 로고
    • Scheich, P., Skorsky, M., Vogt, F., Wachter, C., Wille, R.: Conceptual data Systems. In: Opitz, O., Lausen, B., Klar, R. (eds.) Information and classification. Concepts, methods and applications, pp. 72-84. Springer, Heidelberg (1993)
    • Scheich, P., Skorsky, M., Vogt, F., Wachter, C., Wille, R.: Conceptual data Systems. In: Opitz, O., Lausen, B., Klar, R. (eds.) Information and classification. Concepts, methods and applications, pp. 72-84. Springer, Heidelberg (1993)
  • 30
    • 0010786721 scopus 로고
    • The organization of stimuli and sensory neurons
    • Schiffmann, H., Falkenberg, Ph.: The organization of stimuli and sensory neurons. Physiology and Behavior 3, 197-201 (1968)
    • (1968) Physiology and Behavior , vol.3 , pp. 197-201
    • Schiffmann, H.1    Falkenberg, P.2
  • 31
    • 0000697648 scopus 로고
    • Measurement structures and linear inequalities
    • Scott, D.: Measurement structures and linear inequalities. Journal of Mathematical Psychologie 1, 233-244 (1964)
    • (1964) Journal of Mathematical Psychologie , vol.1 , pp. 233-244
    • Scott, D.1
  • 32
    • 9444235747 scopus 로고
    • Gaul, W, Schader, M, eds, Classification as a tool of research, North-Holland, Amsterdam
    • Stahl, J., Wille, R.: Preconcepts and set representations of concepts. In: Gaul, W., Schader, M. (eds.) Classification as a tool of research, North-Holland, Amsterdam (1986)
    • (1986) Preconcepts and set representations of concepts
    • Stahl, J.1    Wille, R.2
  • 34
    • 51249181509 scopus 로고
    • A topological representation theory for lattices
    • Urquhart, A.: A topological representation theory for lattices. Algebra Universalis 8, 45-58 (1978)
    • (1978) Algebra Universalis , vol.8 , pp. 45-58
    • Urquhart, A.1
  • 35
    • 0038876293 scopus 로고
    • Dissertation, TU Darmstadt. Shaker, Aachen
    • Vogt, F.: Bialgebraic contexts. Dissertation, TU Darmstadt. Shaker, Aachen (1994)
    • (1994) Bialgebraic contexts
    • Vogt, F.1
  • 36
    • 0346733408 scopus 로고
    • Subgroup lattices of finite Abelian groups
    • Baker, K. A, Wille, R, eds, Heldermann Verlag, Lemgo
    • Vogt, F.: Subgroup lattices of finite Abelian groups. In: Baker, K. A., Wille, R. (eds.) Lattice theory and its applications, pp. 241-259. Heldermann Verlag, Lemgo (1995)
    • (1995) Lattice theory and its applications , pp. 241-259
    • Vogt, F.1
  • 38
    • 0040654405 scopus 로고
    • Ideas of Algebraic Concept Analysis
    • Bock, H.-H, Lenski, W, Richter, M.M, eds, Springer, Heidelberg
    • Vogt, F., Wille, R.: Ideas of Algebraic Concept Analysis. In: Bock, H.-H., Lenski, W., Richter, M.M. (eds.) Information systems and data analysis, pp. 193-205. Springer, Heidelberg (1994)
    • (1994) Information systems and data analysis , pp. 193-205
    • Vogt, F.1    Wille, R.2
  • 39
    • 84957549121 scopus 로고    scopus 로고
    • Vogt, F., Wille, R.: TOSCANA - A graphical tool for analyzing and exploring data. In: Tamassia, R., Tollis, I(Y.) G. (eds.) GD 1994. LNCS, 894, pp. 226-233. Springer, Heidelberg (1995)
    • Vogt, F., Wille, R.: TOSCANA - A graphical tool for analyzing and exploring data. In: Tamassia, R., Tollis, I(Y.) G. (eds.) GD 1994. LNCS, vol. 894, pp. 226-233. Springer, Heidelberg (1995)
  • 40
    • 41549128573 scopus 로고
    • Möglichkeit und Bewegung. Eine Notiz zur aristotelischen Physik
    • C F. Weizsäcker:, 3. Aufl. Hanser, München
    • Weizsäcker, C.F.: Möglichkeit und Bewegung. Eine Notiz zur aristotelischen Physik. In: C F. Weizsäcker: Die Einheit der Natur. 3. Aufl. Hanser, München, 428-440 (1972)
    • (1972) Die Einheit der Natur , pp. 428-440
