International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3421 2020 2020 School of Mathematics and Computer Science, Shaanxi University of Technology, 723001 Hanzhong, China admin admin School of Mathematical Sciences, Beihang University, Shahe Campus, 102206 Beijing, China Yichuan Yang School of Mathematics and Computer Science, Shaanxi University of Technology, 723001 Hanzhong, China Zhao Yang In this paper, we continue the studyWd-fuzzy implication algebras which are subalgebras of fuzzy implication algebras. Properties and axiomatic systems for Wd-fuzzy implication algebras are presented, then a few new results on Wd-fuzzy implication algebras have been added. We showed that there are relations between Wdfuzzy implication algebras and some of other fuzzy logical algebras such as FI-algebras, RFI-algebras, CFIalgebras, HFI-algebras. In particular, the relations between Wd-fuzzy implication algebras and L-algebras are investigated, and we prove that every Wd-fuzzy implication algebras is a proper subclass of L-algebras. Finally, we introduce the notions of GWd-FI algebras, whose some properties of it are investigated. The relations between distributive GWd-FI-algebras, Hilbert algebras, BE-algebras and W-eo algebras have been obtained. 2025 2025 58 72 10.54216/IJNS.250406 https://www.americaspg.com/articleinfo/21/show/3421