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2nd International Conference of Mathematical Modelling and Scientific Computation (ICMMSC 2012)

作者： Biswas, Animesh Bose, Koushik Univ Kalyani Dept Math Kalyani 741235 W Bengal India

ISBN: (纸本)9783642289255

This paper presents a fuzzy programming procedure to solve nonlinear fractional programming problems in which the parameters involved in objective function are considered as fuzzy numbers. At first a multiobjective fuzzy nonlinear programming model is constructed by considering the numerator and denominator part, individually, of the fractional objective. Then by using tolerance ranges of the fuzzy parameters, the problem is decomposed and each decomposed objectives is solved independently within the feasible region to find the upper and lower tolerance values of the fuzzy objective goals in the decision making environment. Finally a Taylor's series linear approximation technique is applied to linearize the membership goals and thereby obtaining most satisfactory decision in the decision making arena. A numerical example is solved and the solution is compared with existing approach to establish the efficiency of the proposed methodology.

关键词： Fractional programming Quadratic programming fuzzy programming Triangular fuzzy number fuzzy goal programming Taylor's series approximation

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A multi-objectivities fuzzy programming model in expressway planning

A multi-objectivities fuzzy programming model in expressway ...

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2nd International Conference on Intelligent Computation Technology and Automation

作者： Lu Huapu Yu Xinxin Li Yue Zhao Xiaoqiang Shi Ye Tsinghua Univ Inst Transportat Engn Beijing 100084 Peoples R China

ISBN: (纸本)9780769538044

This paper develops a fuzzy multi-objective programming model for solving the fuzzy multi-objective expressway planning problems. The proposed model aims to minimize the total system costs and the total construction cost with reference to fuzzy available OD. Then the goal programming was proposed. Finally, a numerical example is given to illustrate the ability of the proposed model to expressway system planning.

关键词： fuzzy programming membership function traffic assignment goal programming

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Multi-choice stochastic bi-level programming problem in cooperative nature via fuzzy programming approach

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Journal of Industrial Engineering International 2016年第3期12卷 287-298页

作者： Maiti, Sumit Kumar Roy, Sankar Kumar School of Applied Sciences and Humanities Haldia Institute of Technology Purba Midnapore Haldia 721 157 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

In this paper, a Multi-Choice Stochastic Bi-Level programming Problem (MCSBLPP) is considered where all the parameters of constraints are followed by normal distribution. The cost coefficients of the objective functions are multi-choice types. At first, all the probabilistic constraints are transformed into deterministic constraints using stochastic programming approach. Further, a general transformation technique with the help of binary variables is used to transform the multi-choice type cost coefficients of the objective functions of Decision Makers(DMs). Then the transformed problem is considered as a deterministic multi-choice bi-level programming problem. Finally, a numerical example is presented to illustrate the usefulness of the paper. © 2016, The Author(s).

关键词： Bi-level programming fuzzy programming Multi-choice programming Non-linear programming Stochastic programming

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The Expected Value of Imperfect Information to fuzzy programming

The Expected Value of Imperfect Information to Fuzzy Program...

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6th International Symposium on Neural Networks

作者： Zheng, Mingfa Wang, Guoli Kou, Guangxing Liu, Jia AF Engn Univ Dept Appl Math & Phys Xian 710051 Peoples R China Hebei Univ Coll Math & Comp Sci Baoding 071002 Peoples R China

ISBN: (纸本)9783642015090

The paper is concerned with Finding the expected value of imperfect information to two-stage fuzzy programming. In this paper we firstly present the definition which is the sum of pairs expected value, then obtain the definition of expected value of imperfect information based on the concept, and discuss its rationality. In addition, several numerical examples are also given to explain the definitions. The results obtained in this paper can be used to fuzzy optimization as we design algorithm to estimate the value of imperfect information.

关键词： fuzzy programming Expected value of perfect information Expected value of imperfect information

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Model Design for Transmission Congestion Management Based on fuzzy programming

Model Design for Transmission Congestion Management Based on...

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2nd International Workshop on Knowledge Discovery Data Mining

作者： Zhao, Yu Zhao, Bo Qi, Chunjie Huazhong Agr Univ Coll Econ & Management Wuhan Hubei Peoples R China Cent South Univ CSU Sch Mat Sci & Comp Changsha Peoples R China

ISBN: (纸本)9780769535432

Based on data collected previously on the electricity market of the East China, we use stepwise regression method to find the approximate expression of the active power flow of each power sets on East China's certain electrical network. Then classified discussion is carried out according to the difference of the capacity in and out of merit in order to obtain a simple and reasonable rule for calculating the block cost. Based on this, the objective programming model for output distribution of each unit is achieved. Exclude conditions step by step, and adjust the output allocation plan. Introduce flexible factors defining membership function to change fuzzy programming into non-fuzzy programming, and use genetic algorithm to get solution. The model considers both safety and cost so that different network operators can get their preferred allocation plan.

