一种求解分散双层多目标线性分式规划问题的模糊目标规划方法

IF 0.5 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2019-07-01 DOI:10.17535/CRORR.2019.0007

Tunjo Perić, Z. Babic, Maid Omerović, Herzegovina

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引用次数: 3

摘要

提出了一种求解分散双层次多目标线性分式规划问题的新方法。主要目标是找到一种简单的算法，使决策者对结果有较高的置信度。首先，分别求解给定约束集合下的所有线性分式规划模型。然后，对所有的线性分式目标函数进行线性化，计算目标函数与最高决策层控制的决策变量的隶属函数，形成模糊多目标线性规划模型，并采用单纯形算法作为线性目标规划问题求解。通过一个经济算例验证了所提算法的有效性，并将所得结果与现有方法进行了比较。

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A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems

This paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of constraints were solved separately. Next, all the linear fractional objective functions were linearized, membership functions of objective functions and decision variables controlled by decision-makers at the highest level calculated, and a fuzzy multi-objective linear programming model formed and solved as linear goal programming problem by using simplex algorithm. The efficiency of the proposed algorithm was investigated using an economic example, and the obtained results compared with those obtained using an existing method.

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.