    • Weizsäcker, C.F.1
  • 41
    • 0000398336 scopus 로고
    • Restructuring lattice theory: An approach based on hierarchies of concepts
    • Rival, I, ed, Reidel, Dordrecht-Boston
    • Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered Sets, pp. 445-470. Reidel, Dordrecht-Boston (1982)
    • (1982) Ordered Sets , pp. 445-470
    • Wille, R.1
  • 42
    • 41549157877 scopus 로고    scopus 로고
    • Wille, R.: Liniendiagramme hierarchischer Begriffssysteme. In: Bock, H.H.(ed.) (Hrsg.): Anwendungen der Klassifikation: Datenanalyse und numerische Klassifikation, pp. 32-51 Indeks-Verlag, Frankfurt (1984); Übersetzung ins Englische: Line diagrams of hierachical concept systems. International Classification 11, 77-86 (1984)
    • Wille, R.: Liniendiagramme hierarchischer Begriffssysteme. In: Bock, H.H.(ed.) (Hrsg.): Anwendungen der Klassifikation: Datenanalyse und numerische Klassifikation, pp. 32-51 Indeks-Verlag, Frankfurt (1984); Übersetzung ins Englische: Line diagrams of hierachical concept systems. International Classification 11, 77-86 (1984)
  • 43
    • 0009922709 scopus 로고
    • Lattices in data analysis: How to draw them with a computer
    • Rival, I, ed, Kluwer, Dordrecht
    • Wille, R.: Lattices in data analysis: How to draw them with a computer. In: Rival, I. (ed.) Algorithms and order, pp. 33-58. Kluwer, Dordrecht (1989)
    • (1989) Algorithms and order , pp. 33-58
    • Wille, R.1
  • 44
    • 44049122654 scopus 로고
    • Concept lattices and conceptual knowledge systems
    • Wille, R.: Concept lattices and conceptual knowledge systems. Computers & Mathematics with Applications 23, 493-515 (1992)
    • (1992) Computers & Mathematics with Applications , vol.23 , pp. 493-515
    • Wille, R.1
  • 45
    • 33745570473 scopus 로고    scopus 로고
    • Dyadic mathematics - abstractions of logical thought
    • Denecke, K, Erné, M, Wismath, S.L, eds, Kluwer, Dordrecht
    • Wille, R.: Dyadic mathematics - abstractions of logical thought. In: Denecke, K., Erné, M., Wismath, S.L. (eds.) Galois Connections and Applications, pp. 453-498. Kluwer, Dordrecht (2004)
    • (2004) Galois Connections and Applications , pp. 453-498
    • Wille, R.1
  • 46
    • 38049054581 scopus 로고    scopus 로고
    • Formal Concept Analysis as mathematical theory of concepts and concept hierarchies
    • Wille, R.: Formal Concept Analysis as mathematical theory of concepts and concept hierarchies. In: [GSW 2005], pp. 1-33 (2005)
    • (2005) GSW , pp. 1-33
    • Wille, R.1
  • 47
    • 33745534222 scopus 로고    scopus 로고
    • Methods of Conceptual Knowledge Processing
    • Missaoui, R, Schmidt, J, eds, Formal Concept Analysis, Springer, Heidelberg
    • Wille, R.: Methods of Conceptual Knowledge Processing. In: Missaoui, R., Schmidt, J. (eds.) Formal Concept Analysis. LNCS (LNAI), vol. 3874, pp. 1-29. Springer, Heidelberg (2006)
    • (2006) LNCS (LNAI , vol.3874 , pp. 1-29
    • Wille, R.1
  • 48
    • 38049092874 scopus 로고    scopus 로고
    • Wille, R.: The basic theorem on labelled line diagrams of finite concept lattices. In: [KS 2007], pp. 303-312 (2007)
    • Wille, R.: The basic theorem on labelled line diagrams of finite concept lattices. In: [KS 2007], pp. 303-312 (2007)
  • 49
    • 56049118181 scopus 로고    scopus 로고
    • Formal Concept Analysis of one-dimensional continuum structures
    • to appear
    • Wille, R.: Formal Concept Analysis of one-dimensional continuum structures. Algebra Universalis (to appear)
    • Algebra Universalis
    • Wille, R.1
  • 50
    • 38249004445 scopus 로고
    • On the controversy over Huntington's equations. When are such equations meaningful?
