Multi-Objective Optimization Design of Steel Frames Based on Multiple Attribute Decision-Making Method

2013 ◽  
Vol 368-370 ◽  
pp. 830-837
Author(s):  
Mao Qiao Cui ◽  
Hai Yan Huang ◽  
Fu Lai Wang ◽  
Yong Qiu

This paper describes in detail a multi-objective optimization strategy and decision-making method in the process of steel frame optimization design. A step-by-step analysis process integrating optimization algorithm and model analysis is proposed to solve the present problem. A multi-objective algorithm method using fast Non-dominated Sorting Genetic Algorithm is employed to obtain the Pareto-optimal solution set through an evolutionary optimization process. A high-level multiple attribute decision-making method based on intuitionistic fuzzy set theory is adopted to rank these solutions from the best to worst, and to determine the best solution. An example is used to demonstrate the proposed optimization model and decision-making method.

2013 ◽  
Vol 333-335 ◽  
pp. 2197-2201
Author(s):  
Mei Li Wang ◽  
Long Long Li ◽  
Dong Jian He

Practical decision making, such as fuzzy multiple attribute decision making, involves many uncertainties with respect to all elements of the basic decision making model. Soft-computing approaches such as fuzzy inference and theories of fuzzy mathematics have been widely developed to achieve practical decision making. This paper proposes to select a representative scheme among a large set of available options by applying fuzzy extremum analysis. According to the objective function, the method standardizes an input vector through the intuitionistic fuzzy set, from which we construct the conversion relationship tables and finally calculate the optimal solution by fuzzy membership functions. The proposed method has been tested on teaching evaluation of Shaanxi Polytechnic Institute.


2015 ◽  
Vol 24 (1) ◽  
pp. 23-36 ◽  
Author(s):  
Jun Ye

AbstractOn the basis of the combination of single-valued neutrosophic sets and hesitant fuzzy sets, this article proposes a single-valued neutrosophic hesitant fuzzy set (SVNHFS) as a further generalization of the concepts of fuzzy set, intuitionistic fuzzy set, single-valued neutrosophic set, hesitant fuzzy set, and dual hesitant fuzzy set. Then, we introduce the basic operational relations and cosine measure function of SVNHFSs. Also, we develop a single-valued neutrosophic hesitant fuzzy weighted averaging (SVNHFWA) operator and a single-valued neutrosophic hesitant fuzzy weighted geometric (SVNHFWG) operator and investigate their properties. Furthermore, a multiple-attribute decision-making method is established on the basis of the SVNHFWA and SVNHFWG operators and the cosine measure under a single-valued neutrosophic hesitant fuzzy environment. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach.


Energies ◽  
2020 ◽  
Vol 13 (17) ◽  
pp. 4391
Author(s):  
Zhiyong Li ◽  
Shiping Pu ◽  
Yougen Chen ◽  
Renyong Wei

Setting reasonable circuit parameters is an important way to improve the quality of inverters, including waveform quality and power loss. In this paper, a circuit system of line voltage cascaded quasi-Z-source inverter (LVC-qZSI) is built. On this basis, the double frequency voltage ripple ratio and power loss ratio are selected as optimization targets to establish a multi-objective optimization model of LVC-qZSI parameters. To simplify the calculation, an integration optimization strategy of LVC-qZSI parameters based on GRA-FA is proposed. Where, the grey relation analysis (GRA) is used to simplify the multi-objective optimization model. In GRA, the main influence factors are selected as optimization variables by considering the preference coefficient. Then, firefly algorithm (FA) is used to obtain the optimal solution of the multi-objective optimization model. In FA, the weights of objective functions are assigned based on the principle of information entropy. The analysis results are verified by simulation. Research results indicate that the optimization strategy can effectively reduce the double frequency voltage ripple ratio and power loss ratio. Therefore, the strategy proposed in this paper has a superior ability to optimize the parameters of LVC-qZSI, which is of great significance to the initial values setting.


2019 ◽  
Vol 892 ◽  
pp. 88-93
Author(s):  
Muhamad Muslihudin ◽  
Rita Irviani ◽  
Prayugo Khoir ◽  
Andino Maseleno ◽  
K. Shankar ◽  
...  

