The purpose of this paper is to propose a procedure for solving multilevel programming problems in a large hierarchical decentralized organization through linear fuzzy goal programming approach. Here, the tolerance me...
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The purpose of this paper is to propose a procedure for solving multilevel programming problems in a large hierarchical decentralized organization through linear fuzzy goal programming approach. Here, the tolerance membership functions for the fuzzily described objectives of all levels as well as the control vectors of the higher level decision makers are defined by determining individual optimal solution of each of the level decision makers. Since the objectives are potentially conflicting in nature, a possible relaxation of the higher level decision is considered for avoiding decision deadlock. Then fuzzy goal programming approach is used for achieving highest degree of each of the membership goals by minimizing negative deviational variables. Sensitivity analysis with variation of tolerance values on decision vectors is performed to present how the solution is sensitive to the change of tolerance values. The efficiency of our concept is ascertained by comparing results with other fuzzy programming approaches. (c) 2005 Elsevier B.V. All rights reserved.
Energy consumption increases due to technological developments, urbanization, industrialization and population. The fact that the constantly increasing energy demand is not exactly known is an important issue for coun...
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Energy consumption increases due to technological developments, urbanization, industrialization and population. The fact that the constantly increasing energy demand is not exactly known is an important issue for countries. In addition, due to changing climate conditions, the amount of emission emitted and energy produced from energy sources are also not quite known. Therefore, determining the energy demand, protecting the environment, and minimizing the energy cost by using resources effectively has become one of the most important problems of countries. In this context, the present study developed a fuzzy optimal renewable energy model (F-OREM) to solve the energy problem involving fuzzy parameters. fuzzy linear programming (FLP) models provide the best decision by producing faster and more flexible solutions compared to classical linear programming (CLP) models in situations where there are uncertainties and a lack of information. The purpose of the developed model was to minimize the cost of generating electrical energy from different energy sources in an uncertain environment under potential, demand, emission and efficiency constraints. The developed F-OREM was operated using CPLEX decoder in the GAMS 24.2.3 package program and using the particle swarm optimization (PSO) for proportional to different values between 0-1. The results showed that the results of the metaheuristic method and the results of the GAMS package program were the same, and the results were consistent. According to the results obtained, the emission level at which the objective function was minimum (when proportional to = 1) was at the lowest level. In this case, the total emitted amount was 1,06125E+14 g-CO2/kWh. In this context, the developed model can be applied using metaheuristic or heuristic methods for larger test cases with thousands of variables. This study contributed to the practicality of FLP by offering decision-makers a wider solution area than the CLP approach.
In this study, a generalized fuzzy linear programming (GFLP) method is developed to identify optimal waste-flow-allocation schemes under uncertainty. A stepwise interactive algorithm (SIA) is advanced to solve the GFL...
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In this study, a generalized fuzzy linear programming (GFLP) method is developed to identify optimal waste-flow-allocation schemes under uncertainty. A stepwise interactive algorithm (SIA) is advanced to solve the GFLP model and generate solutions expressed as fuzzy sets. This solution method can handle fuzzy sets with known membership functions, regardless of the shapes of these functions. Moreover, solutions expressed as fuzzy sets can also be obtained through SIA. The developed method is applied to a case study of waste allocation planning problem under uncertainty. The results indicate that reasonable solutions can be obtained for planning waste allocation practices. Compared with interval solutions derived from interval linear programming method, the fuzzy solutions obtained through GFLP can provide more information. Therefore, the decision-makers can make tradeoffs between system stability and plausibility and thus identify desired policies for solid waste planning under uncertainty.
Many practical engineering optimization problems involve discrete or integer design variables, and often the design decisions are to be made in a fuzzy environment in which the statements might be vague or imprecise. ...
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Many practical engineering optimization problems involve discrete or integer design variables, and often the design decisions are to be made in a fuzzy environment in which the statements might be vague or imprecise. A mixed-discrete fuzzy nonlinear programming approach that combines the fuzzy lambda-formulation with a hybrid genetic algorithm is proposed in this paper. This method can find a globally compromise solution for a mixed-discrete fuzzy optimization problem, even when the objective function is nonconvex and nondifferentiable. In the construction of the objective membership function, an error from the early research work is corrected and the right conclusion has been made. The illustrative examples demonstrate that more reliable and satisfactory results can be obtained through the present method. (C) 2003 Elsevier B.V. All rights reserved.
In this study, an interval-valued fuzzy linear programming with infinite alpha-cuts (IVFLP-I) method is developed for municipal solid waste (MSW) management under uncertainty. IVFLP-I can not only tackle uncertainties...
