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Study on Improvement of Token and Arithmetic of Interval Grey Numbers and Its GM(1,1) Model

Fang Zhigeng,Liu Sifeng,Lu Fang,Wan Jun,Liu Bin

Strategic Study of CAE 2005, Volume 7, Issue 2,   Pages 57-61

Abstract: and distorted the information heavily, this paper defined the standard interval grey number and thefirst and the second standard grey number, and analyzed their relationship.Furthermore, it designed the transformation rule from general grey number to the standard interval greynumber, and developed the operation principle of the standard interval grey number to solve preferablyLast, the paper established the GM (1,1) model based on the interval grey number and got a good effect

Keywords： interval grey number     standard interval grey number     token     GM(1     1) model     computation rules    

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Study on the Multi-attribute Decision Model of Grey Target Based on Interval Number

Dang Yaoguo,Liu Sifeng,Liu Bin

Strategic Study of CAE 2005, Volume 7, Issue 8,   Pages 31-35

Abstract: but none has studied the interval number decision model in grey target decision.In this paper, the interval number, the distance of m dimension interval number and its characteristicsnumber is proved, then, the method to normalize the interval number is developed.Based on the above, the multi-attribute decision model of grey target based on interval number is derived, which extends the grey target decision model from real number sequence to interval number sequence

Keywords： interval number     grey target decision     model     application    

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An Axiomatic Definition of Degree of Greyness of Grey Number

Liu Sifeng,Li Yi

Strategic Study of CAE 2004, Volume 6, Issue 8,   Pages 91-94

Abstract:

In this paper, an axiomatic system for the definition of degree of greyness of grey number is builtbased on discussion with two definitions of degree of greyness of grey number which have been put forwardTaking axioms as the criterion for definition of degree of grayness of grey number, a new formula fordefinition of degree of grayness of grey number has been formed with measure of the right range of greynumber and the background or field which is brought about by the grey number.

Keywords： grey systems     degree of greyness of grey number     measure     axiomatic definition    

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MPC-based interval number optimization for electric water heater scheduling in uncertain environments

Jidong WANG, Chenghao LI, Peng LI, Yanbo CHE, Yue ZHOU, Yinqi LI

Frontiers in Energy 2021, Volume 15, Issue 1,   Pages 186-200 doi: 10.1007/s11708-019-0644-9

Abstract: In this paper, interval number optimization and model predictive control are proposed to handle the uncertain-but-boundedFirst of all, interval numbers are used to describe uncertain parameters including hot water demand,number model, based on which, the day-ahead load scheduling problem with uncertain parameters is formulated, and solved by interval number optimization.Simulation results demonstrate that interval number optimization either in day-ahead optimization or

Keywords： electric water heater     load scheduling     interval number optimization     model predictive control     uncertainty    

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Experiment and surge analysis of centrifugal two-stage turbocharging system

HE Yituan, MA Chaochen

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 4,   Pages 365-368 doi: 10.1007/s11465-008-0073-7

Abstract: rotation speed of a high pressure (HP) stage compressor can be converted into corrected parameters under a standardcondition according to the Mach number similarity criterion, because the air flow in a HP stage compressorhas entered the Reynolds number () auto-modeling range.

Keywords： auto-modeling     compressor     Reynolds number     characteristic     standard condition    

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An interval type-2 fuzzy logic controller for TCSC to improve the damping of power system oscillations

Manoj Kumar PANDA, Gopinath PILLAI, Vijay KUMAR

Frontiers in Energy 2013, Volume 7, Issue 3,   Pages 307-316 doi: 10.1007/s11708-013-0269-3

Abstract: In this paper an interval type-2 fuzzy logic controller (IT2FLC) was proposed for thyristor controlledFor controller design, memberships of system variables were represented using interval type-2 fuzzy sets

Keywords： power system oscillations     thyristor controlled series capacitor (TCSC)     type-2 fuzzy logic system     interval    

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Multi-objective optimization of cutting parameters in high-speed milling based on grey relational analysis

Tao FU, Jibin ZHAO, Weijun LIU

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 445-452 doi: 10.1007/s11465-012-0338-z

