On a proof of the Erdős-Monk theorem.
On a property of partially ordered sets.
On a question of H. Kraljevic.
On a question of Sierpiński
There is a set U of reals such that for every analytic set A there is a continuous function f which maps U bijectively to A.
On a representation theorem of De Morgan algebras by fuzzy sets.
Once the concept of De Morgan algebra of fuzzy sets on a universe X can be defined, we give a necessary and sufficient condition for a De Morgan algebra to be isomorphic to (represented by) a De Morgan algebra of fuzzy sets.
On a result of K. P. Hart about non-existence of measurable solutions to the discrete expectation maximization problem
It was shown that there is a statistical learning problem – a version of the expectation maximization (EMX) problem – whose consistency in a domain of cardinality continuum under the family of purely atomic probability measures and with finite hypotheses is equivalent to a version of the continuum hypothesis, and thus independent of ZFC. K. P. Hart had subsequently proved that no solution to the EMX problem can be Borel measurable with regard to an uncountable standard Borel structure on , and...
On a sharp estimation in the theory of binary relations on a finite set
On a special class of left-continuous uninorms
This paper is devoted to the study of a class of left-continuous uninorms locally internal in the region and the residual implications derived from them. It is shown that such uninorm can be represented as an ordinal sum of semigroups in the sense of Clifford. Moreover, the explicit expressions for the residual implication derived from this special class of uninorms are given. A set of axioms is presented that characterizes those binary functions for which a uninorm of this special class exists...
On a theorem in the theory of relations and a solution of a problem of Knaster
On a theorem of Baumgartner and Weese
On a theorem of Jones and Heath concerning separable normal spaces
On a weak Kelley-Morse theory of classes
On absolutely divergent series
We show that in the -stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(ω)/fin. This complements Vojtáš’ result that under the two algebras are isomorphic [15].
On absolutely measurable sets
On absolutely operations
On almost equitable uninorms
Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.
On almost invariant subsets of the real line
On almost-free modules over complete discrete valuation rings
On an equivalence of fuzzy subgroups. III.
On an extremal characterization of partitions