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Rank Functions for Closed and Perfect [0, 1]-Matroids

Year 2010, Volume: 39 Issue: 1, 31 - 39, 01.01.2010
https://izlik.org/JA76KS92UM

Abstract

References

  • Gale, D. Optimal assignments in an ordered set: an application of matroid theory, J. Com- binatoral Theory 4, 176–180, 1968.
  • Gierz, G. et al. Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications 93, Cambridge University Press, Cambridge, 2003).
  • Huang H. -L. and Shi F.-G. L-fuzzy numbers and their properties, Information Sciences 178, 1141–1151, 2008.
  • Oxley J. G. Matroid theory (Oxford University Press, New York, 1992).
  • Shi F. -G. A new approach to the fuzzification of matroids, Fuzzy Sets and Systems 160, 696–705, 2009.
  • Shi F. -G. (L, M )-fuzzy matroids, Fuzzy Sets and Systems 160, 2387–2400, 2009.

Rank Functions for Closed and Perfect [0, 1]-Matroids

Year 2010, Volume: 39 Issue: 1, 31 - 39, 01.01.2010
https://izlik.org/JA76KS92UM

Abstract

In this paper we present the notions of perfect [0, 1]-matroid and closed [0, 1]-matroid, and investigate some of their basic properties. Moreover, we prove that a closed and perfect [0, 1]-matroid can be characterized by means of its [0, 1]-fuzzy rank function. 

References

  • Gale, D. Optimal assignments in an ordered set: an application of matroid theory, J. Com- binatoral Theory 4, 176–180, 1968.
  • Gierz, G. et al. Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications 93, Cambridge University Press, Cambridge, 2003).
  • Huang H. -L. and Shi F.-G. L-fuzzy numbers and their properties, Information Sciences 178, 1141–1151, 2008.
  • Oxley J. G. Matroid theory (Oxford University Press, New York, 1992).
  • Shi F. -G. A new approach to the fuzzification of matroids, Fuzzy Sets and Systems 160, 696–705, 2009.
  • Shi F. -G. (L, M )-fuzzy matroids, Fuzzy Sets and Systems 160, 2387–2400, 2009.
There are 6 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

Xiu Xin This is me

F.-g. Shi This is me

Publication Date January 1, 2010
IZ https://izlik.org/JA76KS92UM
Published in Issue Year 2010 Volume: 39 Issue: 1

Cite

APA Xin, X., & Shi, F.- g. (2010). Rank Functions for Closed and Perfect [0, 1]-Matroids. Hacettepe Journal of Mathematics and Statistics, 39(1), 31-39. https://izlik.org/JA76KS92UM
AMA 1.Xin X, Shi F g. Rank Functions for Closed and Perfect [0, 1]-Matroids. Hacettepe Journal of Mathematics and Statistics. 2010;39(1):31-39. https://izlik.org/JA76KS92UM
Chicago Xin, Xiu, and F.-g. Shi. 2010. “Rank Functions for Closed and Perfect [0, 1]-Matroids”. Hacettepe Journal of Mathematics and Statistics 39 (1): 31-39. https://izlik.org/JA76KS92UM.
EndNote Xin X, Shi F- g. (January 1, 2010) Rank Functions for Closed and Perfect [0, 1]-Matroids. Hacettepe Journal of Mathematics and Statistics 39 1 31–39.
IEEE [1]X. Xin and F.- g. Shi, “Rank Functions for Closed and Perfect [0, 1]-Matroids”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 1, pp. 31–39, Jan. 2010, [Online]. Available: https://izlik.org/JA76KS92UM
ISNAD Xin, Xiu - Shi, F.-g. “Rank Functions for Closed and Perfect [0, 1]-Matroids”. Hacettepe Journal of Mathematics and Statistics 39/1 (January 1, 2010): 31-39. https://izlik.org/JA76KS92UM.
JAMA 1.Xin X, Shi F- g. Rank Functions for Closed and Perfect [0, 1]-Matroids. Hacettepe Journal of Mathematics and Statistics. 2010;39:31–39.
MLA Xin, Xiu, and F.-g. Shi. “Rank Functions for Closed and Perfect [0, 1]-Matroids”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 1, Jan. 2010, pp. 31-39, https://izlik.org/JA76KS92UM.
Vancouver 1.Xin X, Shi F g. Rank Functions for Closed and Perfect [0, 1]-Matroids. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Jan. 1;39(1):31-9. Available from: https://izlik.org/JA76KS92UM