Abstract: In this study, the optimum cutting parameters are obtained by the grey relational analysis.The results of experiments show that grey relational analysis coupled with principal component analysis

Keywords： high-speed milling     grey relational analysis     principal component analysis     parameters optimization    

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A consensus model for group decision making under interval type-2 fuzzy environment

Xiao-xiong ZHANG,Bing-feng GE,Yue-jin TAN

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 3,   Pages 237-249 doi: 10.1631/FITEE.1500198

Abstract: We propose a new consensus model for group decision making (GDM) problems, using an interval type-2 fuzzyIn our model, experts are asked to express their preferences using linguistic terms characterized by intervalIn general, experts with a lower level of importance require a larger number of suggestions to change

Keywords： Group decision making (GDM)     Interval type-2 fuzzy sets (IT2 FSs)     Feedback mechanism    

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An interval joint-probabilistic programming method for solid waste management: a case study for the city

Yi XU, Shunze WU, Hongkuan ZANG, Guiguang HOU

Frontiers of Environmental Science & Engineering 2014, Volume 8, Issue 2,   Pages 239-255 doi: 10.1007/s11783-013-0536-x

Abstract: In response to these challenges, an interval joint-probabilistic mixed-integer programming (IJMP) methodIn the IJMP, joint probabilistic constraints are introduced into an interval-parameter mixed-integerprogramming framework, such that uncertainties presented in terms of interval values and random variablesMoreover, a number of violation levels for the waste-management-capacity constraints are examined, which

Keywords： interval analysis     mixed integer     joint probabilistic constraint     planning     uncertainty     waste management    

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Research on the ecological compensation standard of the basin pollution control project based on evolutionary

Dongbin HU, Huiwu LIU, Xiaohong CHEN, Yang CHEN

Frontiers of Engineering Management 2019, Volume 6, Issue 4,   Pages 575-583 doi: 10.1007/s42524-019-0044-1

Abstract: Ecological compensation is a new resource and environment management model. As one of the main areas for implementing ecological compensation policies, basin ecological compensation has become an important measure for encouraging basin pollution control projects and improving the quality of regional economic development. By applying the basic game analysis of evolutionary game theory and building an evolutionary game model with a “reward–punishment” mechanism, this paper compares the interest-related decision-making behaviors of the upstream and downstream stakeholders of basin ecological compensation. By using data on the water quality of Xiangjiang River Basin, this paper calculates the rewards and penalties in different intervals by building a parametric regression mathematical model and employing the local linear regression method. Results show that a decline in water quality should be fined RMB 925500 yuan, an improvement in water quality should be awarded RMB 1227800 yuan, and a deteriorating water quality should be severely fined RMB 5087600 yuan.

Keywords： evolutionary game     ecological compensation standard     Xiangjiang River Basin    

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Application of grey-taguchi method for optimization of dry sliding wear properties of aluminum MMCs

Rajesh SIRIYALA, Gopala Krishna ALLURU, Rama Murthy Raju PENMETSA, Muthukannan DURAISELVAM

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 3,   Pages 279-287 doi: 10.1007/s11465-012-0329-0

Abstract: Initially, the optimization of the dry sliding performance of the SiC-reinforced MMCs was performed using greyBased on the GRA, the optimum level parameters for overall grey relational grade in terms of WVL andAnalysis of variance was performed to determine the effect of individual factors on the overall grey

Keywords： aluminum     ANOVA (analysis of variance)     grey relational analysis     metal matrix composites     SiC particulates    

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Estimating the number of Chinese cancer patients eligible for and benefit from immune checkpoint inhibitors

Frontiers of Medicine 2022, Volume 16, Issue 5,   Pages 773-783 doi: 10.1007/s11684-021-0902-1

Abstract: The total number of cancer patients who are eligible for and will benefit from immune checkpoint inhibitorsThis cross-sectional study was conducted to estimate the number of Chinese cancer patients with eligibilityThe estimated number of eligible patients annually was 1 290 156 (55.18%), which included 888 738 malesThe estimated number of responders annually was 448 972 (19.20%), which included 309 023 males (20.88%hepatocellular carcinoma (n=277 100, 11.85%) were the top three cancer types with the highest number

Keywords： benefit     China     eligibility     immune checkpoint inhibitor     public health    

