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MOLECULES AND NEW INTERACTIONAL STRUCTURES FOR A(2+1)-DIMENSIONAL GENERALIZED KONOPELCHENKO-DUBROVSKY-KAUP-KUPERSHMIDT EQUATION 被引量:1
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作者 李岩 姚若侠 夏亚荣 《Acta Mathematica Scientia》 SCIE CSCD 2023年第1期80-96,共17页
Soliton molecules(SMs)of the(2+1)-dimensional generalized KonopelchenkoDubrovsky-Kaup-Kupershmidt(gKDKK)equation are found by utilizing a velocity resonance ansatz to N-soliton solutions,which can transform to asymmet... Soliton molecules(SMs)of the(2+1)-dimensional generalized KonopelchenkoDubrovsky-Kaup-Kupershmidt(gKDKK)equation are found by utilizing a velocity resonance ansatz to N-soliton solutions,which can transform to asymmetric solitons upon assigning appropriate values to some parameters.Furthermore,a double-peaked lump solution can be constructed with breather degeneration approach.By applying a mixed technique of a resonance ansatz and conjugate complexes of partial parameters to multisoliton solutions,various kinds of interactional structures are constructed;There include the soliton molecule(SM),the breather molecule(BM)and the soliton-breather molecule(SBM).Graphical investigation and theoretical analysis show that the interactions composed of SM,BM and SBM are inelastic. 展开更多
关键词 (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation soliton molecules velocity resonance nonelastic interaction
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基于鱼刺图和G1-FUZZY的施工现场火灾危险性分析
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作者 刘晓霞 郭晓婕 《建筑安全》 2024年第5期82-86,共5页
为了保障施工现场消防安全,结合“4M”事故致因理论,运用鱼刺图从人、物、管、环4个方面分析引起施工现场火灾事故的潜在因素,选取了16个施工现场火灾影响因素,建立施工现场火灾风险评价指标体系。以某施工现场为例,通过序关系分析法(G1... 为了保障施工现场消防安全,结合“4M”事故致因理论,运用鱼刺图从人、物、管、环4个方面分析引起施工现场火灾事故的潜在因素,选取了16个施工现场火灾影响因素,建立施工现场火灾风险评价指标体系。以某施工现场为例,通过序关系分析法(G1)确定各指标的权重,利用模糊综合评价(FUZZY)对施工现场火灾危险性进行评价并确定安全等级。结果表明:该施工现场火灾危险性等级为“较安全”,与评价对象实际情况相吻合,并提出消防安全整改措施。 展开更多
关键词 施工现场火灾 鱼刺图 序关系分析法(G1) 模糊综合评价(fuzzy)
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A New Kind of Generalized Pythagorean Fuzzy Soft Set and Its Application in Decision-Making
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作者 Xiaoyan Wang Ahmed Mostafa Khalil 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第9期2861-2871,共11页
The aim of this paper is to introduce the concept of a generalized Pythagorean fuzzy soft set(GPFSS),which is a combination of the generalized fuzzy soft sets and Pythagorean fuzzy sets.Several of important operations... The aim of this paper is to introduce the concept of a generalized Pythagorean fuzzy soft set(GPFSS),which is a combination of the generalized fuzzy soft sets and Pythagorean fuzzy sets.Several of important operations of GPFSS including complement,restricted union,and extended intersection are discussed.The basic properties of GPFSS are presented.Further,an algorithm of GPFSSs is given to solve the fuzzy soft decision-making.Finally,a comparative analysis between the GPFSS approach and some existing approaches is provided to show their reliability over them. 展开更多
关键词 Pythagorean fuzzy set generalized Pythagorean fuzzy soft set ALGORITHM decision making
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Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method
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作者 Mohammad Kamrul Hasan Abeda Sultana Nirmal Kanti Mitra 《American Journal of Computational Mathematics》 2023年第1期99-121,共23页
In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis... In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis. Various related properties are explored. Finally, some computations of picture fuzzy functions over generalized picture fuzzy variables are illustrated by using our proposed technique. 展开更多
