In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto...

objective (s): the scarcity of articular cartilage defect to repair due to absence of blood vessels and tissue engineering is one of the promising approaches for cartilage regeneration. the objective of this study was to prepare an extracellular matrix derived decellularized bovine articular cartilage scaffold and investigate its interactions with seeded rat bone marrow mesenchymal stem cells (...

introduction: exercise training increases skeletal muscle capillary density, but the molecular mechanisms of this process are not yet clear. the aim of the present study was to investigate the effect of acute long- term submaximal exercise on serum vascular endothelial growth factor (vegf) as the main angiogenic factor, and matrix metalloproteinases 2 and 9 ( mmp-2 and mmp-9), as the degrading ...

gears are one of the most critical components in power transmission system of an automobile and also many rotating machinery. many studies have been conducted on optimum gear design. the main objective is to design different aluminium metal matrix composite spur gears before and after optimization. aluminium metal matrix material composites are preferred mostly due to their low density. also th...

background chronological aging is associated with a decrease in physical activity levels and consequently a decline in physical fitness, which may contribute to adverse conditions such as cardiovascular disease, hypertension, obesity and physical impairment. objectives this study sought to examine the effects of an 8-week physical activity intervention program on nutritional status and health-r...

consider an n × n matrix polynomial p(λ). a spectral norm distance from p(λ) to the set of n × n matrix polynomials that havea given scalar µ ∈ c as a multiple eigenvalue was introducedand obtained by papathanasiou and psarrakos. they computedlower and upper bounds for this distance, constructing an associated perturbation of p(λ). in this paper, we extend this resultto the case of two given di...

let $g$ be a simple graph with vertex set $v(g) = {v_1, v_2,ldots, v_n}$ and edge set $e(g) = {e_1, e_2,ldots , e_m}$. similar tothe randi'c matrix, here we introduce the randi'c incidence matrixof a graph $g$, denoted by $i_r(g)$, which is defined as the$ntimes m$ matrix whose $(i, j)$-entry is $(d_i)^{-frac{1}{2}}$ if$v_i$ is incident to $e_j$ and $0$ otherwise. naturally, therandi'c incidenc...

let a be a unital algebra over a field of characteristic zero. we show that every derivation from( ) n m a into its dual ( ) n m a ∗ is the sum of an inner derivation and a derivation induced by a derivationfrom a into a∗

in this paper, we will present a modification of the preconditioned aor-type method for solving the linear system. a theorem is given to show the convergence rate of modification of the preconditioned aor methods that can be enlarged than the convergence aor method.