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An overview on the applications of the hesitant fuzzy sets in group decision-making: Theory, support

Zeshui XU, Shen ZHANG

Frontiers of Engineering Management 2019, Volume 6, Issue 2,   Pages 163-182 doi: 10.1007/s42524-019-0017-4

Abstract: Due to the characteristics of hesitant fuzzy sets (HFSs), one hesitant fuzzy element (HFE), which isIn this paper, we elaborate on hesitant fuzzy GDM from these three aspects.The first aspect is mainly about the introduction of HFSs, HFPRs and some hesitant fuzzy aggregationThe second aspect describes the consensus process under hesitant fuzzy environment, which is an importantIn the third aspect, we introduce seven hesitant fuzzy GDM approaches, which can be applied in GDM under

Keywords： hesitant fuzzy set     hesitant fuzzy preference relation     group decision-making    

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Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy Article

Jie DING, Ze-shui XU, Hu-chang LIAO

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 11,   Pages 1679-1692 doi: 10.1631/FITEE.1601546

Abstract: In this paper, we develop two methods for hesitant fuzzy multiple criteria group decision making withgroup consensus in which all the experts use hesitant fuzzy decision matrices (HFDMs) to express theirAll the experts make their own judgments on each alternative over multiple criteria by hesitant fuzzysets, and then the aggregation of each hesitant fuzzy set under each criterion is calculated by theFurthermore, we can calculate the distance between any two aggregations of hesitant fuzzy sets, based

Keywords： Multiple criteria group decision making     Group consensus     Consensus-reaching process     Hesitant fuzzy    

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An enhanced environmental multimedia modeling system based on fuzzy-set approach: I.

Chesheng ZHAN,Rongrong ZHANG,Xiaomeng SONG,Baolin LIU

Frontiers of Environmental Science & Engineering 2015, Volume 9, Issue 3,   Pages 494-505 doi: 10.1007/s11783-013-0609-x

Abstract: In this study, a new user-friendly fuzzy-set enhanced environmental multimedia modeling system (FEEMMSprevious EMMs have been achieved through dynamically quantifying the intermedia mass flux; incorporating fuzzy-set

Keywords： environmental multimedia modelling     fuzzy-set approach     theoretical framework     environmental protection    

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Reliability assessment of three-dimensional bearing capacity of shallow foundation using fuzzy set theory

Rajarshi PRAMANIK, Dilip Kumar BAIDYA, Nirjhar DHANG

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 2,   Pages 478-489 doi: 10.1007/s11709-021-0698-8

Abstract: of reliability theory on surface square/rectangular footing against bearing capacity failure using fuzzyset theory in conjunction with the finite element method.varying medium, where its parameters (cohesion, friction angle, unit weight, etc.) are considered as fuzzy

Keywords： finite element method     square footing     reliability analysis     fuzzy set theory     coefficient of variation     spatial    

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An enhanced environmental multimedia modeling system based on fuzzy-set approach: II.

Rongrong ZHANG,Chesheng ZHAN,Xiaomeng SONG,Baolin LIU

Frontiers of Environmental Science & Engineering 2015, Volume 9, Issue 6,   Pages 1025-1035 doi: 10.1007/s11783-014-0655-z

Abstract: Part I of this study develops an enhanced environmental multimedia modeling system (EMMS) based on fuzzy-setIn addition, with the aid of fuzzy-set approach, EMMS can be a reliable and powerful tool to address

Keywords： environmental multimedia modelling system     fuzzy-set approach     application     model validation     uncertainty    

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A Method of Constructing Fuzzy Neural Network Based on Rough Set Theory

Huang Xianming,Yi Jikai

Strategic Study of CAE 2004, Volume 6, Issue 4,   Pages 44-50

Abstract:

A new method of constructing fuzzy neural network is presented and Rough set theory is applied toSince Rough set theory has strong numeric analyzing ability and fuzzy neural network has exact functionFirst, some rules are acquired from given data set by rough set theory.Then, these rules are applied to constructing neural cell numbers and relative parameters in fuzzy neural

Keywords： fuzzy neural network     rough set     acquire rule     function approaching    

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Incomplete Fuzzy Information System

Yang Xibei,Yang Jingyu,Wu Chen,Fu Fan

Strategic Study of CAE 2006, Volume 8, Issue 7,   Pages 47-53

Abstract:

In this paper, incomplete fuzzy information system is studied.In order to deal with it by rough set theory, fuzzy compatible relation and fuzzy rough approximationFinally, knowledge dependency in rough set theory is transformed to fuzzy knowledge dependency in theincomplete fuzzy information system.A new method for measuring the strength of partial fuzzy knowledge dependency is proposed.

Keywords： incomplete fuzzy information system     fuzzy compatible relation     fuzzy rough set     fuzzy covering     fuzzy roughentropy     fuzzy knowledge dependency    

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A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory

Zheng Yujie,Yang Jingyu,Wu Xiaojun, Li Yongzhi

Strategic Study of CAE 2007, Volume 9, Issue 2,   Pages 49-53

Abstract: In this paper,a new2DLDA algorithm,named fuzzy2DLDA,is proposed.Fuzzy k-nearest neighbour(FKNN) is implementedfirst to achieve the distribution information of original samples represented with fuzzy membership

Keywords： two-dimensional linear discriminant analysis(2DLDA)     fuzzy two-dimensional linear    

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Level set band method: A combination of density-based and level set methods for the topology optimization

Peng WEI, Wenwen WANG, Yang YANG, Michael Yu WANG

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 3,   Pages 390-405 doi: 10.1007/s11465-020-0588-0

Abstract: The level set method (LSM), which is transplanted from the computer graphics field, has been successfullyIn this study, a level set band method is proposed to overcome this drawback in handling topology changesin the level set framework.the continuity of objective and constraint functions by incorporating one parameter, namely, level setThe proposed method demonstrates a flexible topology change by applying a certain size of the level set

