On idempotent binary relations on a finite set
On order and betweenness compatibility.
On regularity classes of binary relations
On relations
On representation of ternary structures
On Reproductive Solutions Of Arbitrary Equations
On reproductive solutions of arbitrary equations.
On sentences provable in impredicative extensions of theories [Book]
On some hypotheses concerning trees.
On some properties of squares of Sierpiński sets
We investigate some geometrical properties of squares of special Sierpiński sets. In particular, we prove that (under CH) there exists a Sierpiński set S and a function p: S → S such that the images of the graph of this function under π'(⟨x,y⟩) = x - y and π''(⟨x,y⟩) = x + y are both Lusin sets.
On special partitions of Dedekind- and Russell-sets
A Russell set is a set which can be written as the union of a countable pairwise disjoint set of pairs no infinite subset of which has a choice function and a Russell cardinal is the cardinal number of a Russell set. We show that if a Russell cardinal has a ternary partition (see Section 1, Definition 2) then the Russell cardinal fails to have such a partition. In fact, we prove that if a ZF-model contains a Russell set, then it contains Russell sets with ternary partitions as well as Russell...
On strong regularity of relations
There exists a natural extension of the notion of preorder from binary relations onto relations whose arities are arbitrary ordinals. In the article we find a condition under which extended preorders coincide with preorders if viewed categorically.
On Supernormal Ehresmann-Dedecker Universes.
On Symmetric and Antisymmetric Relations.
On the additivity of the cardinalities of fuzzy sets of type II.
In this short note we show that for fuzzy sets of type II the additive rule for cardinalities holds true. The proof of this result requires an application of approximate reasoning as means of inference by use of the entailment principle.
On the algebraic structure of the process of forming subsequences
On the existence of maps having graphs connected and dense
On the fundamentals of fuzzy sets.
A considerable amount of research has been done on the notions of pseudo complement, intersection and union of fuzzy sets [1], [4], [11]. Most of this work consists of generalizations or alternatives of the basic concepts introduced by L. A. Zadeh in his famous paper [13]: generalization of the unit interval to arbitrary complete and completely distributive lattices or to Boolean algebras [2]; alternatives to union and intersection using the concept of t-norms [3], [10]; alternative complements...
On the implementation of set-valued non-Boolean functions.
On the semigroup of binary relations on a finite set