The commutator of fuzzy congruences in universal algebras

Addis G. M., KAUSAR N., Munir M., Chu Y.

International Journal of Computational Intelligence Systems, cilt.14, sa.1, ss.1322-1336, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2991/ijcis.d.210329.002
  • Dergi Adı: International Journal of Computational Intelligence Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1322-1336
  • Anahtar Kelimeler: Fuzzy congruences, Shifting lemma-fuzzy version, The commutator, Universal algebras
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We develop the commutator theory for fuzzy congruence relations of general universal algebras. In particular, for algebras in modular varieties, we characterize the commutator of fuzzy congruences using the Day’s terms.