Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 1/2017

20.08.2016 | Original Article

Multi-level interval-valued fuzzy concept lattices and their attribute reduction

verfasst von: Lifeng Li

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 1/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The paper introduces the multi-level interval-valued fuzzy concept lattices in an interval-valued fuzzy formal context. It introduces the notion of multi-level attribute reductions in an interval-valued fuzzy formal context and investigates related properties. In addition, the paper formulates a corresponding attribute reduction method by constructing a discernibility matrix and its associated Boolean function. The paper also proposes the multi-level granule representation in interval-valued fuzzy formal contexts.
Vorheriger Artikel Three-way decisions model based on tolerance rough fuzzy set
Nächster Artikel Method for generating decision implication canonical basis based on true premises

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Weitere Produktempfehlungen anzeigen
Literatur
1.
Alcalde C, Burusco A, Fuentes-Gonzalez R (2005) A constructive method for the definition of interval-valued fuzzy implication operators. Fuzzy Sets Syst 153:211–227MathSciNetCrossRefMATH
2.
3.
4.
Burusco A, Fuentes-Gonzalez R (1994) The study of L-fuzzy concept lattice. Mathware Soft Comput 3:209–218MathSciNetMATH
5.
Cornelis C, Deschrijver G (2001) The compositional rule of inference in an intuitionistic fuzzy logic setting. In: Striegnitz K (ed) Proc. sixth ESSLLI students session
6.
Deschrijver G, Cornelis C, Kerre EE (2004) On the representation of intuitionistic fuzzy t-Norms and t-conorms. IEEE Trans Fuzzy Syst 12:45–61CrossRefMATH
7.
8.
Djouadi Y, Prade H (2009) Interval-valued fuzzy formal concept analysis. In: Rauch J et al (eds) ISMIS 2009, LNAI 5722, pp 592–601
9.
Elloumi S, Jaam J, Hasnah A, Jaoua A, Nafkha I (2004) A multi-level conceptual data reduction approach based on the Łukasiewicz implication. Inf Sci 163:253–262CrossRefMATH
10.
11.
Feng F, Li Y, Violeta LF (2010) Application of level soft sets in decision making based on interval-valued fuzzy soft sets. Comput Math Appl 60:1756–1767MathSciNetCrossRefMATH
12.
Fodor J, Roubens M (1994) Fuzzy preference modelling and multicriteria decision support, Theory and Decision Library. Kluwer, DordrechtCrossRefMATH
13.
Ganter B, Wille R (1999) Formal Concept analysis: mathematical foundations. Springer, BerlinCrossRefMATH
14.
Georgescu G, Popescu A (2003) Non-commutative fuzzy Galois connections. Soft Comput 7:458–467MATH
15.
16.
17.
Jaoua A, Elloumi S (2002) Galois connection, formal concepts and Galois lattice in real relations: application in a real classifier. J Syst Softw 60:149–163CrossRef
18.
19.
20.
Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice Hall, New JerseyMATH
21.
22.
Li LF, Zhang JK (2010) Attribute reduction in fuzzy concept lattices based on the T implication. Knowl Based Syst 23:497–503CrossRef
23.
Li JH, Mei CL, Lv YJ (2011) Knowledge reduction in decision formal contexts. Knowl Based Syst 24:709–715CrossRefMATH
24.
25.
Li JH, Mei CL, Lv YJ (2013) Incomplete decision contexts: approximate concept construction, rule acquisition and knowledge reduction. Int J Approx Reason 54:149–165MathSciNetCrossRefMATH
26.
Li JH, Mei CL, Xu WH, Qian YH (2015) Concept learning via granular computing: a cognitive viewpoint. Inf Sci 298:447–467MathSciNetCrossRef
27.
Li JH, Ren Y, Mei CL, Qian YH, Yang XB (2016) A comparative study of multigranulation rough sets and concept lattices via rule acquisition. Knowl Based Syst 91:152–164CrossRef
28.
29.
