SUATU KAJIAN TENTANG PENYARINGAN TERURUT DARI SEMIGRUP IMPL IKATIF
DOI:
https://doi.org/10.25077/jmu.3.1.1-8.2014Abstract
Suatu semigrup implikatif S merupakan suatu himpunan terurut parsial yangbersifat semigrup, semigrup terurut parsial secara negatif (NPO semigrup) dan NPO
semigrup komutatif. Definisikan himpunan Sn(x, y) = {z ∈ S|x n ∗ (y ∗ z) = 1} untuk setiap x, y ∈ S dan n ∈ N. Suatu penyaringan terurut merupakan suatu himpunan bagian
tak kosong dari S yang memenuhi sifat-sifat tertentu. Pada tesis ini dikaji penyaringan
terurut dari semigrup implikatif, dan hubungannya dengan Sn(x, y) serta diberikan contoh dari semigrup implikatif yang selanjutnya ditentukan penyaringan terurutnya.
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