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There is plentiful connotation buried in extension, and we thus need a tool to mine the connotation. The Connotation and Extension (C&E) of the theory pioneered in this paper is just as such a tool. The connotation, nuclear connotation and extension in grey relational analysis (GRA), grey model (GM), decision making (DM) are mined such as the generalized energy system (gns) in GM, written as C11 {gns}; ordering (ORD), grey relational grade (GRG), grey relational coefficient (GRC) in GRA, written as graC={GRD, ORD, GRC}. Nuclear connotation is essential to the mathematics resource. [ABSTRACT FROM AUTHOR]

Grey resource efficacy model is effective for describing the developing stage (rapid varying phase) of resource efficacy S curve. In order to further complement the model system, this paper deduces five derived models based on the original resource efficacy model proposed by Professor Deng. The properties of these derived models are then studied respectively. The results show that different models have different structures, contents, solutions and properties, implying the principal of non-uniqueness in grey system theory. [ABSTRACT FROM AUTHOR]

In this paper, the concept and technology way on catching main (superior) contradiction (CMC) and extreme CMC (ECMC) for fast calculation and fast decision making with cloud information along with the definitions on primary cardinal set SET 1°; vital cardinal set SET 2° and cardinal coefficient set SET 3° are pioneered for cardinal estimation and cardinal calculation. [ABSTRACT FROM AUTHOR]

This study applies grey relational analysis to the relationship between levels of chlorophyll- and carotenoid-related compounds and the normalized difference vegetation index (NDVI), as calculated from satellite remote sensing data, during the vegetative growth phase of rice. The results indicate that the polarity of chlorophylls and carotenoids is significantly correlated with the satellite NDVI. The less polar carotenoids are more strongly correlated with the satellite NDVI than the more polar carotenoids. Carotenoid-related compounds are more strongly correlated with satellite NDVI than chlorophyll-related compounds. [ABSTRACT FROM AUTHOR]

This paper firstly introduction the grey theory to the research on bibliometrics, we find an objective comprehensive evaluation method to analyze and estimate journal citation work. Grey relational analysis procedure is elaborated in detail and journals on sociology and management/economy/domestic economy in China academic journal comprehensive cited report in 2008 are selected as an analysis case to elucidate how to analyze and estimate a journal citation work via grey theory with total cited frequency, non-self-citing rates, impact factor, h-index and rates of web-downloaded as examples indexes. The result turns out to be that the 5 indexes have different weightings in journal citation evaluation, which can be quantified through grey relational analysis. [ABSTRACT FROM AUTHOR]

In this paper, a novel type of forward linear prediction (FLP) algorithm based on grey accumulated generating operation (AGO), which is named as Grey-FLP filter, is addressed and applied to reduce the noise interference of fiber optic gyroscope (FOG). Essentially speaking, FLP algorithm is a prediction algorithm, the prediction performance will be affected by the randomness inherent in the output of FOG To improve the performance of FLP algorithm, grey theory is introduced since of randomness reduction property. The semi-physical simulation results present the effectiveness of the proposed filtering algorithm. Quantization noise and angle random walk are the main error terms which reflect the noise level, Allan variance analysis results present that Grey-FLP algorithm is capable of reducing the quantization noise from 0.11 to 0.04, and the angle random walk can be reduced from 6.65x10-4 to 2.49x10-4. [ABSTRACT FROM AUTHOR]

In order to increase grey prediction precision for non-equigap series, this paper proposes an extended GM(1,1) power model for non-equidistant series (non-equidistant GM (1,1) power model) and constructed a non-linear optimization model to obtain the whitened parameters in the model. The results show that the form of non-equidistant GM (1,1) power model is more flexible than the traditional ones. Finally, an engineering example of non-equidistant sequence is cited, which is significantly improved by non-equidistant GM(1,1) power model. [ABSTRACT FROM AUTHOR]

A key feature of the influenza virus is its variability. This study incorporates a control chart concept at different stages of the monitoring process, combined with the whitening function of grey system analysis for distinguishing levels of severity in the data, in order to develop a suitable, flexible tool for the monitoring of severe complicated influenza cases. [ABSTRACT FROM AUTHOR]