Medina J, Ojeda-Aciego M, Ruiz-Calvigo J (2009) Formal concept analysis via multi-adjoint concept lattices. Fuzzy Sets Syst 160:130–144MathSciNetCrossRefMATH
30.
31.
Ma JM, Zhang WX, Cai S (2006) Variable threshold concept lattice and dependence space. Lect Notes Comput Sci 4223:109–118CrossRef
32.
33.
Singh PK, Kumar CA, Li JH (2016) Knowledge representation using interval-valued fuzzy formal concept lattice. Soft Comput 20:1485–1502CrossRef
34.
Singh PK, Gani A (2015) Fuzzy concept lattice reduction using Shannon entropy and Huffman coding. J Appl Non-Classical Logics 25:101–119MathSciNetCrossRef
35.
Qi JJ, Wei L, Yao YY (2014) Three-way formal concept analysis. Lect Notes Comput Sci 8818:732–741CrossRefMATH
36.
Qi JJ, Qian T, Wei L (2016) The connections between three-way and classical concept lattices. Knowl Based Syst 91:143–151CrossRef
37.
38.
Shao MW, Yang HZ, Wu WZ (2015) Knowledge reduction in formal fuzzy contexts. Knowl Based Syst 73:265–275CrossRef
39.
Shao MW, Leung Y (2014) Relations between granular reduct and dominance reduct in formal contexts. Knowl Based Syst 65:1–11CrossRef
40.
Skowron A (1993) Boolean reasoning for implication rules generation. In: Methodologies for intelligent systems. Springer, Berlin, pp 295–305
41.
Wei L, Qi JJ, Zhang WX (2008) Attribute reduction theory of concept lattice based on decision formal contexts. Sci China Ser F 51:910–923MathSciNetCrossRefMATH
42.
Wang XZ, Dong CR (2009) Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17:556–567CrossRef
43.
Wang XZ, Dong LC, Yan JH (2012) Maximum ambiguity based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24:1491–1505CrossRef
44.
Wang XZ, Xing HJ, Li Y et al (2014) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23:1638–1654CrossRef
45.
Wang XZ, Ashfaq RAR, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29:1185–1196MathSciNetCrossRef
46.
Wang X, Zhang WX (2008) Relations of attribute reduction between object and property oriented concept lattices. Knowl Based Syst 21:398–403CrossRef
47.
Wu WZ, Leung Y, Mi JS (2009) Granular computing and knowledge reduction in formal contexts. IEEE Trans Knowl Data Eng 21:1461–1474CrossRef
48.
Yao YY (2012) An outline of a theory of three-way decisions. Lect Notes Comput Sci 7413:1–17CrossRef
49.
Yao YY (2013) Granular computing and sequential three-way decisions. Lect Notes Comput Sci 8171:16–27CrossRef
50.
51.
Zhai Y, Li D, Qu D (2012) Probability fuzzy attribute implications for interval-valued fuzzy set. Int J Database Theory Appl 5:95–108
52.
Zhang WX, Wei L, Qi JJ (2005) Attribute reduction in concept lattice based on discernibility matrix. Lect Notes Comput Sci 3642:157–165CrossRefMATH
53.
54.
Metadaten
Titel
Multi-level interval-valued fuzzy concept lattices and their attribute reduction
verfasst von
Lifeng Li
Publikationsdatum
20.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 1/2017
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0577-0

Weitere Artikel der Ausgabe 1/2017

International Journal of Machine Learning and Cybernetics 1/2017 Zur Ausgabe

Original Article

A robust periodicity mining method from incomplete and noisy observations based on relative entropy

Original Article

Concept acquisition approach of object-oriented concept lattices

Original Article

Name identification and extraction with formal concept analysis

Original Article

Ideals and fuzzy ideals on residuated lattices

Original Article

Attributes reduction and rules acquisition in an lattice-valued information system with fuzzy decision

Original Article

Attribute reduction in inconsistent formal decision contexts based on congruence relations

Neuer Inhalt

    Bildnachweise