Abstract
This work studies the L-fuzzy context sequences when L is a complete lattice extending the results obtained in previous works with L = [0,1]. To do this, we will use n-ary OWA operators on complete lattices. With the aid of these operators, we will study the different contexts values of the sequence using some new relations. As a particular case, we have the study when \(L=\mathcal{J}([0,1])\). Finally, we illustrate all the results by means of an example.
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Alcalde, C., Burusco, A., Fuentes-González, R.: A constructive method for the definition of interval-valued fuzzy implication operators. Fuzzy Sets and Systems 153, 211–227 (2005)
Alcalde, C., Burusco, A., Fuentes-González, R., Zubia, I.: Treatment of L-fuzzy contexts with absent values. Information Sciences 179(1-2), 1–15 (2009)
Alcalde, C., Burusco, A., Fuentes-González, R., Zubia, I.: The use of linguistic variables and fuzzy propositions in the L-Fuzzy Concept Theory. Computers and Mathematics with Applications 62, 3111–3122 (2011)
Alcalde, C., Burusco, A., Fuentes-González, R.: The study of fuzzy context sequences. International Journal of Computational Intelligence Systems 6(3), 518–529 (2013)
Alcalde, C., Burusco, A., Fuentes-González, R.: Application of OWA Operators in the L-Fuzzy Concept Analysis. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds.) Aggregation Functions in Theory and in Practise. AISC, vol. 228, pp. 133–146. Springer, Heidelberg (2013)
Bělohlávek, R.: Fuzzy Galois Connections. Math. Logic Quarterly 45(4), 497–504 (1999)
Belohlavek, R.: What is a fuzzy concept lattice? II. In: Kuznetsov, S.O., Ślęzak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS, vol. 6743, pp. 19–26. Springer, Heidelberg (2011)
Burusco, A., Fuentes-González, R.: The Study of the L-fuzzy Concept Lattice. Mathware and Soft Computing 1(3), 209–218 (1994)
Burusco, A., Fuentes-González, R.: Construction of the L-fuzzy Concept Lattice. Fuzzy Sets and Systems 97(1), 109–114 (1998)
Burusco, A., Fuentes-González, R.: Concept lattices defined from implication operators. Fuzzy Sets and Systems 114(1), 431–436 (2000)
Burusco, A., Fuentes-González, R.: The study of the interval-valued contexts. Fuzzy Sets and Systems 121, 69–82 (2001)
Burusco, A., Fuentes-González, R.: Contexts with multiple weighted values. The International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 9(3), 355–368 (2001)
Calvo, T., Mesiar, R.: Weighted triangular norms-based aggregation operators. Fuzzy Sets and Systems 137, 3–10 (2003)
Calvo, T., Mesiar, R.: Aggregation operators: ordering and bounds. Fuzzy Sets and Systems 139, 685–697 (2003)
Djouadi, Y., Prade, H.: Interval-Valued Fuzzy Galois Connections: Algebraic Requirements and Concept Lattice Construction. Fundamenta Informaticae 99(2), 169–186 (2010)
Djouadi, Y., Prade, H.: Possibility- theoretic extension of derivation operators in formal concept analysis over fuzzy lattices. FODM 10(4), 287–309 (2011)
Fodor, J., Marichal, J.L., Roubens, M.: Characterization of the Ordered Weighted Averaging Operators. IEEE Transactions on Fuzzy Systems 3(2), 236–240 (1995)
Lizasoain, I., Moreno, C.: OWA operators defined on complete lattices. Fuzzy Sets and Systems 224, 36–52 (2013)
Medina, J., Ojeda-Aciego, M.: Multi-adjoint t-concept lattices. Information Sciences 180(5), 712–725 (2010)
Medina, J.: Multi-adjoint property-oriented concept lattices. Information Sciences 190, 95–106 (2012)
Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cibernetics 18, 183–190 (1988)
Yager, R.R.: Families of OWA operators. Fuzzy Sets and Systems 59, 125–148 (1993)
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)
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Alcalde, C., Burusco, A. (2014). L-Fuzzy Context Sequences on Complete Lattices. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 444. Springer, Cham. https://doi.org/10.1007/978-3-319-08852-5_4
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DOI: https://doi.org/10.1007/978-3-319-08852-5_4
Publisher Name: Springer, Cham
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