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Weak fuzzy implication algebras and induced structures

Chajda I., Emanovsky P., Halas R.

Demonstratio Mathematica

2006

Vol. 39, nr 1

1-14

The concept of fuzzy implication algebra is weakened replacing the exchange axiom by an essentially weaker version. To each such algebra a groupoid is assigned. We get conditions under which this groupoid is commutative and show when a fuzzy implication algebra becomes a lattice with antitone involutions on all sections.