The pseudometric generating property of non-additive set functions also plays an important role as the autocontinuity in fuzzy measure theory 2, 9]. A further research on this property has been presented in 4]. The aim of this paper is to prove the Egoroo's theorem and Lusin's theorem for measurable functions on metric spaces hold for those fuzzy measures with the exhaustivity and pseudometric ...

The purpose of this paper is to prove a Jensen type inequality for Choquet integrals with respect to a non-additive measure which was introduced by Choquet [1] and Sugeno [20]; Φ((C) ∫ fdμ) ≤ (C) ∫ Φ(f)dμ, where f is Choquet integrable, Φ : [0,∞) −→ [0,∞) is convex, Φ(α) ≤ α for all α ∈ [0,∞) and μf (α) ≤ μΦ(f)(α) for all α ∈ [0,∞). Furthermore, we give some examples assuring both satisfaction ...

In this paper we present a xed point algorithm for bit rate optimal time domain equalization in multicarrier systems. The algorithm outperforms standard MMSE equalizers in capacity measure. Moreover, it adaptively estimates the optimal signal delay which was an exhaustive search problem in MMSE equalizers. We brie y discuss the convergence properties and demonstrate the performance of the algor...

We develop a numerical approach for computing the additive, multiplicative and compressive convolution operations from free probability theory. We utilize the regularity properties of free convolution to identify (pairs of) ‘admissible’ measures whose convolution results in a so-called ‘invertible measure’ which is either a smoothly-decaying measure supported on the entire real line (such as th...

five genotypes of chickpea as a half diallel crossed with each other, in 2008, 5 parents and 10 progenies were planted as randomized complete block design and some traits including days to podding, basal pod height, number of pods per plant, number of double seed pods per plant, number of single seed pods per plant, number of empty pods per plant, seeds per plant and seed yield per plant were e...

inheritance of yield and its contributing characters in rapeseed (brassica napus l.) was studied in a 8×8 diallel cross through griffing and jinks-hayman analyses. both general combining ability (gca) and specific combining ability (sca) were highly significant for seed yield, seed weight and branches per plant, while only gca for seeds per pod and oil content and only sca for pods per plant an...