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A new semi-order in fuzzy number space (En,D) and its applications

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A new semi-order in fuzzy number space (En,D) and its applic...

Unstructured Decision-making Model Base on Triangular fuzzy number

中国系统工程学会模糊数学与模糊系统委员会第十届年会

作者： Feng Yuhu (Department of applied mathemadcs, Dong Hua University, Shanghai, 200051) (Lab. of Computer Science, ISCAS, Beijing 100080)

A new semi-order in the fuzzy number space (En , D) is introduced. The applications in two fields, semi-order fuzzy supermartingale and submartingale and the limit theory in (E1, D), are discussed.}

关键词： fuzzy number H-difference semi-order fuzzy supermartingale submartingale limit theory

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Unstructured Decision-making Model Base on Triangular Fuzzy ...

A New Method of Aggregation of fuzzy number Based on the Dempster/Shafer Theory

The Second International Conference on Game Theory and Applications (CMGTA’2007)

作者： Xing Cai~+ Xin-bo Zhang College of Information and Electronic Engineering Zhejiang Gongshang University HangZhou China 310035

＜正＞Experts use natural language in the unstructured decision problem,when they are establishing value by pairwise *** can fully express experts’ will,and make experts’ scoring more scientific. fuzzy numbers are introduced,then propose a expansionary 9-point scale and new fuzzy unstructured *** last,this paper explains rationality of this way by one case.

关键词： unstructured decision making natural language expansionary 9-point scale fuzzy number related weights synthetic weights.

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A New Method of Aggregation of Fuzzy Number Based on the Dem...

Solution for generalized fuzzy time-fractional Fisher’s equation using a robust fuzzy analytical approach

2011 Chinese Control and Decision Conference（CCDC）

作者： Bing Yi Kang,Ya Juan Zhang,Xin Yang Deng and Yong Deng are with School of Computer and Information Sciences,Southwest University,Chongqing,400715,China Ji Yi Wu is with Hangzhou Key Lab of E-Business and Information Security,Hangzhou Normal University,Hangzhou,Zhejiang,310036,China Xiao Hong Sun is also with College of Food Science and Technology,Shanghai Ocean University,Shanghai,201306,China Yong Deng is also with Key Subject Laboratory of National defense for Radioactive Waste and Environmental Security,Southwest University of Science and Technology,Mianyang,Sichuan,621010,China,Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education,Xiangtan University,Xiangtan,Hunan,411105,China and School of Electronics & Information Technology,Shanghai Jiao Tong University,Shanghai,200240,China

There exists lots of fuzzy and imprecise information with the development of society and *** to combine and evaluate these information becomes *** paper takes the proportion of the membership function values into consideration and makes use of each interval area value compared with the whole area of fuzzy number to measure the distribution of the membership function values.A triangular membership function was used to represent the fuzzy ***,the BPA of each point selected can be gained through multiplying the membership function values with their proportion *** last,the D/S Theory was used to aggregate the fuzzy *** an instance,we get an acceptable result.

关键词： D/S theory fuzzy number BPA

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Journal of Ocean Engineering and Science 2024年第5期9卷 475-488页

作者： Lalchand Verma Ramakanta Meher Department of Mathematics and Humanities Department Sardar Vallabhbhai National Institute of Technology SuratSurat 395007 GujaratIndia

This work focuses on designing and analyzing a double parametric fuzzy Homotopy analysis approach with Shehu transform for the non-linear fuzzy time-fractional generalized Fisher’s equation(FTFGFE).A triangular fuzzy number is used to describe the Caputo fractional derivative(CFD)of order(0,1)that appears in the modeling problem.A novel double parametric form-based Homotopy analysis approach with its convergence analysis is introduced to examine the fuzzy velocities profiles at different spatial positions with crisp and fuzzy *** examples are offered to demonstrate the method’s efficacy and *** resulting results are compared to otherα=1 results to validate the obtained results and to test the efficiency of the proposed *** errors approximations are provided to support the suggested computing efficiency of the analytical method.

