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The method of risk evaluation for equipment development based on triangular fuzzy number and TOPSIS

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The method of risk evaluation for equipment development base...

A Novel Method for Decision Making Based on triangular fuzzy number

第26届中国控制与决策会议

作者： Shao-qi Zhou Wen-bing Chang Sheng-han Zhou Wei Liu School of Reliability and Systems Engineering Beijing University of Aeronautics and Astronautics

ISBN: (纸本)9781479937097

Risk evaluation of equipment development, it’s the key point to make sure the success of the whole equipment development. Firstly, the paper respectively provided methods of how to transform three typical forms of uncertainty risk information into triangular fuzzy number. Then, the paper established risk assessment models based on triangular fuzzy number and TOPSIS. Finally, the paper tested the above model using examples.

关键词： three forms of uncertainty risk information transformation triangular fuzzy number TOPSIS risk evaluation

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A Novel Method for Decision Making Based on Triangular Fuzzy...

fuzzy MODEL FOR TWO-DIMENSIONAL RIVER WATER QUALITY SIMULATION UNDER SUDDEN POLLUTANTS DISCHARGED

2009中国控制与决策会议

作者： LIAO Yong School of Traffic and Transportation,Southwest Jiaotong University,Chengdu 610031,China

＜正＞The aim of this paper is to explore a novel method for decision making based on triangular fuzzy *** order to obtain the mathematical model of multi-attribute decision making（MADM） under the condition of fuzzy environment,triangular fuzzy number is introduced into MADM in this *** entries in judgment matrix are represented by triangular fuzzy *** final evaluation value of each alterative is achieved after normalization of judgment *** degree of dominance between alternatives is defined by the way of difference of two triangular fuzzy *** complementary judgment matrix expressed by crisp number is built up on degree of dominance between *** ordering vector of alternatives is figured out by using the least-square *** order of alternatives is gained according to the value of element of the ordering vector.

关键词： triangular fuzzy number Complementary Judgment Matrix Reciprocal Judgment Matrix Modeling

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Journal of Hydrodynamics 2007年第4期19卷 434-441页

作者： LI Ru-zhong SHIGEKI Masunaga HONG Tian-qiu QIAN Jia-zhong School of Resources and Environmental Engineering Hefei University of Technology Hefei 230009 China Graduate School of Environment and Information Sciences Yokohama National University Yokohama 240-8501 Japan

Based on the fuzziness and impreciseness of water environmental system, the fuzzy arithmetic was used to simulate the fuzzy and imprecise relations in modeling river water quality. By defining the parameters of water quality model as symmetrical triangular fuzzy numbers, a two-dimensional fuzzy water quality model for sudden pollutant discharge is established. From the fuzzy model, the pollutant concentrations, corresponding to the specified confidence level of a, can be obtained by means of the a-cut technique and arithmetic operations of triangular fuzzy numbers. Study results reveal that it is feasible in theory and reliable on calculation applying triangular fuzzy numbers to the simulation of river water quality.

关键词： fuzzy water quality simulation model triangular fuzzy number membership function a-cut technique

Numerical solution of the imprecisely defined inverse heat conduction problem

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Chinese Physics B 2015年第5期24卷 153-162页

作者： Smita Tapaswini S.Chakraverty Diptiranjan Behera Department of Mathematics National Institute of Technology Rourkela

This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solution process, double parametric forms of fuzzy numbers are used with the variational iteration method （VIM）. This problem first computes the uncertain temperature distribution in the domain. Next, when the uncertain temperature measurements in the domain are known, the functions describing the uncertain temperature and heat flux on the boundary are reconstructed. Related example problems are solved using the present procedure. We have also compared the present results with those in [Inf. Sci. （2008） 178 1917] along with homotopy perturbation method （HPM） and [Int. Commun. Heat Mass Transfer （2012） 39 30] in the special cases to demonstrate the validity and applicability.

关键词： triangular fuzzy number double parametric form of fuzzy numbers uncertain inverse heat con-duction variational iteration method (VIM)

fuzzy Reliability and Availability of System under a Calendar-based Inspection Involving Multiple Failures and Its Application to Wind Turbine System

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Journal of Systems Science and Systems Engineering 2024年第2期33卷 187-206页

作者： Mintu Kumar Himani Pant S.B.Singh Department of Mathematics Statistics and Computer Science G.B.Pant University of AgricultureTechnologyPantnagarUttarakhandIndia

Uncertainty is an important factor that needs to be considered while analyzing the performance of any engineering *** order to quantify uncertainty,fuzzy set theory is frequently used by most of researchers,including energy system *** to the classical reliability theory,component lifetimes have crisp parameters,but due to uncertainty and inaccuracy in data,it is sometimes very difficult to determine the exact values of these parameters in real-world *** overcome this difficulty in the current research,failure and repair rates were taken as triangular fuzzy numbers to determine the fuzzy availability of a system undergoing calendar-based periodic inspection subject to multiple failure modes(FMs).It was assumed that each component in the system had an exponential failure rate and repair rate with fuzzy *** FMs were explicitly taken into account when a functional state of the system was *** FM had a random failure *** the occurrence of any failure,a random time was selected for the relevant corrective repair *** proposed research was studied for one of the major sources of green energy,namely a wind turbine system wherein all the derived propositions have been implemented on it.

