Generalized Almost Distributive Fuzzy Lattices

Authors

  • Berhanu Assaye Alaba Department of Mathematics, College of Science, Bahir Dar University
  • Yohannes Gedamu Wondifraw Department of Mathematics, College of Science, Bahir Dar University

Keywords:

Almost distributive fuzzy lattice, distributive fuzzy lattice, fuzzy poset, generalized almost distributive fuzzy lattice, generalized almost distributive latticeJ

Abstract

In this paper we introduce the concept of a Generalized almost distributive fuzzy lattices (GADFLs) as a generalization of an Almost distributive fuzzy lattices(ADFLs). Again, we also show that a necessary and sufficient conditions for a GADFLs to become a distributive fuzzy lattices and a GADFLs to become an ADFLs

References

G. Rao, R. Bandaru, and N. Rafi, “Generalized almost distributive lattices-I,” Southeast Asian Bulletin of Mathematics, vol. 33, no. 6, 2009.

U. Swamy and G. Rao, “Almost distributive lattices,” Journal of the Australian Mathematical Society (Series A), vol. 31, no. 1, pp. 77–91, 1981.

L. Zadeh, “Fuzzy sets,” Information and control, vol. 8, no. 3, pp. 338–353, 1965.

L. Zadeh, “Similarity relations and fuzzy orderings,” Information sciences, vol. 3, no. 2, pp. 177–200, 1971.

N. Ajmal and K. Thomas, “Fuzzy lattices,” Information sciences, vol. 79, no. 3-4, pp. 271–291, 1994.

I. Chon, “Fuzzy partial order relations and fuzzy lattices,” Korean J. Math, vol. 17, no. 4, pp. 361–374, 2009.

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Published

2017-08-15

How to Cite

Alaba, B. A., & Wondifraw, Y. G. (2017). Generalized Almost Distributive Fuzzy Lattices. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 3(2), 46–49. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4559

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