COGRADIENTS IN FUZZY BCK-ALGEBRAS

Abstract

In this paper we apply the notion of $\rhd$$\mu$ and $\lhd$$\mu$ to fuzzy BCK-algebra, and show that $\lhd$$\mu$ is cogradient to a partial order of the BCK-algebra.

Keywords

• fuzzy subset;
• BCK-algebra;
• poset;
• cogradient

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References

1. Amer. Math. Monthly v.77 On the similarity of partially ordered sets A. Abian
2. Fuzzy Set and Sys. v.62 A fuzzy subgroupoid which is not a fuzzy group W. X. Gu;D. G. Chen
3. General lattice theory G. Gratzer
4. Math. Japonica v.45 BCK-algebras inherited from the poset J. K. Kim;Y. B. Jun;H. S. Kim
5. Canad. J. Math. v.27 Planar lattices D. Kelly;I. Rival
6. BCK-algebras J. Meng;Y. B. Jun
7. Kyungpook Math. J. v.16 Partially ordered sets and groupoids J. Neggers
8. Semigroup Forum v.53 Modular semigroups and posets J. Neggers;Hee Sik Kim
9. Algebras associated with posets J. Neggers;Hee Sik Kim
10. Fuzzy pogroupoids J. Neggers;Hee Sik Kim
11. Math. Slovaca v.49 On d-algebras J. Neggers;Hee Sik Kim
12. Basic Posets J. Neggers;Hee Sik Kim
13. Fuzzy Sets and Sys. v.46 Fuzzy ordered sets P. Venugopalan
14. Math. Japonica v.36 Fuzzy BCK-algebras O. G. Xi
15. A new approach to fuzzy groupoids v.49 N. L. Youssef;K. A. Dib
16. Inform. and Control v.8 Fuzzy Sets L. Zadeh
17. Inform. Sci. v.3 Similarity relations and fuzzy orderings L. Zadeh