M-fuzzifying bases
DOI:
https://doi.org/10.4067/S0716-09172009000300007Keywords:
M-fuzzifying bases, M-fuzzifying matroids, Dual matroids.Abstract
In this paper, we continue the study of M-fuzzifying matroids. We define the notion of an M-fuzzifying base and discuss some properties of the dual matroids of basic M-fuzzifying matroids.References
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[15] D. J. A. Welsh, Matroid Theory, Oxford University Press, New York, (1976).
[2] G. Gierz, et al., Continuous Lattices and Domains, Cambridge University Press, Cambridge, (2003).
[3] R. Goetschel, W. Voxman, Bases of fuzzy matroids, Fuzzy Sets and Systems 31, pp. 253-261, (1989).
[4] H.-L. Huang, F.-G. Shi, M-fuzzy numbers and their properties, Information Sciences 178, pp. 1141-1151, (2008).
[5] H.-J. Lai, Matroid Theory, Higher Education Press, Beijing (in Chinese), (2002).
[6] C. V. Negoita, D. A. Ralescu, Applications of Fuzzy Sets to Systems Analysis, Interdisciplinary Systems Research Series, vol. 11, Birkhaeuser, Basel, Stuttgart and Halsted Press, New York, (1975).
[7] J. G. Oxley, Matroid Theory, Oxford University Press, New York, (1992).
[8] F.-G. Shi, Theory of Lβ-nested sets and Lα-nested sets and its applications, Fuzzy Systems and Mathematics 4, pp. 65-72 (in Chinese), (1995).
[9] F.-G. Shi, M-fuzzy sets and prime element nested sets, J. Mathematical Research and Exposition 16, pp. 398-402 (in Chinese), (1996).
[10] F.-G. Shi, Theory of molecular nested sets and its applications, J. Yantai Teachers University (Natural Science) 1, pp. 33-36 (in Chinese), (1996).
[11] F.-G. Shi, M-fuzzy relation and M-fuzzy subgroup, J. Fuzzy Mathematics 8, pp. 491-499, (2000).
[12] F.-G. Shi, A new approach to the fuzzification of matroids, Fuzzy Sets and Systems 160, pp. 696-705, (2009).
[13] F.-G. Shi, (L,M)-fuzzy matroids, Fuzzy Sets and Systems 160, pp. 2387-2400, (2009).
[14] G.-J. Wang, Theory of topological molecular lattices, Fuzzy Sets and Systems 47, pp. 351-376, (1992).
[15] D. J. A. Welsh, Matroid Theory, Oxford University Press, New York, (1976).
How to Cite
[1]
X. Xin and F.-G. Shi, “M-fuzzifying bases”, Proyecciones (Antofagasta, On line), vol. 28, no. 3, pp. 271-283, 1.
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