Lattices of convex equivalences
Modular and metric multilattices
Multipliers on a nearlattice
Non-modular and non-distributive primitive ordered subsets of lattices
On completeness and direction in fuzzy relational systems.
The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partially ordered sets (X,≤), are extended in order to become appliable, with coherence, in fuzzy relational systems (X,R). The properties of these generalized structures are analyzed and operative exemples of them are presented.
On extended cyclic orders
On Multiset Ordering
Formalization of a part of [11]. Unfortunately, not all is possible to be formalized. Namely, in the paper there is a mistake in the proof of Lemma 3. It states that there exists x ∈ M1 such that M1(x) > N1(x) and (∀y ∈ N1)x ⊀ y. It should be M1(x) ⩾ N1(x). Nevertheless we do not know whether x ∈ N1 or not and cannot prove the contradiction. In the article we referred to [8], [9] and [10].
On order and betweenness compatibility.
On system of subobject functors in the category of ordered sets
Open problems posed at the eighth international conference on fuzzy set theory and applications
Several open problems posed during FSTA 2006 (Liptovský Ján, Slovakia) are presented. These problems concern the classification of strict triangular norms, Lipschitz t-norms, interval semigroups, copulas, semicopulas and quasi- copulas, fuzzy implications, means, fuzzy relations, MV-algebras and effect algebras.
Periodic extensive measurement
Préordres et équivalences dans l'ensemble des familles d'un ensemble
Propos sur la théorie du mesurage
Pseudocomplemented ordered sets
The aim of this paper is to transfer the concept of pseudocomplement from lattices to ordered sets and to prove some basic results holding for pseudocomplemented ordered sets.
Quasiorders, principal topologies, and partially ordered partitions.
Random variables on Boolean and Heyting algebras and their numerical characteristics [Book]
Rational choice function derived from a fuzzy prference.
Relative polars in ordered sets
In the paper, the notion of relative polarity in ordered sets is introduced and the lattices of -polars are studied. Connections between -polars and prime ideals, especially in distributive sets, are found.
Remarks on representation of fuzzy quantum posets
Two constructions of compatible relations