An approach based on relative optimal membership degree is proposed to deal with multiple attribute decisionmaking (MADM) problems under risk with weight information unknown and attribute value as linguistic variable. Firstly, the operational laws of linguistic variable are introduced, and risk linguistic decision matrix is transformed into certain linguistic decision matrix by expectation valu...

Intravenous hyperalimentation was done in 11 underweight adults whose body weight (body wt) was less than 85 percent of ideal. For the first 6 days, "complete formula" was infused furnishing per kilogram ideal body wt per day: 15 g glucose, 0.40 g N, 0.018 g P, 2.4 meq K, 3.0 meq Na, 2.3 meq C1, 0.5 meq Mg, 0.45 meq Ca, and 50 ml H20. Patients gained weight at an average rate of 9.0 g/kg ideal ...

then the ideal (F1, ..., FN) they generate in the Paley-Wiener algebra Ê ′(Rn) is slowly decreasing respect to the Paley-Wiener weight p(z) = log |z| + |Im z|. As a consequence, this ideal is closed in Ê ′(Rn). It coincides with the ideal [I(F1, ..., FN)]loc, which consists of elements in Ê ′(Rn) that belong locally to the ideal generated by F1, ..., FN in the algebra of entire functions in n v...

let $l$ be a completely regular frame and $mathcal{r}l$ be the ‎ring of continuous real-valued functions on $l$‎. ‎we show that the‎ ‎lattice $zid(mathcal{r}l)$ of $z$-ideals of $mathcal{r}l$ is a‎ ‎normal coherent yosida frame‎, ‎which extends the corresponding $c(x)$‎ ‎result of mart'{i}nez and zenk‎. ‎this we do by exhibiting‎ ‎$zid(mathcal{r}l)$ as a quotient of $rad(mathcal{r}l)$‎, ‎the‎ ‎...

Abstract Let p and $\ell $ be primes such that $p> 3$ $p \mid \ell -1$ k an even integer. We use deformation theory of pseudo-representations to study the completion Hecke algebra acting on space cuspidal modular forms weight level $\Gamma _0(\ell )$ at maximal Eisenstein ideal containing . give a necessary sufficient condition for $\mathbb {Z}_p$ -rank this greater than $1$ in terms vanishi...

Resting energy expenditure (REE) was measured in 112 morbidly obese adults prior to elective gastric bypass surgery. The patients studied ranged from 157 to 327% of ideal body weight. Standard nutritional assessment indices (serum total protein, albumin, total iron binding capacity, hematocrit, and white blood cell count) were within normal limits. REE was estimated by the Harris-Benedict formu...