On Wd-Fuzzy Implication Algebras

Deng Fang-an, Tao Chen, Shengzhang Ren · 2017

The main aim of this article is to study Wd -fuzzy implication algebras which are subalgebra of fuzzy implication algebras. We showed that Wd -fuzzy implication algebras are regular fuzzy implication algebras, but the inverse is not true. The relations between Wd -fuzzy implication algebras and other fuzzy algebras are discussed. Properties and axiomatic systems for Wd -fuzzy implication algebras are investigated. Furthermore, a few new results on Wd -fuzzy implication algebras has been added.

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