Fuzzy Amicable sets of an Almost Distributive Fuzzy Lattice

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
  • Bekalu Tarekegn Bitew Department of Mathematics, College of Science, Bahir Dar University

Keywords:

Almost distributive fuzzy lattice (ADFL), almost distributive lattice (ADL), fuzzy amicable Set, fuzzy compatible set, M-fuzzy amicable element

Abstract

In this paper, we introduce the concept of Fuzzy Amicable sets, we prove some properties of Fuzzy Amicable set, too. We also prove that two Fuzzy compatible elements of an Almost distributive Fuzzy Lattice (ADFL) are equal if and only if their corresponding unique Fuzzy amicable elements are equal. We define the homomorphism of two Almost Distributive Fuzzy lattices (ADFL) and finally we observe that any two Fuzzy amicable set in an Almost Distributive Fuzzy Lattice (ADFL) are isomorphic.

References

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Published

2017-08-15

How to Cite

Alaba, B. A., Wondifraw, Y. G., & Bitew, B. T. (2017). Fuzzy Amicable sets of an Almost Distributive Fuzzy Lattice. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 3(2), 50–54. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4562

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