关键词： fuzzy reliability fuzzy availability wind turbine system multiple failure modes triangular fuzzy number

Method for solving fully fuzzy linear programming problems using deviation degree measure

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Journal of Systems Engineering and Electronics 2013年第5期24卷 793-799页

作者： Haifang Cheng Weilai Huang Jianhu Cai School of Management Huazhong University of Science and Technology College of Economics and Management Zhejiang University of Technology

A new fully fuzzy linear programming （FFLP） problem with fuzzy equality constraints is discussed. Using deviation degree measures, the FFLP problem is transformed into a crisp 6-parametric linear programming （LP） problem. Giving the value of deviation degree in each constraint, the 6-fuzzy optimal solution of the FFLP problem can be obtained by solving this LP problem. An algorithm is also proposed to find a balance-fuzzy optimal solution between two goals in conflict： to improve the values of the objective function and to decrease the values of the deviation degrees. A numerical example is solved to illustrate the proposed method.

关键词： fully fuzzy linear programming (FFLP) fuzzy equality constraint triangular fuzzy number deviation degree.

Extension of TOPSIS for fuzzy multi-attribute decision making problem based on experimental analysis

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Journal of Systems Engineering and Electronics 2010年第3期21卷 416-422页

作者： Min Tian Yuanyuan He Sifeng Liu College of Economics and Management Nanjing University of Aeronautics and Astronautics Nanjing 210016 P. R. China

This paper is concerned with a technique for order performance by similarity to ideal solution（TOPSIS） method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly known and the attribute values take form of triangular fuzzy *** the fact that the triangular fuzzy TOPSIS results yielded by different distance measures are different from others,a comparative analysis of triangular fuzzy TOPSIS ranking from each distance measure is illustrated with discussion on standard *** applying the most reasonable distance,the deviation degrees between attribute values are measured.A linear programming model based on the maximal deviation of weighted attribute values is established to obtain the attribute ***,alternatives are ranked by using TOPSIS ***,a numerical example is given to show the feasibility and effectiveness of the method.

关键词： fuzzy multi-attribute decision making technique for order performance by similarity to ideal solution(TOPSIS) method triangular fuzzy number distance measure.

Site selection of emergency material warehouse under fuzzy environment

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Journal of Central South University 2013年第6期20卷 1610-1615页

作者：刘诚陈则辉龚玉燕 School of Mathematics and Statistics Central South University

The objective of this work was to determine the location of emergency material warehouses. For the site selection problem of emergency material warehouses, the triangular fuzzy numbers are respectively demand of the demand node, the distance between the warehouse and demand node and the cost of the warehouse, a bi-objective programming model was established with minimum total cost of the system and minimum distance between the selected emergency material warehouses and the demand node. Using the theories of fuzzy numbers, the fuzzy programming model was transformed into a determinate bi-objective mixed integer programming model and a heuristic algorithm for this model was designed. Then, the algorithm was proven to be feasible and effective through a numerical example. Analysis results show that the location of emergency material warehouse depends heavily on the values of degree a and weight wl. Accurate information of a certain emergency activity should be collected before making the decision.

关键词： bi-objective mixed-integer programming emergency material warehouse triangular fuzzy number site selection

Solving Fully fuzzy Nonlinear Eigenvalue Problems of Damped Spring-Mass Structural Systems Using Novel fuzzy-Affine Approach

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Computer Modeling in Engineering & Sciences 2019年第12期121卷 947-980页

作者： S.Rout S.Chakraverty Department of Mathematics National Institute of Technology RourkelaOdishaIndia

The dynamic analysis of damped structural system by using finite element method leads to nonlinear eigenvalue problem(NEP)(particularly,quadratic eigenvalue problem).In general,the parameters of NEP are considered as exact *** in actual practice because of different errors and incomplete information,the parameters may have uncertain or vague values and such uncertain values may be considered in terms of fuzzy *** article proposes an efficient fuzzy-affine approach to solve fully fuzzy nonlinear eigenvalue problems(FNEPs)where involved parameters are fuzzy numbers *** and *** on the parametric form,fuzzy numbers have been transformed into family of standard *** due to the presence of interval overestimation problem in standard interval arithmetic,affine arithmetic based approach has been *** the proposed method,the FNEP has been linearized into a generalized eigenvalue problem and further solved by using the fuzzy-affine *** application problems of structures and also general NEPs with fuzzy parameters are investigated based on the proposed ***,fuzzy eigenvalue bounds are illustrated with fuzzy plots with respect to its membership *** comparisons are also demonstrated to show the reliability and efficacy of the present approach.

关键词： fuzzy nonlinear eigenvalue problem fuzzy set theory affine arithmetic interval overestimation problem triangular fuzzy number trapezoidal fuzzy number fuzzy-affine approach