Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9650993 | Information Sciences | 2005 | 20 Pages |
Abstract
In this paper we consider the set of all e-implications and pseudo-e-implications. We define operators to endow these sets as monoid structures which are also complete lattices. The set of all pseudo-e-implications becomes a De Morgan algebra. We introduce a class of e-implications such that it becomes a De Morgan algebra. Moreover contrapositive and self-dual pseudo-e-implication and contrapositive e-implication are also studied. Finally we introduce a class of pseudo-e-implications such that it becomes a complete sublattice of the set of all pseudo-e-implications, which is also a De Morgan algebra.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Gh. Khaledi, Mashalah Mashinchi, S.A. Ziaie,