关键词 Picture fuzzy Set generalized Trapezoidal Picture fuzzy Number γ β)-Cut Arithmetic Operations Vertex Method
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Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control 被引量:3
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作者 王立明 唐永光 +1 位作者 柴永泉 吴峰 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第10期64-70,共7页
An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional- order chaotic system, where the slave system is not necessarily known in advance. Based on the desig... An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional- order chaotic system, where the slave system is not necessarily known in advance. Based on the designed adaptive update laws and the linear feedback method, the adaptive fuzzy sliding controllers are proposed via the fuzzy design, and the strength of the designed controllers can he adaptively adjusted according to the external disturbances. Based on the Lya- punov stability theorem, the stability and the robustness of the controlled system are proved theoretically. Numerical simu- lations further support the theoretical results of the paper and demonstrate the efficiency of the proposed method. Moreover, it is revealed that the proposed method allows us to manipulate arbitrarily the response dynamics of the slave system by adjusting the desired scaling factor λi and the desired translating factor ηi, which may be used in a channel-independent chaotic secure communication. 展开更多
关键词 generalized projective chaos synchronization fuzzy sliding mode control fractional order chaoticsystem
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Minimization of Fuzzy Finite Generalized Automata 被引量:2
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作者 莫智文 胡红莉 《Journal of Electronic Science and Technology of China》 CAS 2006年第1期86-88,共3页
Some concepts in Fuzzy Generalized Automata (FGA) are established. Then an important new algorithm which would calculate the minimal FGA is given. The new algorithm is composed of two parts: the first is called E-r... Some concepts in Fuzzy Generalized Automata (FGA) are established. Then an important new algorithm which would calculate the minimal FGA is given. The new algorithm is composed of two parts: the first is called E-reduction which contracts equivalent states, and the second is called RE-reduction which removes retrievable states. Finally an example is given to illuminate the algorithm of minimization. 展开更多
关键词 fuzzy language fuzzy finite state automata fuzzy generalized Automata(FGA) minimal automata
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Lump-type solutions of a generalized Kadomtsev–Petviashvili equation in(3+1)-dimensions 被引量:1
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作者 Xue-Ping Cheng Wen-Xiu Ma Yun-Qing Yang 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第10期245-252,共8页
Through the Hirota bilinear formulation and the symbolic computation software Maple, we construct lump-type solutions for a generalized(3+1)-dimensional Kadomtsev-Petviashvili(KP) equation in three cases of the coeffi... Through the Hirota bilinear formulation and the symbolic computation software Maple, we construct lump-type solutions for a generalized(3+1)-dimensional Kadomtsev-Petviashvili(KP) equation in three cases of the coefficients in the equation. Then the sufficient and necessary conditions to guarantee the analyticity of the resulting lump-type solutions(or the positivity of the corresponding quadratic solutions to the associated bilinear equation) are discussed. To illustrate the generality of the obtained solutions, two concrete lump-type solutions are explicitly presented, and to analyze the dynamic behaviors of the solutions specifically, the three-dimensional plots and contour profiles of these two lump-type solutions with particular choices of the involved free parameters are well displayed. 展开更多
