This paper presents the induced generalized ordered weighted logarithmic aggregation (IGOWLA) operator, this operator is an extension of (GOWLA) operator. It uses order-induced variables that modify reordering process arguments included in aggregation. The principal advantage introduced mechanism consideration highly complex attitude from decision makers. We study some families IGOWLA as measur...

A Dedekind cut of an ordered abelian group G is a pair (X, Y) of nonempty subsets of G where Y=G−X and every member of X precedes every member of Y. A Dedekind cut (X, Y) is said to be continuous if X has a greatest member or Y has a least member, but not both; if every Dedekind cut of G is a continuous cut, G is said to be (Dedekind) continuous. The ordered abelian group R of real numbers is, ...

Let $$\mathcal {R}$$ be an expansion of the ordered real additive group. When is o-minimal, it known that either defines field isomorphic to $$(\mathbb {R},<,+,\cdot )$$ on some open subinterval $$I\subseteq \mathbb , or a reduct vector space. We say field-type if satisfies former condition. In this paper, we prove more general result for arbitrary expansions {R},<,+)$$ . particular, show do no...

The paper deals with special types of $L$-ordered sets, $L$-fuzzy complete lattices, and fuzzy directed complete posets.First, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $L$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $L$-fuzzy complete lattice $(P;e)$, then the least fixpoint of $f$ is meet of a spe...