In this paper, we introduce new definitions of L-fuzzy neighborhood systems, L-fuzzy interior operators and L-fuzzy closure operators. Three characterizations of the category L-FTOP of L-fuzzy topological spaces and their L-fuzzy continuous mappings are presented by means of the category L-FNS of L-fuzzy neighborhood spaces and their continuous mappings, the category L-FIS of L-fuzzy interior s...

Abstract. The aim of this paper is to represent given sets of concave functions by Radon probability measures. We define sets Kp (for p ∈ [1,∞]) of concave functions from the spaces L((0, 1)) having some additional properties. These sets of functions are convex and compact so that Choquet’s theorem can be used to obtain existence of representing measures. Uniqueness is examined on a case-by-cas...

The current study investigated the robustness of priming from a masked speech priming method introduced by Kouider and Dupoux 2005 . Psychol. Sci. 16, 617–625 . In this procedure, a compressed spoken prime is embedded in auditory masking stimuli and presented immediately prior to an uncompressed auditory target. The degree to which spoken stimuli could be compressed without significant data los...

Two important goals of high-dimensional modeling are prediction and variable selection. In this article, we consider regularization with combined L1 and concave penalties, and study the sampling properties of the global optimum of the suggested method in ultra-high dimensional 10 settings. The L1-penalty provides the minimum regularization needed for removing noise variables in order to achieve...

A system WF of subintuitionistic logic is introduced, weaker than Corsi’s basic subintuitionistic system F. A derivation system with and without hypotheses is given in line with the authors’ derivation system for F. A neighborhood semantics is introduced with a somewhat more complex definition than the neighborhood semantics for non-normal modal logics. Completeness is proved for WF with respec...

We define a class of L-convex-concave subsets of RP , where L is a projective line in RP . These are sets whose sections by any plane containing L are convex and concavely depend on this plane. We prove a version of Arnold’s conjecture for these sets, namely we prove that each such set contains a line.

In [K–S 1] it was shown that Ave π ( n ∑

We define a class of L-convex-concave subsets of RP 3 , where L is a projective line in RP 3. These are sets whose sections by any plane containing L are convex and concavely depend on this plane. We prove a version of Arnold hypothesis for these sets, namely we prove that each such set contains a line.

A positive real sequence (ak) n k=0 is said to be unimodal if there exist integers k0, k1, 0 ≤ k0 ≤ k1 ≤ n such that a0 ≤ a1 ≤ · · · ≤ ak0 = ak0+1 = · · · = ak1 ≥ ak1+1 ≥ · · · ≥ an. The integers l, k0 ≤ l ≤ k1 are called the modes of the sequence. If k0 < k1 then (ak)k=0 is said to have a plateau of k1 − k0 + 1 elements; if k0 = k1 then it is said to have a peak. A real sequence is said to be ...