关键词 lump-type solution generalized(3+1)-dimensional Kadomtsev-Petviashvili equation HIROTA bilinear form symbolic computation
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Voltage Control of a 12/8 Pole Switched Reluctance Generator Using Fuzzy Logic 被引量:2
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作者 Najmeh Faridnia Masume Seyedyazdi Faridoon Shabaninia 《International Journal of Modern Nonlinear Theory and Application》 2012年第3期107-112,共6页
This paper presents a voltage controller for a 12/8 switched reluctance generator (SRG). SR machines have a robust with simple structure because they have no windings or permanent magnets on the rotor, so they are cap... This paper presents a voltage controller for a 12/8 switched reluctance generator (SRG). SR machines have a robust with simple structure because they have no windings or permanent magnets on the rotor, so they are capable of working at high speed application and at rough condition. However, due to nonlinear nature, doubly salient poles, time variant parameters, and non-ideal current waveform, The SRG output voltage inherently contains ripples. The proposed voltage controller is based on fuzzy logic that is very efficient over uncertainty and parameter variations. The effectiveness of the proposed control method is verified by comparing the obtained result with that of a PI-controller. 展开更多
关键词 Wind Energy SWITCHED Reluctance generATOR Voltage CONTROL fuzzy LOGIC CONTROL
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Category of Generalized Intuitionistic Fuzzy Sets 被引量:1
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作者 YANGWan-cai LIXiao-shen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第2期192-199,共8页
In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that ... In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos. Thirdly, by the use of theory of weak topos GIFS, the power object of an object in GIFS is studied. 展开更多
关键词 CATEGORY TOPOS middle object weak topos generalized intuitionistic fuzzy set
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A Generalized Variable-Coefficient Algebraic Method Exactly Solving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation 被引量:3
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作者 BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期821-826,共6页
A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, th... A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh method, the extended tanh method, the Jacobi elliptic function method, and the algebraic method, the proposed method gives new and more general solutions. 展开更多
关键词 generalized variable-coefficient algebraic method (3+1)-dimensional KP equation exact explicit solutions
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GLP-1-RA类药物市场现状分析
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作者 李进军 赵晨 +1 位作者 王辂 李端华 《国外医药(抗生素分册)》 CAS 2024年第3期210-216,共7页
胰高血糖素样肽-1受体激动剂(GLP-1-RA)类药物凭借降糖平稳,适应证广泛,用药依从性强的优点,在最近十几年里,发展迅速,一跃成为糖尿病药物中销售额最大的品类,但因价格高,上市时间短,普及率不足10%,故市场前景有待挖掘。GLP-1-RA类药物... 胰高血糖素样肽-1受体激动剂(GLP-1-RA)类药物凭借降糖平稳,适应证广泛,用药依从性强的优点,在最近十几年里,发展迅速,一跃成为糖尿病药物中销售额最大的品类,但因价格高,上市时间短,普及率不足10%,故市场前景有待挖掘。GLP-1-RA类药物市场竞争激烈,有多款重磅炸弹药物问世,甚至有年销售额超百亿美元的产品。本文从作用机理、分类、市场演变史、专利状态,国内仿制药现状及国内医疗政策方面描述了GLP-1-RA类药物特点和市场现状。 展开更多
关键词 胰高血糖素样肽-1受体激动剂(GLP-1-RA) 糖尿病 作用机理 市场 专利 仿制药 医疗政策
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Symmetry Groups and New Exact Solutions to (2+1)-Dimensional Variable Coefficient Canonical Generalized KP Equation 被引量:7
