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
Pages
15
From page
127
To page
141
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
Serial Year
2019
Record number
2494679
Link To Document