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A bipolar approach in fuzzy multi-objective linear programming

fuzzy SETS AND SYSTEMS 2014年第Jul.1期246卷 127-141页

作者： Dubey, Dipti Mehra, Aparna Indian Inst Technol Dept Math Hauz Khas New Delhi 110016 India

The traditional frameworks for fuzzy linear optimization problems are inspired by the max-min model proposed by Zimmermann using the Bellman-Zadeh extension principle to aggregate all the fuzzy sets representing flexible (fuzzy) constraints and objective functions together. In this paper, we propose an alternative approach to model fuzzy multi-objective linear programming problems (FMOLPPs) from a perspective of bipolar view in preference modeling. Bipolarity allows us to distinguish between the negative and the positive preferences. Negative preferences denote what is unacceptable while positive preferences are less restrictive and express what is desirable. This framework facilitate a natural fusion of bipolarity in FMOLPPs. The flexible constraints in a fuzzy multi-objective linear programming problem (FMOLPP) are viewed as negative preferences for describing what is somewhat tolerable while the objective functions of the problem are viewed as positive preferences for depicting satisfaction to what is desirable. This approach enables us to handle fuzzy sets representing constraints and objective functions separately and combine them in distinct ways. After aggregating these fuzzy sets separately, coherence (or consistency) condition is used to define the fuzzy decision set. (c) 2013 Elsevier B.V. All rights reserved.

关键词： fuzzy mathematical programming fuzzy multi-objective linear programming Bipolarity Coherence condition Aggregation operator OWA operator

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The use of a fuzzy multi-objective linear programming for solving a multi-objective single-machine scheduling problem

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APPLIED SOFT COMPUTING 2010年第3期10卷 919-925页

作者： Tavakkoli-Moghaddam, Reza Javadi, Babak Jolai, Fariborz Ghodratnama, Ali Univ Tehran Coll Engn Dept Ind Engn Tehran Iran

This paper develops a fuzzy multi-objective linear programming (FMOLP) model for solving a multi-objective single-machine scheduling problem. The proposed model attempts to minimize the total weighted tardiness and makespan simultaneously. In this problem, a proposed FMOLP method is applied with respect to the overall acceptable degree of the decision maker (DM) satisfaction. A number of numerical examples are solved to show the effectiveness of the proposed approach. The related results are compared with the Wang and Liang's approach. These computational results show that the proposed FMOLP model achieves lower objective functions and higher satisfaction degrees. (C) 2009 Elsevier B. V. All rights reserved.

关键词： Single-machine scheduling multi-objective linear programming fuzzy multi-objective linear programming Decision maker

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Application of fuzzy multi-objective linear programming Model in a multi-Period multi-Product Production Planning Problem

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INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 2011年第2期4卷 228-243页

作者： Taghizadeh, Kaveh Bagherpour, Morteza Mahdavi, Iraj Mazandaran Univ Sci & Technol Dept Ind Engn Babol Sar Iran Iran Univ Sci & Technol Dept Ind Engn Tehran Iran

The multi-Period multi-Product (MPMP) production planning, as a well known problem in literature, attempts to match production rates of individual products with fluctuated market demand over planning horizon. This study, demonstrates how the conventional MPMP linear programming (LP) model may fail to utilize available capacity of machines, and also a novel multi objective linear programming (MOLP) model is developed to simultaneously minimize net present value of production costs and maximize machine utilization. The proposed model consists of production constraints such as available labor, inventory, maximum subcontracting levels and also forecasted demands. The proposed MOLP model is further converted to a fuzzy multi objective linear programming (FMOLP) model utilizing piecewise linear membership functions. The model, accommodates the Decision Maker (DM) with a more systematic decision making approach enabling the DM to adjust the search direction during the solving procedure to achieve the most satisfactory result.

关键词： multi-Period multi-Product production planning Aggregate production planning fuzzy multi-objective linear programming Piecewise linear membership functions Mixed Integer linear programming

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Application of fuzzy multi-objective linear programming to aggregate production planning

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COMPUTERS & INDUSTRIAL ENGINEERING 2004年第1期46卷 17-41页

作者： Wang, RC Liang, TF Natl Taiwan Univ Sci & Technol Dept Ind Management Taipei 104 Taiwan

This study develops a fuzzy multi-objective linear programming (FMOLP) model for solving the multi-product aggregate production planning (APP) decision problem in a fuzzy environment. The proposed model attempts to minimize total production costs, carrying and backordering costs and rates of changes in labor levels considering inventory level, labor levels, capacity, warehouse space and the time value of money. A numerical example demonstrates the feasibility of applying the proposed model to APP problem. Its advantages are also discussed. The proposed model yields a compromise solution and the decision maker's overall levels of satisfaction. In particular, in contrast to other APP models, several significant characteristics of the proposed model are presented. (C) 2003 Elsevier Ltd. All rights reserved.

