This paper presents fuzzy goal programming approach to quadratic bi-level programming problem. In the model formulation of the problem, we construct the quadratic membership functions by determining individual best solutions of the quadratic objective functions subject to the system constraints. The quadratic membership functions are then transformed into equivalent linear membership functions ...

In this study, a novel algorithm is developed to solve the multi-level multiobjective fractional programming problems, using idea of neutrosophic fuzzy set. The co-efficients in each objective functions assumed be rough intervals. Furthermore, are transformed into two sub-problems based on lower and upper approximation marginal evaluation pre-determined goals for all at level achieved by differ...

The present paper deals with the problem of nding a consistent one-variable pattern from incomplete positive and negative examples. The studied problems are called an extension, a consistent extension and a robust extension, denoted by e, ce and re, respectively. The e corresponds an ordinary decision problem of nding a consistent one-variable patterns for given positive and negative examples. ...

There is increasing interest in the use of instrumental variable analysis to overcome unmeasured confounding in observational pharmacoepidemiological studies. This is partly because instrumental variable analyses are potentially less biased than conventional regression analyses. However, instrumental variable analyses are less precise, and regulators and clinicians find it difficult to interpre...

We investigate the features arising from hydrodynamic effects in graphene and phosphorene devices with finite heat sources, using ab initio calculations to go beyond Callaway's model inform a full linearized scattering operator, solving phonon Boltzmann transport equation through energy-based deviational Monte Carlo methods. explain mechanisms that create those features, showing boundary relati...

The contradiction between economic growth, social development, and water environment deterioration represent significant challenges for river basin sustainable development. By constructing an indicator system of the entropy method is adopted to conduct a quantitative evaluation cities development level Weihe River Basin in Shaanxi Province from 2009 2018, standard deviational ellipse used analy...