关键词： electrical network transmission congestion management fuzzy programming multiobjective optimization model design

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Quadratic fuzzy programming with recourse

Quadratic fuzzy programming with recourse

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5th International Conference on Machine Learning and Cybernetics

作者： Wang, Sheng-Hua Zhang, Qun-Feng North China Elect Power Univ Dept Appl Math Baoding 071003 Peoples R China Hebei Univ Coll Math & Comp Sci Baoding 071002 Peoples R China

ISBN: (纸本)1424400600

Based on credibility theory, this paper presents a new class of fuzzy programming-quadratic fuzzy programming with recourse problem. Some basic properties of the model are discussed. In order to solve the model, a heuristic solution method, which combines fuzzy simulations, neural network and tabu search algorithm, is designed. Finally, a numerical example is solved to show the effectiveness and the feasibility of the hybrid algorithm.

关键词： fuzzy programming quadratic fuzzy programming Tabu search algorithm fuzzy simulations

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Integer fuzzy programming approach in bi-objective selective maintenance allocation problem

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Journal of Mathematical Modelling and Algorithms 2014年第2期13卷 113-124页

作者： Ali, Irfan Hasan, S. Suhaib Department of Statistics and Operations Research Aligarh Muslim University Aligarh 202 002 U.P. India

An attempt has been made to obtain a compromise allocation based on maximization of individual reliabilities of repairable and replaceable components with in the subsystems, using the information of failed and operational components and a non linear cost function with fixed budget. A solution algorithm of fuzzy programming technique is used to solve the Bi-Objective SelectiveMaintenance Allocation Problem (BSMAP). Also, the problem has been solved by two other suggested methods;“Weighted Criterion Technique” and “Desirability Function Technique”. A numerical example is also presented to illustrate the computational details. © Springer Science+Business Media Dordrecht 2013.

关键词： Bi-objective optimization Compromise allocation Desirability function fuzzy programming Selective maintenance Weighted criterion

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A fuzzy programming approach for supply chain network design

A fuzzy programming approach for supply chain network design

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5th International Conference on Information and Management Sciences

作者： Ji, Xiaoyu Zhao, Xiande Zhou, Deming Renmin Univ China Sch Business Beijing 100872 Peoples R China Chinese Univ Hong Kong Dept Decis Sci & Managerial Econ Shatin Hong Kong Peoples R China

This paper presents a fuzzy programming method to design supply chain network, in which the customer demands and transportation costs are assumed to be fuzzy parameters. Existing researches on supply chain network design problem are either restricted on deterministic environment or only address stochastic parameters. In this paper, we consider this problem in fuzzy environment. Under different criteria, we format three types of models for the decision makers: expected cost optimization model, chance-constrained model and chance maximization model. A genetic algorithm based on fuzzy simulation is developed to solve the proposed fuzzy models. Moreover, some numerical examples are presented to illustrate the effectiveness of models and solution algorithm.

关键词： supply chain design fuzzy programming genetic algorithm fuzzy simulation

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Interactive fuzzy programming procedure for Trilevel Quadratic Fractional programming

Interactive Fuzzy Programming procedure for Trilevel Quadrat...

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International Conference on Computing and Communication Technologies for Smart Nation (IC3TSN)

作者： Kumar, Suchet Rakshit, Madhuchanda Guru Kashi Univ Dept Appl Sci Talwandi Sabo India

ISBN: (纸本)9781538606278

In this paper we proposed to study the Trilevel Quadratic Fractional programming Problem through Interactive fuzzy programming procedure. In this procedure, First of all the upper levels determine their fuzzy goals and they possess their preference in the form of constraints. Then, lower level optimizes its goals by considering the preference of upper levels and hence a satisfactory solution can be achieved by modifying the satisfactory degrees of the upper level decision makers until the overall satisfactory balance between all the levels of decision makers will not be attained. This procedure can be effectively used in determining the satisfactory optimum solution of required multilevel programming problem. To check the practicability of our proposed method, we are also yielding a numerical example of quadratic fractional programming problem with three levels.

关键词： Quadratic programming Interactive fuzzy programming Multilevel hierarchical optimization fuzzy programming

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A note on optimum allocation for multiobjective sample surveys using fuzzy programming

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Journal of Survey Statistics and Methodology 2016年第2期4卷 171-187页

作者： Swain, A.K.P.C. Utkal University Bhubaneswar India

In sample surveys using stratified random sampling, the determination of optimum strata sample sizes is a well-known design requirement. When only one variable is relevant, the determination of the sample sizes is simple. However, when more than one variable is relevant, the optimum allocation problem gets complicated because an allocation that is optimum for one may not be optimum for others. Thus, we require a procedure to obtain a compromise allocation that is optimum in some sense for all of the variables or objectives under consideration. In this context, the sampling theory literature contains alternative methods to arrive at a compromise allocation in the face of multiple objectives. In this paper, a procedure based on multiobjective decision making using the fuzzy programming technique is proposed when either the total sample size or total cost of the survey is fixed. Numerical illustrations are provided to compare the proposed compromise allocation with some existing ones for single-stage stratified random sampling, two-stage sampling, and two-phase sampling. It is observed that the proposed compromise allocation results in a higher degree of compromise among the multiple objectives. © The Author 2016. Published by Oxford University Press on behalf of the American Association for Public Opinion Research. All rights reserved.

关键词： Compromise allocation fuzzy programming Multiple objectives Optimum allocation Stratified random sampling

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