On generalized fuzzy relation equations: necessary and sufficient conditions for the existence of solutions
On generalized fuzzy strongly semiclosed sets in fuzzy topological spaces.
On generating of relations
On granular derivatives and the solution of a granular initial value problem
Perceptions about function changes are represented by rules like “If X is SMALL then Y is QUICKLY INCREASING.” The consequent part of a rule describes a granule of directions of the function change when X is increasing on the fuzzy interval given in the antecedent part of the rule. Each rule defines a granular differential and a rule base defines a granular derivative. A reconstruction of a fuzzy function given by the granular derivative and the initial value given by the rule is similar to Euler’s...
On Helling cardinals
On homogeneous coverings of Euclidean spaces.
On homomorphisms of fuzzy groups.
On homotopical equivalence of tolerance spaces
On ideals with projective bases.
On idempotent binary relations on a finite set
On idempotent filters
On inaccessible cardinal numbers.
On independence of the relations of epimorphy and embeddability on the variety of all lattices.
On infinite partitions of lines and space
Given a partition P:L → ω of the lines in , n ≥ 2, into countably many pieces, we ask if it is possible to find a partition of the points, , so that each line meets at most m points of its color. Assuming Martin’s Axiom, we show this is the case for m ≥ 3. We reduce the problem for m = 2 to a purely finitary geometry problem. Although we have established a very similar, but somewhat simpler, version of the geometry conjecture, we leave the general problem open. We consider also various generalizations...
On injective -modules.
On interpretability in set theories
On interpretability in set theories. II.
On interpretability in theories containing arithmetic
On intersections of sets of positive Lebesgue measure
On invariant CCC -ideals