    • Wille, R., Wille, U.: On the controversy over Huntington's equations. When are such equations meaningful? Mathematical Social Sciences 25, 173-180 (1993)
    • (1993) Mathematical Social Sciences , vol.25 , pp. 173-180
    • Wille, R.1    Wille, U.2
  • 51
    • 0010916618 scopus 로고
    • Uniqueness of coordinatizations of ordinal structures
    • Wille, R., Wille, U.: Uniqueness of coordinatizations of ordinal structures. Contributions to General Algebra 9, 321-324 (1995)
    • (1995) Contributions to General Algebra , vol.9 , pp. 321-324
    • Wille, R.1    Wille, U.2
  • 52
    • 21444448048 scopus 로고    scopus 로고
    • Coordinatization of ordinal structures
    • Wille, R., Wille, U.: Coordinatization of ordinal structures. Order 13, 281-284 (1996)
    • (1996) Order , vol.13 , pp. 281-284
    • Wille, R.1    Wille, U.2
  • 53
    • 33745517539 scopus 로고    scopus 로고
    • Restructuring general geometry: Measurement and visualization of spatial structures
    • Johannes Heyn Verlag, Klagenfurt
    • Wille, R., Wille, U.: Restructuring general geometry: measurement and visualization of spatial structures. In: Contributions to General Algebra 14, pp. 189-203. Johannes Heyn Verlag, Klagenfurt (2003)
    • (2003) Contributions to General Algebra , vol.14 , pp. 189-203
    • Wille, R.1    Wille, U.2
  • 57
    • 0030535217 scopus 로고    scopus 로고
    • Representation of ordinal contexts by ordered n-quasigroups
    • Wille, U.: Representation of ordinal contexts by ordered n-quasigroups. European Journal of Combinatorics 17, 317-333
    • European Journal of Combinatorics , vol.17 , pp. 317-333
    • Wille, U.1
  • 58
    • 0031092749 scopus 로고    scopus 로고
    • The role of synthetic geometry in representational measurement theory
    • Wille, U.: The role of synthetic geometry in representational measurement theory. Journal of Mathematical Psychology 41, 71-78 (1997)
    • (1997) Journal of Mathematical Psychology , vol.41 , pp. 71-78
    • Wille, U.1
  • 59
    • 41549157430 scopus 로고    scopus 로고
    • Characterization of ordered bilinear contexts
    • Wille, U.: Characterization of ordered bilinear contexts. Journal of Geometry 64, 167-207 (1999)
    • (1999) Journal of Geometry , vol.64 , pp. 167-207
    • Wille, U.1
  • 60
    • 0347117632 scopus 로고    scopus 로고
    • Linear measurement models - axiomatizations and axiomatizability
    • Wille, U.: Linear measurement models - axiomatizations and axiomatizability. Journal of Mathematical Psychology 44, 617-650 (2000)
    • (2000) Journal of Mathematical Psychology , vol.44 , pp. 617-650
    • Wille, U.1


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