Keywords： level set method     topology optimization     density-based method     level set band    

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Multi-objective optimization of a hybrid distributed energy system using NSGA-II algorithm

Hongbo REN, Yinlong LU, Qiong WU, Xiu YANG, Aolin ZHOU

Frontiers in Energy 2018, Volume 12, Issue 4,   Pages 518-528 doi: 10.1007/s11708-018-0594-7

Abstract: optimization model, the non-dominated sorting generic algorithm II (NSGA-II) is employed to derive a setby a crowding distance operator, and the best compromised Pareto solution is determined based on the fuzzyset theory.the numerical study indicate that the NSGA-II results in more diversified Pareto solutions and the fuzzyset theory picks out a better combination of device capacities with reasonable operating strategies.

Keywords： multi-objective optimization     hybrid distributed energy system     non-dominated sorting generic algorithm II     fuzzyset theory     Pareto optimal solution    

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Maximum independent set in planning freight railway transportation

Gainanov Damir N., Mladenovic NENAD, Rasskazova V. A.

Frontiers of Engineering Management 2018, Volume 5, Issue 4,   Pages 499-506 doi: 10.15302/J-FEM-2018031

Abstract: We define a special conflict graph on the basis of a set of acceptable train routes.aims to solve the classical combinatorial optimization problem in relation to the maximum independent setthese constructions, the lower and upper bounds for the number of vertices in the maximum independent set

Keywords： independent set     algorithm     planning of transportation     two-sided estimate    

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Operating mechanism and set pair analysis model of a sustainable water resources system

Chaoyang DU,Jingjie YU,Huaping ZHONG,Dandan WANG

Frontiers of Environmental Science & Engineering 2015, Volume 9, Issue 2,   Pages 288-297 doi: 10.1007/s11783-014-0642-4

Abstract: The study introduces a new approach, set pair analysis theory, to measure the state of a SWRS, and anAn evaluation model of the SWRS based on set pair analysis theory is constructed, and an example of SWRS

Keywords： sustainable water resources system     operating mechanism     set pair analysis model     Shanghai    

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XFEM schemes for level set based structural optimization

Li LI, Michael Yu WANG, Peng WEI

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 335-356 doi: 10.1007/s11465-012-0351-2

Abstract:

In this paper, some elegant extended finite element method (XFEM) schemes for level set method structuralproposed XFEM is a promising structural analysis approach for structural optimization with the level set

Keywords： structural optimization     level set method     extended finite element method (XFEM)     computational accuracy    

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Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency

Manman XU, Shuting WANG, Xianda XIE

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 222-234 doi: 10.1007/s11465-019-0534-1

Abstract: In this study, we develop an isogeometric analysis (IGA)-based level set model for the formulation andThe proposed method is based on a combination of level set method and IGA technique, which uses the non-uniformgeometry representation, but also for IGA-based dynamic analysis and parameterization of the level setsurface, that is, the level set function.

Keywords： topology optimization     level set method     isogeometric analysis     eigenfrequency    

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Characteristics of plankton Hg bioaccumulations based on a global data set and the implications for aquatic

Frontiers of Environmental Science & Engineering 2022, Volume 16, Issue 3, doi: 10.1007/s11783-021-1471-x

Abstract:

• Hg bioaccumulation by phytoplankton varies among aquatic ecosystems.

Keywords： bioaccumulation     Physiological characteristics     A cross-system analysis     Nutrient compositions     Global data set    

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Title Author Date Type Operation

An overview on the applications of the hesitant fuzzy sets in group decision-making: Theory, support

Zeshui XU, Shen ZHANG

Journal Article

Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy

Jie DING, Ze-shui XU, Hu-chang LIAO

Journal Article

An enhanced environmental multimedia modeling system based on fuzzy-set approach: I.

Chesheng ZHAN,Rongrong ZHANG,Xiaomeng SONG,Baolin LIU

Journal Article

Reliability assessment of three-dimensional bearing capacity of shallow foundation using fuzzy set theory

Rajarshi PRAMANIK, Dilip Kumar BAIDYA, Nirjhar DHANG

Journal Article

An enhanced environmental multimedia modeling system based on fuzzy-set approach: II.

Rongrong ZHANG,Chesheng ZHAN,Xiaomeng SONG,Baolin LIU

Journal Article

A Method of Constructing Fuzzy Neural Network Based on Rough Set Theory

Huang Xianming,Yi Jikai

Journal Article

Incomplete Fuzzy Information System

Yang Xibei,Yang Jingyu,Wu Chen,Fu Fan

Journal Article

A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory

Zheng Yujie,Yang Jingyu,Wu Xiaojun, Li Yongzhi

Journal Article

Level set band method: A combination of density-based and level set methods for the topology optimization

Peng WEI, Wenwen WANG, Yang YANG, Michael Yu WANG

Journal Article

Multi-objective optimization of a hybrid distributed energy system using NSGA-II algorithm

Hongbo REN, Yinlong LU, Qiong WU, Xiu YANG, Aolin ZHOU

Journal Article

Maximum independent set in planning freight railway transportation

Gainanov Damir N., Mladenovic NENAD, Rasskazova V. A.

Journal Article

Operating mechanism and set pair analysis model of a sustainable water resources system

Chaoyang DU,Jingjie YU,Huaping ZHONG,Dandan WANG

Journal Article

XFEM schemes for level set based structural optimization

Li LI, Michael Yu WANG, Peng WEI

Journal Article

Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency

Manman XU, Shuting WANG, Xianda XIE

Journal Article

Characteristics of plankton Hg bioaccumulations based on a global data set and the implications for aquatic

Journal Article