A new type of affine Borel function.
A non-special -tree with special -subtrees
A nonstandard approach to fuzzy set theory
A nonstandard set theory
A nonstandard treatment with quantities
A note about operations like (the weakest -norm) based addition on fuzzy intervals
We investigate a relation about subadditivity of functions. Based on subadditivity of functions, we consider some conditions for continuous -norms to act as the weakest -norm -based addition. This work extends some results of Marková-Stupňanová [15], Mesiar [18].
A note on -algebras.
A note on a question of Abe
Assuming large cardinals, we show that every κ-complete filter can be generically extended to a V-ultrafilter with well-founded ultrapower. We then apply this to answer a question of Abe.
A note on almost disjoint refinement
A note on automorphisms and partitions
A note on Boolean algebras
We show that splitting of elements of an independent family of infinite regular size will produce a full size independent set.
A note on complex unions of subsets of the real line
A note on connectedness in intuitionistic fuzzy special topological spaces.
A note on countably determined and distinguishable sets
A note on forcing with ideals and Hechler forcing
A note on fuzzy cardinals
A note on ideals of compact sets
Solecki has shown that a broad natural class of ideals of compact sets can be represented through the ideal of nowhere dense subsets of a closed subset of the hyperspace of compact sets. In this note we show that the closed subset in this representation can be taken to be closed upwards.
A note on general relations
A Note on Indestructibility and Strong Compactness
If κ < λ are such that κ is both supercompact and indestructible under κ-directed closed forcing which is also (κ⁺,∞)-distributive and λ is supercompact, then by a result of Apter and Hamkins [J. Symbolic Logic 67 (2002)], δ < κ | δ is δ⁺ strongly compact yet δ is not δ⁺ supercompact must be unbounded in κ. We show that the large cardinal hypothesis on λ is necessary by constructing a model containing a supercompact cardinal κ in which no cardinal δ > κ is supercompact, κ’s supercompactness...
A note on metrics and tolerances