Monitoring Parameters (MPs) are necessary for PHM to provide system state information, a quantitative MP selection approach based on grey clustering decision was proposed. Firstly, the basic MP selection criteria were provided. Secondly, the grey clustering decision model for MP optimization selection was constructed, and an integrated method for determining decision index weight was also given. Finally, a case study was presented to demonstrate the proposed MP selection approach for an engine. This approach can be used to select parameters for PHM of any system. [ABSTRACT FROM AUTHOR]

To solve grey impact factor in matrix series, an improved Partial Grey Model based on PGM(1,3), called PGM(1,3+m²), is proposed here. Meanwhile, partial grey derivative is introduced. Finally, an example is used to illustrate that PGM(1,3+m²) is superior to the existing grey models when simulating or predicting the multi-stream or long data series. [ABSTRACT FROM AUTHOR]

For the multi-dimensional force sensor output coupling problem between dimensions, the static calibration and decoupling methods of multi-dimensional force sensor were proposed based on GM(0,N) model. Based on the self-developed two-dimensional force calibration device, we conducted the calibration experiments of axial force and radial force for the two-dimensional bone force sensor so as to obtain the calibration data. The two-dimensional bone force sensor is analyzed by the GM(0, 2) calibration and decoupling model and the traditional matrix method respectively, contrasting the precisions of two methods. The analysis results show that: the proposed calibration and decoupling method of multi-dimensional force sensor in this paper has higher precision. [ABSTRACT FROM AUTHOR]

The stable control of roll is a vital issue of underwater unmanned vehicle (UUV) dynamic performance research, but even a challenge is that the analysis of the abnormal roll return-to-zero (RZ) adjusting procedure exploded by external complicated circumstance. Based on the nonlinearity and the single-peak-envelope of the studied roll time-series, the method for time of RZ (TRZ) estimate using grey Verhulst (GV) is proposed in this paper. The absolute error of estimated TRZ to real TRZ is less than 1 second, thus it's believed that the method has high precision when applied in abnormal RZ adjusting procedure. [ABSTRACT FROM AUTHOR]

Although the study of the gene information is often based on the completed sequences, the parts we can get most of its from the lab are segments of DNA, which just keeps parts of the information. This paper developed an algorithm, named numerical mapping of information units, translating the bases of biomolecular sequence to a digital sequence for modeling in mathematics. On this above basis, we analyze the dynamic trend of the energy of small-scale fragments by GM(1,N) model and comprehends how the genetic information exists. Here we get the cDNA sequences of the GCN2 from the Arabidopsis thaliana for example. [ABSTRACT FROM AUTHOR]

In order to deal with the long series blending mixed with backbone data and non-backbone along with the nucleus less-data, the Blind-head principle (BH principle) and the nucleus less-data model is pioneered in this paper. [ABSTRACT FROM AUTHOR]

In order to save the ancient medicine: "Traditional Chinese Medicine (TCM)", we have to mine TCM's potential scientific spirits for turning TCM's status from being skeptical to legible. To inherit and extend the ancient Zang Xiang (ZX) (Theory of visceral manifestation) in "Yellow Emperor's Canon of Medicine", combine the modem grey theory and modem mathematical the resource sciences with ZX theory, we pioneered the grey mathematical Zang Xiang (GMZX). And based on modem grey mathematical resource science some vital available results are obtained: such as the Excessive internal heat (EIH) Theorem; Mathematization of physiology and pathology in TCM; The metabolism algorithms of living things. Those results protect the cultural heritage of five thousand years Chinese and lichen the pathology and physiology of TCM (such as viscera-state doctrine in EIH Theorem). [ABSTRACT FROM AUTHOR]

The notion and definition of contingency resources are developed in terms of whose characters and the stock dynamic relationship is studied. The parameter packs of this dynamic relationship with some allocating points are deduced in this paper, some theorems on resource allocation points are obtained. [ABSTRACT FROM AUTHOR]

In this paper, a novel concept "Oi, Oi resource" is developed, which is a distinct resource belonging to mental sphere, like Oi theory in Chinese Traditional Medicine. Some definitions and numerical relations are obtained. [ABSTRACT FROM AUTHOR]

In this paper, the definition on grey entropy is pioneered. Based on grey entropy. the grey clout is developed. Grey clout underlies the grey target decision making (DM). [ABSTRACT FROM AUTHOR]

