diallel crosses of eight genotypes of safflower were conducted and f1 and f2 generations were evaluated to estimate genetic parameters for seed-quality related traits including protein contents (%), fiber, ash and oil yeild. griffing’s methods 1 and 2 for f1 and f2 generations was used, respectively. sixty four genotypes including 8 parents and 56 f1 progenies, and half diallel crosses of f2 ge...

Acknowledgments 26 tency of data features along the hypothesized boundary, but also its \inconsistency" with its larger neighborhood. In terms of perceptual grouping, a \good" hypothesis should form a \good" group. Therefore, any score method may beneet substantially from using perceptual grouping information. The non-additive score proposed here shows a signiicant improvement relative to the u...

combining ability and heterosis were studied in a 6×6 partial diallel cross during 2007-2009 to see the nature of gene action in cucumber (cucumis sativus l.). analysis of variance revealed high significant differences among all the f1 hybrid means and among their respective six parental values for all the traits examined. the mean squares attributed to general combining ability (gca) and speci...

General non-additive measures are investigated with the help of some related monotone measures (some types of variations and submeasures), which have some important additional properties.

Measures A (set) function μ : K → [0,∞], with ∅ ∈ K ⊂ 2 and μ(∅) = 0 is called additive or finitely additive if A,B ∈ K, with A ∪ B ∈ K and A ∩ B = ∅ imply μ(A ∪ B) = μ(A) + μ(B). Similarly, μ is called σ-additive or countably additive if Ai ∈ K, with ⋃∞ i=1 Ai = A ∈ K and Ai ∩ Aj = ∅ for i 6= j imply μ(A) = ∑∞ i=1 μ(Ai). It is clear that if μ is σ-additive then μ is also additive, but the conv...

There is presented a short overview on some results related the theory of non-additive measures and the corresponding integrals occurring in several important applications.

‎hensel [k‎. ‎hensel‎, ‎deutsch‎. ‎math‎. ‎verein‎, ‎{6} (1897), ‎83-88.] discovered the $p$-adic number as a‎ ‎number theoretical analogue of power series in complex analysis‎. ‎fix ‎a prime number $p$‎. ‎for any nonzero rational number $x$‎, ‎there‎ ‎exists a unique integer $n_x inmathbb{z}$ such that $x = ‎frac{a}{b}p^{n_x}$‎, ‎where $a$ and $b$ are integers not divisible by ‎$p$‎. ‎then $|x...

‎Hensel [K‎. ‎Hensel‎, ‎Deutsch‎. ‎Math‎. ‎Verein‎, ‎{6} (1897), ‎83-88.] discovered the $p$-adic number as a‎ ‎number theoretical analogue of power series in complex analysis‎. ‎Fix ‎a prime number $p$‎. ‎for any nonzero rational number $x$‎, ‎there‎ ‎exists a unique integer $n_x inmathbb{Z}$ such that $x = ‎frac{a}{b}p^{n_x}$‎, ‎where $a$ and $b$ are integers not divisible by ‎$p$‎. ‎Then $|x...

This paper starts from the position that belief is primarily quantitative and not categorical, i.e. we generally assume the existence of various degrees of belief. This corresponds to the observation that most human beings experience belief as a matter of degree. We follow the usual convention that such degrees of belief are values in the [0, 1]-interval, including the two extreme cases 0 for “...

in order to determine combining ability, heritability and heterosis of some agronomic traits in rice, 4 pure lines were crossed with 2 cytoplasmic male sterile testers. parents and their f1 progenies arranged in rcb design with three replications. analysis of variance showed significant differences among genotypes for all traits, except for filled grains/panicle. furthermore, the crosses effect...