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作者 ZHANG Li-Hua LIU Xi-Qiang BAI Cheng-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第3X期405-410,共6页
In this paper, the modified CK's direct method to find symmetry groups of nonlinear partial differential equation is extended to (2+1)-dimensional variable coeffficient canonical generalized KP (VCCGKP) equation... In this paper, the modified CK's direct method to find symmetry groups of nonlinear partial differential equation is extended to (2+1)-dimensional variable coeffficient canonical generalized KP (VCCGKP) equation. As a result, symmetry groups, Lie point symmetry group and Lie symmetry for the VCCGKP equation are obtained. In fact, the Lie point symmetry group coincides with that obtained by the standard Lie group approach. Applying the given Lie symmetry, we obtain five types of similarity reductions and a lot of new exact solutions, including hyperbolic function solutions, triangular periodic solutions, Jacobi elliptic function solutions and rational solutions, for the VCCGKP equation. 展开更多
关键词 (2+1)-dimensional variable coefficient canonical generalized KP (VCCGKP) equation modified CK's'direct method symmetry groups Lie symmetry similarity reductions new exact solutions
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胚胎植入前遗传学检测在阻断常染色体隐性多囊肾病家系多囊肾/多囊肝病变1基因新突变遗传的应用
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作者 王凝 郝燕 +7 位作者 陈大蔚 章志国 匡丹 张清 尹奕琪 魏兆莲 周平 曹云霞 《实用医学杂志》 CAS 北大核心 2024年第7期1006-1010,共5页
目的探讨基于二代测序(NGS)技术的单核苷酸多态性(SNP)连锁分析在常染色体隐性遗传性多囊肾病(ARPKD)家系胚胎植入前遗传学检测(PGT)中的应用价值。方法选取1个ARPKD家系,女方孕期产检发现胎儿有多囊肾行引产,胎儿基因检测为多囊肾/多... 目的探讨基于二代测序(NGS)技术的单核苷酸多态性(SNP)连锁分析在常染色体隐性遗传性多囊肾病(ARPKD)家系胚胎植入前遗传学检测(PGT)中的应用价值。方法选取1个ARPKD家系,女方孕期产检发现胎儿有多囊肾行引产,胎儿基因检测为多囊肾/多囊肝病变1基因(PKHD1)复合杂合突变c.10444C>T(父源)和c.4303del(母源),其中c.4303del突变为首次报道。采用多重聚合酶链反应(PCR)和NGS在突变位点两侧2M区域内选择335个信息丰富、紧密连锁的SNP位点作为遗传连锁标记,构建夫妇双方携带基因突变的SNP风险单体型。体外受精后行囊胚培养。对活检获得的滋养层细胞进行全基因组扩增(WGA)后,采用Sanger测序直接检测PKHD1基因突变,采用基于NGS的SNP连锁分析鉴别携带突变的染色体,同时进行拷贝数变异(CNV)分析以进行低深度的染色体非整倍性筛查。结果6个活检囊胚中有4个为未携带突变的整倍体,有1个携带杂合突变的嵌合体,1个测序数据波动大,无法判断。选择其中1枚未检测到突变的优质整倍体胚胎进行冻融胚胎移植(FET),足月分娩一健康婴儿。结论应用基于NGS的SNP连锁分析进行PGT具有高效稳定的特点,可有效阻断ARPKD在家系中的垂直传递,同时可避免因妊娠非整倍体胚胎而导致的流产问题。该研究也是首次针对PKHD1基因c.4303del突变的PGT报道。 展开更多
关键词 常染色体隐性遗传性多囊肾病 多囊肾/多囊肝病变1基因 SNP连锁分析 二代测序 植入前遗传学检测
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Neuro-fuzzy generalized predictive control of boiler steam temperature 被引量:5
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作者 Xiangjie LIU Jizhen LIU Ping GUAN 《控制理论与应用(英文版)》 EI 2007年第1期83-88,共6页
Power plants are nonlinear and uncertain complex systems. Reliable control of superheated steam temperature is necessary to ensure high efficiency and high load-following capability in the operation of modem power pla... Power plants are nonlinear and uncertain complex systems. Reliable control of superheated steam temperature is necessary to ensure high efficiency and high load-following capability in the operation of modem power plant. A nonlinear generalized predictive controller based on neuro-fuzzy network (NFGPC) is proposed in this paper. The proposed nonlinear controller is applied to control the superheated steam temperature of a 200MW power plant. From the experiments on the plant and the simulation of the plant, much better performance than the traditional controller is obtained, 展开更多
关键词 Neuro-fuzzy networks generalized predictive control Superheated steam temperature
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Minimum Cross Fuzzy Entropy Problem, The Existence of Its Solution and Generalized Minimum Cross Fuzzy Entropy Problems 被引量:1
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作者 Aladdin Shamilov Nihal ince 《Journal of Mathematics and System Science》 2016年第8期315-322,共8页
