Aiming at stochastic multi-criteria decision problems brought by criterion value with extended grey number, a grey stochastic multi-criteria decision-making method based on Hausdorff distance is proposed. Firstly, definitions, calculation rules and distance formulas of expanded grey number random variables and expectations are given. Then based on grey decision matrix and natural state probabil...

In a paper by Chang [D.Y. Chang, Applications of the extent analysis method on fuzzy AHP, European Journal of Operational Research 95 (1996) 649–655], an extent analysis method on fuzzy AHP was proposed to obtain a crisp priority vector from a triangular fuzzy comparison matrix. It is found that the extent analysis method cannot estimate the true weights from a fuzzy comparison matrix and has l...

In this work, we determine all possible angular momentum matrix elements arising in the variational treatment of the rovibrational molecular Hamiltonian. In addition, the logic of the associated computing process is organized in a series of decision tables. Using Shwayder ́s approach, information theory is applied to obtain optimal computing codes from the decision tables. The needed decision ru...

For grey stochastic multi-criteria decision-making problem with criterion value as extended grey number, the study proposes grey stochastic multi-criteria decision-making approach based on Hausdorff distance. First, it provides definition and operation rule of extended grey number stochastic variable and expectation, then obtains expectation decision matrix about grey number based on grey decis...

Sustainable agriculture is a complex problem that demands consideration of many interrelated factors, processes, and institutions. Unfortunately, current definitions of sustainability are expansive, and use as a guide for strategic planning or decision making is clouded by ambiguity and a plethora of definitions. Regardless of how sustainability is defined, agricultural producers are interested...

We study the theoretical capacity to statistically learn local landscape information by Evolution Strategies (ESs). Specifically, we investigate the covariance matrix when constructed by ESs operating with the selection operator alone. We model continuous generation of candidate solutions about quadratic basins of attraction, with deterministic selection of the decision vectors that minimize th...

a matrix $pintextmd{c}^{ntimes n}$ is called a generalized reflection matrix if $p^{h}=p$ and $p^{2}=i$‎. ‎an $ntimes n$‎ ‎complex matrix $a$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $p$ if $a=pap$ ($a=-pap$)‎. ‎in this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $axb=c$ and $dxe=f$ over reflexiv...

matrix metalloproteinases (mmps) are a family of neutral proteinases that are important in normal development, cellular differentiation or migration, angiogenesis, neurogenesis, wound repair, and a wide range of pathological processes such as oxidative stress and neuroinflammation. mmps have been demonstrated to increase the permeability of the blood–brain barrier (bbb) by degrading the compone...

The aim of this paper is to develop a linear programming technique for multidimensional analysis of preferences in multiattribute group decision making under fuzzy environments. Fuzziness is inherent in decision data and group decision making processes, and linguistic variables are well suited to assessing an alternative on qualitative attributes using fuzzy ratings. A crisp decision matrix can...

n recent years, there has been a great deal of interest in emergency preparedness. This is especially true in light of concerns about a pandemic of the H5N1 virus, the “bird flu.”* Ethical concerns include ensuring access to basic resources such as health care, and the duties of professionals to perform their task in the face of such events.1† Like other states, Oregon set out to establish an e...