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In this paper, we introduce the notion of fuzzy C-matroids, a new class of fuzzy matroids. We study properties of this class and define several new types of fuzzy maps between fuzzy matroids. In addition, we define fuzzy C-inner and fuzzy C-closure operators in this class and characterize fuzzy C-matroids and fuzzy maps between matroids in terms of these notions.
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Tom
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5--15
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Bibliogr. 11 poz.
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Bibliografia
- [1] Al-Hawary T., Fuzzy flats, to appear in Indian J. Math.
- [2] Goetschel R., Voxman W., Fuzzy matroids, Fuzzy sets and systems, 27(1988), 291-302.
- [3] Goetschel R., Voxman W., Fuzzy matroid sums and a greedy algorithm, Fuzzy sets and systems, 52(1992), 189-200.
- [4] Goetschel R., Voxman W., Fuzzy rank functions, Fuzzy sets and systems, 42(1991), 245-258.
- [5] Goetschel R., Voxman W., Spanning properties for fuzzy matroids, Fuzzy sets and systems, 51(1992), 313-321.
- [6] Hsueh Y., On fuzzification of matroids, Fuzzy sets and systems, 53(1993), 319-327.
- [7] Novak L., A comment on ”Bases of fuzzy matroids”, Fuzzy sets and systems, 87(1997), 251-252.
- [8] Novak L., On fuzzy independence set systems, Fuzzy sets and systems, 91(1997), 365-375.
- [9] Novak L., On Goetschel and Voxman fuzzy matroids, Fuzzy sets and systems, 117(2001), 407-412.
- [10] Oxley J., Matroid Theory, Oxford University Press, New York, 1976.
- [11] Li S., Xin X., Li Y., Closure axioms for a class of fuzzy matroids and co-towers of matroids, Fuzzy sets and systems. (in press)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-382754b9-c25a-4ebf-a012-f6c6b99c6673