In the present study we have formulated a Minimum Cross Fuzzy Entropy Problem (Minx(F)EntP) and proposed sufficient conditions for existence of its solution. Mentioned problem can be formulated as follows. In the ... In the present study we have formulated a Minimum Cross Fuzzy Entropy Problem (Minx(F)EntP) and proposed sufficient conditions for existence of its solution. Mentioned problem can be formulated as follows. In the set of membership functions satisfying the given moment constraints generated by given moment functions it is required to choose the membership function that is closest to a priori membership function in the sense of cross fuzzy entropy measure. The existence of solution of formulated problem is proved by virtue of concavity property of cross fuzzy entropy measure, the implicit function theorem and Lagrange multipliers method. Moreover, Generalized Cross Fuzzy Entropy Optimization Methods in the form of MinMinx(F)EntM and MaxMinx(F)EntM are suggested on the basis of primary phase of minimizing cross fuzzy entropy measure for fixed moment vector function and on the definition of the special functional with Minx(F)Ent values of cross fuzzy entropy measure. Next phase for obtaining mentioned distributions consists of optimization of defined functional with respect to moment vector functions. Distributions obtained by mentioned methods are defined as (MinMinx(F)Ent)m and (MaxMinx(F)Ent)m distributions. 展开更多
关键词 Cross fuzzy entropy measure generalized fuzzy entropy optimization problem Existence theorem
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大补肝汤通过调控ROS/Nrf2/HO-1通路对广泛性焦虑症大鼠的改善作用
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作者 黄仕琦 谭国伟 +1 位作者 李艳明 安耀荣 《中成药》 CAS CSCD 北大核心 2024年第7期2202-2210,共9页
目的探讨大补肝汤对广泛性焦虑症(GAD)模型大鼠的作用机制。方法大鼠采用慢性不可预知温和应激法(CUMS)造模21d,随机分为模型组、帕罗西汀组(1.8mg/kg)和大补肝汤高、中、低剂量组(13.2、6.6、3.3g/kg),另设空白组,各组给予相应药物灌胃... 目的探讨大补肝汤对广泛性焦虑症(GAD)模型大鼠的作用机制。方法大鼠采用慢性不可预知温和应激法(CUMS)造模21d,随机分为模型组、帕罗西汀组(1.8mg/kg)和大补肝汤高、中、低剂量组(13.2、6.6、3.3g/kg),另设空白组,各组给予相应药物灌胃,持续28d。干预结束后,检测行为学以分析大鼠焦虑状态,HE染色和尼氏染色观察海马组织病理变化及尼氏体变化,免疫荧光法检测脑组织ROS活性,试剂盒检测海马组织SOD、CAT活性和MDA、GSH水平,RT-qPCR法和Westernblot法检测海马组织Nrf2、Keap1、HO-1、NQO1、BDNF、5-HT1A、caspase-3、p62mRNA和蛋白表达。结果与模型组比较,大补肝汤各剂量组大鼠焦虑行为得到改善,大鼠在高架十字迷宫中开臂端运动距离及总距离、进入明箱次数及停留时间、进入旷场中央时间及次数增加(P<0.05,P<0.01),海马神经细胞数量增加,排列紧密,细胞体损坏改善,细胞中尼氏体增加,海马组织中ROS活性和MDA水平降低(P<0.05,P<0.01),SOD、CAT活性和GSH水平均升高(P<0.05,P<0.01),海马组织Nrf2、HO-1、NQO1、BDNF、5-HT1AmRNA及蛋白表达均升高(P<0.05,P<0.01),p62、Keap1、caspase-3mRNA及蛋白表达均降低(P<0.05,P<0.01)。结论大补肝汤可有效改善GAD大鼠焦虑状态,其机制可能与调控ROS/Nrf2/HO-1信号通路、改善海马神经元氧化应激损伤有关。 展开更多
关键词 大补肝汤 广泛性焦虑症 氧化应激 ROS/Nrf2/HO-1信号通路 海马
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Minimum Cycle of Row Vector of a Generalized Circulant Fuzzy Matrix
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作者 冼国荣 陈卓荣 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第1期104-110, ,共7页
In this paper,we intreduce the concept and discuss the properties of minimum cycle of row vector in a generalized circulant Fuzzy matrix. We present a new expression for circulant Fuzzy matrix,and discuss some propert... In this paper,we intreduce the concept and discuss the properties of minimum cycle of row vector in a generalized circulant Fuzzy matrix. We present a new expression for circulant Fuzzy matrix,and discuss some properties of the idempotent elements of the semigroup of generalized circulant Fuzzy matrixes in connection with minimum cycle of row vector. 展开更多
关键词 generalized circulant fuzzy matrix SEMIGROUP VECTOR CYCLE idempotent element
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gscaLCA in R: Fitting Fuzzy Clustering Analysis Incorporated with Generalized Structured Component Analysis