Economics is the first supply for the survival of a country, especially in the development, development and progress. The more developed a country is the better economic growth. Indonesia including the user databases on the economy, especially in the banking sector and the government. Government as the manager of the country's economy in order to make extra efforts of the people and citizens can get considerable economic assistance through various operations conducted by the government such as the division of poor rice and BPJS card. BPJS stands for Badan Penyelenggara Jaminan Sosial (Social Insurance Administration Organization). By doing classifying economic levels using Fuzzy Multiple Attribute Decision Making (FMADM) methods (Simple Additive Weighting) meant that applications created can be used as a tool to suppress errors and improve accuracy by minimizing the possibility of such a wrong target or targets. The application uses the input in the form of data that has a high level of security to be forged such as: proof of payment of electricity bills, vehicle tax, and property tax. Data from the family card to input the number of people staying. The results are sorted according emerged from the lowest to the highest. The calculations were already system and by calculation that has been designed is expected to work as expected.


Author(s):  
Lin Qun ◽  
Wu Meijuan

Abstract A mathematical model for multi objective optimization design of belt transmission is proposed in this paper. The normal fuzzy distribution is used to convert the ideal and non-inferior solutions into fuzzy subsets over the space of objective function values. The optimal solution which is closest to the ideal one could then be found on the basis of closeness degree method.


Author(s):  
JONATHAN LAWRY ◽  
HONGMEI HE

We propose label semantics as an integrated representation framework for probabilistic uncertainty and fuzziness in multiple-attribute decision making problems. Linguistic attribute hierarchies are then introduced as a means of modelling the complex and often imprecise functional relationships between low-level attributes or measurements and high-level decision or classification variables. Within this framework we introduce linguistic decision trees as a tool for information aggregation in multi-attribute decision problems and describe the process of information propagation through a hierarchy of linked decision trees. In addition, we consider the ranking of different alternatives or examples based on their linguistic descriptions of a high-level utility variable. Finally, we discuss how linguistic decision trees embedded in attribute hierarchies can be learnt from data.


2011 ◽  
Vol 199-200 ◽  
pp. 1180-1184
Author(s):  
Han Zhang ◽  
Xiao Qin Shen ◽  
Fu Sheng Yu ◽  
Jian Hua Liu

Various elements in planetary gear reducer design are discussed. A multi-objective optimization model is created. The model requires the minimum volume and the maximum contact ratio. The method of multiplication and division is used to solve the multi-objective problem, and the method of feasibility enumeration is used to handle the discrete variables. The results show that the optimal solution meets the actual requirements.


2011 ◽  
Vol 213 ◽  
pp. 231-235
Author(s):  
Qin Man Fan ◽  
Qin Man Fan

Being the ability of global optimization, MOPSO algorithm have some virtue such as high calculate velocity, good solution quality, great robustness, and so on. In allusion to a leaf spring of few piece variable cross-section, its multi-objective optimization mathematical model was built regarding minimum mass and minimum stiffness deviation as sub-objective functions. Taking the leaf spring of front suspension of a light truck as an example, the Pareto optimal solution set of optimization problem was obtained by using MOPSO algorithm. The optimization results show that the mass of the leaf spring reduced by 24.2% and the stiffness deviation is only 0.32% after optimization by using MOPSO algorithm.


Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 191
Author(s):  
Wang ◽  
Li ◽  
Zhang ◽  
Han

Multiple attribute decision making (MADM) is full of uncertainty and vagueness due to intrinsic complexity, limited experience and individual cognition. Representative decision theories include fuzzy set (FS), intuitionistic fuzzy set (IFS), hesitant fuzzy set (HFS), dual hesitant fuzzy set (DHFS) and so on. Compared with IFS and HFS, DHFS has more advantages in dealing with uncertainties in real MADM problems and possesses good symmetry. The membership degrees and non-membership degrees in DHFS are simultaneously permitted to represent decision makers’ preferences by a given set having diverse possibilities. In this paper, new distance measures for dual hesitant fuzzy sets (DHFSs) are developed in terms of the mean, variance and number of elements in the dual hesitant fuzzy elements (DHFEs), which overcomes some deficiencies of the existing distance measures for DHFSs. The proposed distance measures are effectively applicable to solve MADM problems where the attribute weights are completely unknown. With the help of the new distance measures, the attribute weights are objectively determined, and the closeness coefficients of each alternative can be objectively obtained to generate optimal solution. Finally, an evaluation problem of airline service quality is conducted by using the distance-based MADM method to demonstrate its validity and applicability.


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