关键词： Double parametric fuzzy number Fisher’s equation fuzzy q-Homotopy analysis Shehu transform method

Numerical investigation on MHD Jeffery-Hamel nanofluid flow with different nanoparticles using fuzzy extension of generalized dual parametric homotopy algorithm

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Journal of Central South University 2024年第6期31卷 1915-1930页

作者： LALCHAND Verma RAMAKANTA Meher Department of Mathematics Sardar Vallabhbhai National Institute of TechnologySurat-395007GujratIndia

This study considers an MHD Jeffery-Hamel nanofluid flow with distinct nanoparticles such as copper,Al_(2)O_(3)and SiO_(2)between two rigid non-parallel plane walls with the fuzzy extension of the generalized dual parametric homotopy *** nanofluids have been formulated to enhance the thermophysical characteristics of fluids,including thermal diffusivity,conductivity,convective heat transfer coefficients and *** to the presence of distinct nanofluids,a change in the value of volume fraction occurs that influences the velocity profiles of the *** short value of nanoparticles volume fraction is considered an uncertain parameter and represented in a triangular fuzzy number range among[0.0,0.1,0.2].A novel generalized dual parametric homotopy algorithm with fuzzy extension is used here to study the fuzzy velocities at various channel ***,the effectiveness of the proposed approach has been demonstrated through a comparison with the available results in the crisp case.

关键词： fuzzy number Jeffery-Hamel(J-H)flow nanofluid homotopy analysis method

A METHOD OF SOLVING THE fuzzy FINITE ELEMENT EQUATIONS IN MONOSOURCE fuzzy numberS

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Applied Mathematics and Mechanics(English Edition) 2000年第11期21卷 1272-1276页

作者：刘长虹陈虬 Department of Applied Mechanics and Engineering Southwest Jiaotong University Chengdu P R China

For same cases the rules of monosource fuzzy numbers con be used into the solution of fuzzy stochastic finite element equations in engineering. This method can reduce the computing quantity of the solution. It can be proved that the amount of the solution is nearly as much as that with the general stochastic finite element method (SFEM). In addition, a new method to appreciate the structural fuzzy failure probability is presented for the needs of the modem engineering design.

关键词： fuzzy number fuzzy stochastic finite element method (FSFEM) Edgeworth series

Numerical Characteristics of fuzzy numbers Based on Credibility Measure

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Journal of Donghua University(English Edition) 2007年第2期24卷 240-243,247页

作者：曾玲 Department of Computational Sciences and Mathematics Guilin University of Electronic Technology

The numerical characteristics of fuzzy numbers include the optimistic value, pessimistic value, expected value, and the variance. We mainly provide the calculation formulae of several numerical characteristics of fuzzy numbers based on credibility measure. Especially, the variance of symmetric fuzzy numbers is formulated, and a super bound for the variance of fuzzy numbers is presented. Meanwhile, some conclusions relative to credibility measure, optimistic and pessimistic values are also given.

关键词： fuzzy number credibility measure optimisticvalue pessimistic value expected value, variance

The Supremum and Infimum of the Set of fuzzy numbers and Its Application

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Communications in Mathematical Research 1997年第3期 253-256页

作者：吴从炘吴冲冯果忱 150001 Department of Mathematics Harbin Institute of Technology

In 1986,Goetschel and Voxman represented a fuzzy number by two usualfunctions,which promote further development of the theory and application of *** example,we can embbed the fuzzy number space E;into a concreteBanach... 详细信息

关键词： fuzzy number The Supremum and Infimum of the Set of fuzzy numbers Continuous fuzzy-valued Function

fuzzy Views on Black-Litterman Portfolio Selection Model

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Journal of Systems Science & Complexity 2018年第4期31卷 975-987页

作者： FANG Yong BO Lin ZHAO Daping WANG Shouyang Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100190 China School of Finance Capital University of Economics and Business Beijing 100070 China

In this paper, views of investor are described in fuzzy sets, and two fuzzy Black-Litterman models are constructed with fuzzy views and fuzzy random views respectively. In the models, expected returns and uncertainty matrix of views are redefined and the views are formulated by fuzzy approaches suitably. Then the models are tested with data from Chinese financial markets. Empirical results show that the fuzzy random views model performs the best, and both the fuzzy models are better than the traditional ones, demonstrating that the fuzzy approaches can contain more information in the views and measure the uncertainty more correctly.

关键词： Black-Litterman optimization fuzzy covariance fuzzy number portfolio selection