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In this study, an interval-valued fuzzy linear programming with infinite alpha-cuts (IVFLP-I) method is developed for municipal solid waste (MSW) management under uncertainty. IVFLP-I can not only tackle uncertainties expressed as intervals and interval-valued fuzzy sets, but also take all fuzzy information into account by discretizing infinite alpha-cut levels to the interval-valued fuzzy membership functions. Through adoption of the interval-valued fuzzy sets, IVFLP-I can directly communicate information of waste managers' confidence levels over various subjective judgments into the optimization process. Compared to the existing methods in which only finite alpha-cut levels exist, IVFLP-I would have enhanced the robustness in the optimization efforts. A MSW management problem is studied to illustrate the applicability of the proposed method. Four groups of optimal solutions can be obtained through assigning different intervals of alpha-cut levels. The results indicate that wider intervals of alpha-cut levels could lead to a lower risk level of constraint violation associated with a higher system cost;contrarily, narrower intervals of alpha-cut levels could lead to a lower cost with a higher risk of violating the constraints. The solutions under different intervals of alpha-cut levels can support in-depth analyses of tradeoffs between system costs and constraint-violation risks.
fuzzy programming, a well-known optimization problem in resource allocation and optimization decision etc, has become the hot research in academic circles and many application fields. In this paper, for the numerical ...
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ISBN:
(纸本)9781424442843
fuzzy programming, a well-known optimization problem in resource allocation and optimization decision etc, has become the hot research in academic circles and many application fields. In this paper, for the numerical fuzzy programming, we propose centralized quantification strategy for processing fuzzy objective function, and further give the concept of synthesizing effect functions for the overall consideration of the objective and constraint;Combing with fuzzy inequity degree and genetic algorithm, we establish numerical fuzzy programming model (denoted by BSE (?) ID-FGM for short);Finally, we analyze the characteristic and effectiveness of this method through an example. All the results indicate that our method has better structural feature, and can effectively merge the decision preferences into the solution in quantification ways.
Uncertainty, complexity and paradigm shift are three challenges that are inherent in emerging technologies. Based on the scenario construction and empirical four foresight stages, Credibility theory and fuzzy programm...
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Uncertainty, complexity and paradigm shift are three challenges that are inherent in emerging technologies. Based on the scenario construction and empirical four foresight stages, Credibility theory and fuzzy programming are introduced to dissolve scenario planning problems. And then, a fuzzy model for scenario planning is proposed.
This paper considers the two-level linear fractional programming problem with fuzzy parameters, which includes the ambiguity of the human expert concerned with formulation of the problem, and proposes an interactive f...
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This paper considers the two-level linear fractional programming problem with fuzzy parameters, which includes the ambiguity of the human expert concerned with formulation of the problem, and proposes an interactive fuzzy programming procedure to cope with the problem. The proposed procedure is as follows. The fuzzy goal is specified for the objective function for the decision-maker at each level. The minimum tolerance for satisfaction is defined subjectively by the decision-maker at the upper level. The satisfaction ratio between the levels is considered, and the minimum tolerance of the decision-maker is modified interactively, if necessary. Then, the satisficing solution is efficiently derived, achieving the balance between the satisfactions at different levels, while emphasizing the intention of the decision-maker at the upper level. Lastly, the validity and the effectiveness of the proposed method are shown by numerical examples. (C) 2000 Scripta Technica, Electron Comm Jpn Pt 3, 83(10): 82-90, 2000.
Portfolio selection is a usual multiobjective problem. This paper will try to deal with the optimum portfolio for a private investor, taking into account three criteria: return, risk and liquidity. These objectives, i...
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Portfolio selection is a usual multiobjective problem. This paper will try to deal with the optimum portfolio for a private investor, taking into account three criteria: return, risk and liquidity. These objectives, in general, are not crisp from the point of view of the investor, so we will deal with them in fuzzy terms. The problem formulation is a goal programming (G.P.) one, where the goals and the constraints are fuzzy. We will apply a fuzzy G.P. approach to the above problem to obtain a solution. Then, we will offer the investor help in handling the results. (C) 2001 Elsevier Science B.V. All rights reserved.
This study developed a fuzzy-stochastic programming with Green Z-score criterion (FSGZ) method for water resources allocation and water quality management with a trading-mechanism (WAQT) under uncertainties. FSGZ can ...
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This study developed a fuzzy-stochastic programming with Green Z-score criterion (FSGZ) method for water resources allocation and water quality management with a trading-mechanism (WAQT) under uncertainties. FSGZ can handle uncertainties expressed as probability distributions, and it can also quantify objective/subjective fuzziness in the decision-making process. Risk-averse attitudes and robustness coefficient are joined to express the relationship between the expected target and outcome under various risk preferences of decision makers and systemic robustness. The developed method is applied to a real-world case of WAQT in the Kaidu-Kongque River Basin in northwest China, where an effective mechanism (e.g., market trading) to simultaneously confront severely diminished water availability and degraded water quality is required. Results of water transaction amounts, water allocation patterns, pollution mitigation schemes, and system benefits under various scenarios are analyzed, which indicate that a trading-mechanism is a more sustainable method to manage water-environment crisis in the study region. Additionally, consideration of anthropogenic (e.g., a risk-averse attitude) and systemic factors (e.g., the robustness coefficient) can support the generation of a robust plan associated with risk control for WAQT when uncertainty is present. These findings assist local policy and decision makers to gain insights into water-environment capacity planning to balance the basin's social and economic growth with protecting the region's ecosystems.
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