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作者 Ji Hoon Ryoo Seohee Park +1 位作者 Seongeun Kim Heungsun Hwang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第9期801-822,共22页
Clustering analysis identifying unknown heterogenous subgroups of a population(or a sample)has become increasingly popular along with the popularity of machine learning techniques.Although there are many software pack... Clustering analysis identifying unknown heterogenous subgroups of a population(or a sample)has become increasingly popular along with the popularity of machine learning techniques.Although there are many software packages running clustering analysis,there is a lack of packages conducting clustering analysis within a structural equation modeling framework.The package,gscaLCA which is implemented in the R statistical computing environment,was developed for conducting clustering analysis and has been extended to a latent variable modeling.More specifically,by applying both fuzzy clustering(FC)algorithm and generalized structured component analysis(GSCA),the package gscaLCA computes membership prevalence and item response probabilities as posterior probabilities,which is applicable in mixture modeling such as latent class analysis in statistics.As a hybrid model between data clustering in classifications and model-based mixture modeling approach,fuzzy clusterwise GSCA,denoted as gscaLCA,encompasses many advantages from both methods:(1)soft partitioning from FC and(2)efficiency in estimating model parameters with bootstrap method via resolution of global optimization problem from GSCA.The main function,gscaLCA,works for both binary and ordered categorical variables.In addition,gscaLCA can be used for latent class regression as well.Visualization of profiles of latent classes based on the posterior probabilities is also available in the package gscaLCA.This paper contributes to providing a methodological tool,gscaLCA that applied researchers such as social scientists and medical researchers can apply clustering analysis in their research. 展开更多
关键词 fuzzy clustering generalized structured component analysis gscaLCA latent class analysis
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MULTI-GRAY EDGE DETECTION BASED ON GENERALIZED FUZZY SET
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作者 Wang Hui (Institute of Information Engineering, Shenzhen University, Shenzhen 518060) 《Journal of Electronics(China)》 2002年第4期426-430,共5页
In this letter, drawbacks of the classical algorithm to enhance the fuzzy contrast among adjacent regions are analyzed. Based on it, a new fuzzy enhancement algorithm and a linear fuzzy distribution that maps the gray... In this letter, drawbacks of the classical algorithm to enhance the fuzzy contrast among adjacent regions are analyzed. Based on it, a new fuzzy enhancement algorithm and a linear fuzzy distribution that maps the gray images to corresponding generalized fuzzy set are proposed. Results of two examples illustrate that the algorithm is more effective and faster when used to detect the multi-level edges of images. 展开更多
关键词 fuzzy enhancement generalized fuzzy set Edge detection
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(3+1)维广义非线性发展方程的双线性Backlund变换与精确解
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作者 薛宇英 套格图桑 《内蒙古师范大学学报(自然科学版)》 CAS 2024年第2期173-182,共10页
基于Hirota双线性方法和试探函数法,研究一个(3+1)维广义非线性发展方程的双线性Backlund变换和精确解问题。用Hirota双线性法,构造(3+1)维广义非线性发展方程的双线性形式和双线性Backlund变换。基于双线性形式和双线性Backlund变换,... 基于Hirota双线性方法和试探函数法,研究一个(3+1)维广义非线性发展方程的双线性Backlund变换和精确解问题。用Hirota双线性法,构造(3+1)维广义非线性发展方程的双线性形式和双线性Backlund变换。基于双线性形式和双线性Backlund变换,利用试探函数法与符号计算系统Mathematica,获得(3+1)维广义非线性发展方程的多种精确解,包括呼吸波解、复合型解、Lump周期解和孤子解,并分析解的相互作用情况。 展开更多
关键词 (3+1)维广义非线性发展方程 HIROTA双线性方法 BACKLUND变换 试探函数法 精确解
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