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Analytic Method to a Kind of Grey Fuzzy Decision Making Based on Entropy

Luo Dang,Liu Siwei

Strategic Study of CAE 2004, Volume 6, Issue 10,   Pages 48-51

Abstract:

Based on grey system theory and fuzzy theory, uncertain decision making problems and several relativearticles were studied, then points out the advantage and shortage of them when dealing with grey fuzzymaximum entropy formulism, a method for multi-attribute group decision making based on the theory of grey

Keywords： grey fuzzy relation     entropy     multi-attribute decision making    

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Standard model of knowledge representation

Wensheng YIN

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 3,   Pages 275-288 doi: 10.1007/s11465-016-0372-3

Abstract: According to ontology, system theory, and control theory, a standard model of knowledge representationIn addition, the standard model of knowledge representation provides a way to solve problems of non-precision

Keywords： knowledge representation     standard model     ontology     system theory     control theory     multidimensional representation    

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A refined risk explicit interval linear programming approach for optimal watershed load reduction with

Pingjian YANG,Feifei DONG,Yong LIU,Rui ZOU,Xing CHEN,Huaicheng GUO

Frontiers of Environmental Science & Engineering 2016, Volume 10, Issue 1,   Pages 129-140 doi: 10.1007/s11783-014-0683-8

Abstract: To enhance the effectiveness of watershed load reduction decision making, the Risk Explicit IntervalThe results of the standard and refined REILP model were compared under 11 aspiration levels.refined REILP, it is possible to obtain solutions that preserve the same constraint risk as that in the standard

Keywords： refined risk explicit interval linear programming     decision making     objective-constraint uncertainty tradeoff    

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Title Author Date Type Operation

Study on Improvement of Token and Arithmetic of Interval Grey Numbers and Its GM(1,1) Model

Fang Zhigeng,Liu Sifeng,Lu Fang,Wan Jun,Liu Bin

Journal Article

Study on the Multi-attribute Decision Model of Grey Target Based on Interval Number

Dang Yaoguo,Liu Sifeng,Liu Bin

Journal Article

An Axiomatic Definition of Degree of Greyness of Grey Number

Liu Sifeng,Li Yi

Journal Article

MPC-based interval number optimization for electric water heater scheduling in uncertain environments

Jidong WANG, Chenghao LI, Peng LI, Yanbo CHE, Yue ZHOU, Yinqi LI

Journal Article

Experiment and surge analysis of centrifugal two-stage turbocharging system

HE Yituan, MA Chaochen

Journal Article

An interval type-2 fuzzy logic controller for TCSC to improve the damping of power system oscillations

Manoj Kumar PANDA, Gopinath PILLAI, Vijay KUMAR

Journal Article

Multi-objective optimization of cutting parameters in high-speed milling based on grey relational analysis

Tao FU, Jibin ZHAO, Weijun LIU

Journal Article

A consensus model for group decision making under interval type-2 fuzzy environment

Xiao-xiong ZHANG,Bing-feng GE,Yue-jin TAN

Journal Article

An interval joint-probabilistic programming method for solid waste management: a case study for the city

Yi XU, Shunze WU, Hongkuan ZANG, Guiguang HOU

Journal Article

Research on the ecological compensation standard of the basin pollution control project based on evolutionary

Dongbin HU, Huiwu LIU, Xiaohong CHEN, Yang CHEN

Journal Article

Application of grey-taguchi method for optimization of dry sliding wear properties of aluminum MMCs

Rajesh SIRIYALA, Gopala Krishna ALLURU, Rama Murthy Raju PENMETSA, Muthukannan DURAISELVAM

Journal Article

Estimating the number of Chinese cancer patients eligible for and benefit from immune checkpoint inhibitors

Journal Article

Analytic Method to a Kind of Grey Fuzzy Decision Making Based on Entropy

Luo Dang,Liu Siwei

Journal Article

Standard model of knowledge representation

Wensheng YIN

Journal Article

A refined risk explicit interval linear programming approach for optimal watershed load reduction with

Pingjian YANG,Feifei DONG,Yong LIU,Rui ZOU,Xing CHEN,Huaicheng GUO

Journal Article