Title of article :
On orders induced by implications
Author/Authors :
Nesibe Kesicioglu, M Department of Mathematics - Recep Tayyip Erdogan University, Rize, Turkey , Cogalms, F Department of Mathematics - Recep Tayyip Erdogan University, Rize, Turkey
Abstract :
In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessary
and sufficient condition is presented so that the ordinal sum of fuzzy implications satises the law of importation with
a t-norm T. Some relationships between the orders induced by an ordinal sum implication and its summands are
determined. The algebraic structures obtained from the orders induced by the residual implications and the ordinal
sum implications are discussed.
Keywords :
residual implication , partial order , law of importation , ordinal sum , Fuzzy implications
