Fuzzy Goal Programming Approach to Multiobjective Linear Plus Linear Fractional Programming Problem

机译：多目标线性加线性分式规划问题的模糊目标规划方法

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This paper presents a fuzzy goal programming (GP) procedure for solving a multiobjective linear plus linear fractional programming problem. In the proposed approach GP model for achievement of the highest membership value of each of fuzzy goal defined for the linear plus linear fractional objectives is formulated. In the solution process, the method of variable change on the under- and over- deviational variables of the membership goals associated with the fuzzy goals of the model is introduced to solve the problem efficiently by using goal programming(GP) methodology and method of approximation(MAP). A numerical examples is given to illustrate this algorithm. The examples is solved by optimization software TORA@ 2.0 version, 2006.

机译：本文提出了一种用于解决多目标线性加线性分数规划问题的模糊目标规划（GP）过程。在提出的方法中，为实现线性和线性分数目标定义的每个模糊目标的最高隶属度，制定了GP模型。在求解过程中，引入了与模型的模糊目标相关的隶属度目标的过偏差和过偏差变量的变量变化方法，以使用目标规划（GP）方法和近似方法有效地解决问题。（地图）。数值例子说明了该算法。通过优化软件TORA @ 2.0版本（2006年）解决了这些示例。

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来源
《Applications of mathematics and computer engineering》|2011年|p.29-35|共7页
会议地点 Puerto Morelos(MX);Puerto Morelos(MX);Puerto Morelos(MX);Puerto Morelos(MX)
作者
PITAM SINGH; SHIV DATT KUMAR; R. K. SINGH;
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作者单位

Department of Mathematics Motilal Nehru National Institute of Technology Allahabad-211004 INDIA;

Department of Mathematics Motilal Nehru National Institute of Technology Allahabad-211004 INDIA;

Department of Electrical Engineering Motilal Nehru National Institute of Technology Allahabad-211004 INDIA;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
multiobjective programming; fractional programming; fuzzy multiobjective linear fractional programming; goal programming; fuzzy goal programming;

机译：多目标程序设计；分式编程；模糊多目标线性分数规划；目标规划；模糊目标规划;

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1. Fuzzy Goal Programming Procedure to Bilevel Multiobjective Linear Fractional Programming Problems [J] . Mahmoud A. Abo-Sinna, Ibrahim A. Baky International journal of mathematics and mathematical sciences . 2010,第2期

机译：双层多目标线性分式规划问题的模糊目标规划方法。
2. A goal programming procedure for fuzzy multiobjective linear fractional programming problem [J] . B.B. Pal, B.N. Moitra, U. Maulik Fuzzy sets and systems . 2003,第2期

机译：模糊多目标线性分数规划问题的目标规划过程
3. A linear Goal Programming approach to multiobjective fractional programming with interval parameter sets [J] . Bijay Baran Pal, Bhola Nath Moitra, Shyamal Sen International journal of mathematics in operational research . 2011,第6期

机译：具有区间参数集的多目标分数规划的线性目标规划方法
4. Fuzzy Goal Programming Approach to Multiobjective Linear Plus Linear Fractional Programming Problem [C] . PITAM SINGH, SHIV DATT KUMAR, R. K. SINGH American Conference on Applied Mathematics . 2011

机译：模糊目标规划方法对多目标线性加线性分数规划问题
5. INTERACTIVE DECISION MAKING FOR MULTIOBJECTIVE LINEAR AIND NONLINEAR PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS [D] . 矢野, 均 1988

机译：带有模糊参数的多目标线性规划非线性规划的交互式决策
6. A Fuzzy Goal Programming Approach to Fully Fuzzy Linear Regression [O] . Boris Pérez-Cañedo, Alejandro Rosete, José Luis Verdegay, -1

机译：完全模糊线性回归的模糊目标规划方法
7. On fuzzy goal programming procedure to bi-level multiobjective linear fractional programming problems [O] . Kailash C. Lachhwani 2017

机译：在模糊目标规划过程中对双层多目标线性分数规划问题的影响

Fuzzy Goal Programming Approach to Multiobjective Linear Plus Linear Fractional Programming Problem

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