12,512 research outputs found
Some new lacunary -statistical -convergent sequence spaces of order
We study the concept of density for sets of natural numbers in some lacunary
-convergent sequence spaces. Also we are trying to investigate some relation
between the ordinary convergence and module statistical convergence for evey
unbounded modulus function. Morever we also study some results on the newly
defined lacunary -statistically -convergent sequence spaces with respect
to some Musielak-Orlicz function.Comment: Conference paper. arXiv admin note: text overlap with
arXiv:1506.0545
On fuzzy real-valued double A-sequence spaces defined by Orlicz function
The purpose of this paper is to introduce and study a new concept of
strong fuzzy real-valued double A- convergence sequences with respect to an Orlicz function. Also, some
properties of the resulting fuzzy real-valued sequence spaces are
examined. In addition, we define
the double A-statistical convergence and
establish some connections between the spaces of strong double
A-convergence sequence and double -statistical convergence sequence
On some properties of ideal convergent double sequences in fuzzy normed spaces
Recently, Rashid et al. [Rashid, Mohammad HM and Kočinac, Ljubiša DR. Ideal convergence in 2–fuzzy 2–normed spaces, Hacettepe Journal of Mathematics and Statistics, 46(1):149–162, 2017] defined the notion of ideal convergence of single sequences in 2–fuzzy 2–normed linear spaces. The aim of this paper is to generalize this notion to the double sequences in such spaces. For the sake of generalizing we define some concepts that contribute basically to outcomes that we came up with and study some basic properties of these new definitions.Publisher's Versio
Near-Optimal Scheduling for LTL with Future Discounting
We study the search problem for optimal schedulers for the linear temporal
logic (LTL) with future discounting. The logic, introduced by Almagor, Boker
and Kupferman, is a quantitative variant of LTL in which an event in the far
future has only discounted contribution to a truth value (that is a real number
in the unit interval [0, 1]). The precise problem we study---it naturally
arises e.g. in search for a scheduler that recovers from an internal error
state as soon as possible---is the following: given a Kripke frame, a formula
and a number in [0, 1] called a margin, find a path of the Kripke frame that is
optimal with respect to the formula up to the prescribed margin (a truly
optimal path may not exist). We present an algorithm for the problem; it works
even in the extended setting with propositional quality operators, a setting
where (threshold) model-checking is known to be undecidable
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