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Toplam kayıt 25, listelenen: 1-10
On the property of T-distributivity
(Springer International Publishing Ag, 2013)
In this paper, we introduce the notion of T-distributivity for any t-norm on a bounded lattice. We determine a relation between the t-norms T and T', where T' is a T-distributive t-norm. Also, for an arbitrary t-norm T, ...
Ordering based on implications
(Elsevier Science Inc, 2014)
Implication function I on a bounded lattice L is defined by means of some boundary conditions and monotonicity constraints. on the other hand, each implication function I on L defines a special relation which, in some ...
Ordering based on implications (vol 276, pg 377, 2014)
(Elsevier Science Inc, 2014)
In this paper, the study of ordering based on implications, given in (Information Sciences, 276 (2014) 377-386) is revised. the implication given in Example 1 is corrected and its right version is shown. (C) 2014 Elsevier ...
Order-equivalent triangular norms
(Elsevier Science Bv, 2015)
In this paper, an equivalence relation on the class of t-norms induced by a T-partial order is provided and discussed. the equivalence classes linked to some special t-norms are characterized as well as some properties ...
Nullnorms on bounded lattices
(Elsevier Science Inc, 2015)
Nullnorms are generalization of triangular norms and triangular conorms with a zero element in the interior of the unit interval. in this paper, we generalize nullnorms to an arbitrary bounded lattices. We show the existence ...
Ordering based on uninorms
(Elsevier Science Inc, 2016)
In this paper, an order induced by uninorms on bounded lattices is given and discussed. By defining such an order, the T-partial order is extended to a more general form. the relationship between the order induced by the ...
The implications obtained by two given implications on bounded lattices
(Taylor & Francis Ltd., 2021)
In this paper, some construction methods for implications on bounded lattices are introduced and the preserved properties such as the neutrality property, the identity principle and the ordering property are investigated. ...
Generating methods for principal topologies on bounded lattices
(Kybernetika, 2021)
In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained ...
An equivalence relation based on the U-partial order
(Elsevier Science Inc, 2017)
In this paper, an equivalence relation on the class of uninorms induced by the U-partial order is discussed. Defining the set of all incomparable elements w.r.t. the U-partial order, this set is deeply investigated and ...
Some notes on the partial orders induced by a uninorm and a nullnorm in a bounded lattice
(Elsevier Science Bv, 2018)
In this paper, an equivalence on the class of nullnorms on a bounded lattice is discussed. Some relationships between the U and V-partial orders are investigated. A necessary and sufficient condition making a bounded lattice ...