The essential concept of cause-effect space of resources is pioneered in this paper, along with the CEGRA (cause-effect grey relational analysisl which is predicated on the basis of cause-effect incidenceness and comparisons. [ABSTRACT FROM AUTHOR]

Pioneered in this paper is the resources random rationing with Piosson distribution along with the algorithm of Piosson probability being predicted on Piosson series. A calculated example is cited. [ABSTRACT FROM AUTHOR]

In order to build a framework for image thinking about virtual resources, such-as stock (without gains yet); resources (efficacy remaining to be confirmed): mathematics model (e.g. urban programming to be implemented), this paper has pioneered a practical graph for studying planning modeling for analysis of virtual resources. [ABSTRACT FROM AUTHOR]

Grey Mathematical Resource Sciences (GMRS). pioneered by Deng Julong in 2007 [ I ]. connotes the novel development and a novel results of the grey system theory. [ABSTRACT FROM AUTHOR]

The substances on grey modeling in algorithm, connotations mechanism, background are studied in terms of energy-gathering and resource efficiency. [ABSTRACT FROM AUTHOR]

By studying the inherent attributes of the brand effect behaviour, as a social energy representation, in terms of its mathematical, marketing properties and moral connotations, we have obtained in the comparability theorem of brand effects along with some relevant propositions. [ABSTRACT FROM AUTHOR]

In this paper, the definitions, attributes on intellectual energy, along with the propositions for explaining what intellectual energy means are pioneered. [ABSTRACT FROM AUTHOR]

In this paper, the concept of society, energy is pioneered along with its properties and functions. Meanwhile, the differences among various social groups, i.e. the so-called (inner) stresses are analyzed, and thus the corresponding theorems and definitions are obtained. [ABSTRACT FROM AUTHOR]

In this paper, the grey mathematical space notion is pioneered, which facilitates us to obtain the mechanics concept in grey operations, thus going far toward to lay the foundation of GMS. [ABSTRACT FROM AUTHOR]

In this paper, the notion and distinction on grey mathematical sciences is pioneered, such that the imminent effectiveness principle along with imminent effectiveness data principle are pioneered. [ABSTRACT FROM AUTHOR]

By utilizing and extending the frame of integer programming, this paper pioneers a novel programming, in terms of lower limiting expending resources. A numerical example is cited for elaborating the programming process. [ABSTRACT FROM AUTHOR]

The sparing resource Grey Linear Programming (SRGLP) is pioneered based on Grey Orlicz Space and the notion of non-classical product. An instance of SRGLP is cited for elaboration. [ABSTRACT FROM AUTHOR]

Making use of MATLAB design language as tool of math computing and simulations, the influence of variation of modeling data on parameters of GM(1, 1) model is researched in the case of the original sequence with no more than 10 data. The results show that the value of developing coefficient a increases as the second datum of original sequence increases and decreases as the last datum of original sequence increases. [ABSTRACT FROM AUTHOR]

Based on C manifold the ditetragon mappings: general ones, complicated ones, collateral ones along with the layouting modeling are pioneered in this paper. [ABSTRACT FROM AUTHOR]

In this paper, in terms of the grey situation decision making concepts, the systematic and mathematic notions on management sciences are developed, which is buttressed by management sciences with scientific solid facts and results in grey system theory. [ABSTRACT FROM AUTHOR]

In this paper, a novel programming, ergodic sparing resources programming is pioneered. It is predicated on the ncp (non-classical product) and ncB (non-classical binding conditon). [ABSTRACT FROM AUTHOR]

The article focuses on the stress equilibrium principles in grey modeling (GM). It defines the components to form assemble energy element in assembling energy space. It discusses the interleaved stress equilibrium and stress equilibrium principles. It concludes that stress equilibrium principle underlays the background value of GM.

The article focuses on the contribution of the brand effect, also referred to as intellectual energy, to the progress of human society. It details the meaning of the term brand effect field. It notes that the definition of brand effect level is the distance from the marketing point to warehouse, provided that there is a rich revenue obtained via the marketing.

The essentials and studying significance on GRT is elaborated in this paper. [ABSTRACT FROM AUTHOR]