let $(x, n)$ be a fuzzy normed space and $a$ be a fuzzy boundedsubset of $x$. we define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums offuzzy normed spaces. then we will show that in these spaces, all fuzzyuniquely remotal sets are singletons.
The Proper Forcing Axiom is a powerful extension of the Baire Category Theorem which has proved highly effective in settling mathematical statements which are independent of ZFC. In contrast to the Continuum Hypothesis, it eliminates a large number of the pathological constructions which can be carried out using additional axioms of set theory. Mathematics Subject Classification (2000). Primary...
|The problem of assigning labels to objects given some relational constraints is occuring quite often in the eld of pattern recognition. Among the diierent solutions proposed there is a particularly successful one: Relaxation labeling. Relaxation labeling has turned out to be a useful iterative scheme for parallel information integration forcing neighborhood constraint satisfaction. Consequentl...