关键词： aggregate production planning multi-objective linear programming fuzzy multi-objective linear programming decision maker

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Supplier selection using fuzzy AHP and fuzzy multi-objective linear programming for developing low carbon supply chain

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EXPERT SYSTEMS WITH APPLICATIONS 2012年第9期39卷 8182-8192页

作者： Shaw, Krishnendu Shankar, Ravi Yadav, Surendra S. Thakur, Lakshman S. Indian Inst Technol Dept Management Studies New Delhi 110016 India Univ Connecticut Operat & Informat Management Dept Sch Business Storrs CT 06269 USA

Environmental sustainability of a supply chain depends on the purchasing strategy of the supply chain members. Most of the earlier models have focused on cost, quality, lead time, etc. issues but not given enough importance to carbon emission for supplier evaluation. Recently, there is a growing pressure on supply chain members for reducing the carbon emission of their supply chain. This study presents an integrated approach for selecting the appropriate supplier in the supply chain, addressing the carbon emission issue, using fuzzy-AHP and fuzzy multi-objective linear programming. fuzzy AHP (FAHP) is applied first for analyzing the weights of the multiple factors. The considered factors are cost, quality rejection percentage, late delivery percentage, green house gas emission and demand. These weights of the multiple factors are used in fuzzy multi-objective linear programming for supplier selection and quota allocation. An illustration with a data set from a realistic situation is presented to demonstrate the effectiveness of the proposed model. The proposed approach can handle realistic situation when there is information vagueness related to inputs. (c) 2012 Elsevier Ltd. All rights reserved.

关键词： Supplier selection fuzzy multi-objective linear programming fuzzy AHP Carbon emission Green house gas Textile supply chain

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Solving fuzzy multi-objective linear programming problems using deviation degree measures and weighted max-min method

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APPLIED MATHEMATICAL MODELLING 2013年第10-11期37卷 6855-6869页

作者： Cheng, Haifang Huang, Weilai Zhou, Quan Cai, Jianhu Huazhong Univ Sci & Technol Sch Management Wuhan 430074 Peoples R China Univ Auckland Informat Syst & Operat Management Business Sch Auckland 1001 New Zealand Zhejiang Univ Technol Coll Econ & Management Hangzhou 310023 Zhejiang Peoples R China

This paper proposes a method for solving fuzzy multi-objective linear programming (FMOLP) problems where all the coefficients are triangular fuzzy numbers and all the constraints are fuzzy equality or inequality. Using the deviation degree measures and weighted max-min method, the FMOLP problem is transformed into crisp linear programming (CLP) problem. If decision makers fix the values of deviation degrees of two side fuzzy numbers in each constraint, then the delta-pareto-optimal solution of the FMOLP problems can be obtained by solving the CLP problem. The bigger the values of the deviation degrees are, the better the objectives function values will be. So we also propose an algorithm to find a balance-pareto-optimal solution between two goals in conflict: to improve the objectives function values and to decrease the values of the deviation degrees. Finally, to illustrate our method, we solve a numerical example. (C) 2013 Elsevier Inc. All rights reserved.

关键词： fuzzy multi-objective linear programming fuzzy constraints Triangular fuzzy numbers Deviation degree Weighted max-min method

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No-wait flow shop scheduling using fuzzy multi-objective linear programming

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JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 2008年第5期345卷 452-467页

作者： Javadi, Babak Saidi-Mehrabad, M. Haji, Alireza Mahdavi, Iraj Jolai, F. Mahdavi-Amiri, N. Mazandaran Univ Sci & Technol Dept Ind Engn Babol Sar Iran Iran Univ Sci & Technol Dept Ind Engn Tehran Iran Sharif Univ Technol Dept Ind Engn Tehran Iran Univ Tehran Dept Ind Engn Fac Engn Tehran Iran Sharif Univ Technol Dept Math Sci Tehran Iran

This study develops a fuzzy multi-objective linear programming (FMOLP) model for solving the multi-objective no-wait flow shop scheduling problem in a fuzzy environment. The proposed model attempts to simultaneously minimize the weighted mean completion time and the weighted mean earliness. A numerical example demonstrates the feasibility of applying the proposed model to no-wait flow shop scheduling problem. The proposed model yields a compromised solution and the decision maker's overall levels of satisfaction. (C) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

关键词： no-wait flow shop scheduling multi-objective linear programming fuzzy multi-objective linear programming decision maker

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A fuzzy multi-objective linear programming model for solving remanufacturing planning problems with multiple products and joint components

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COMPUTERS & INDUSTRIAL ENGINEERING 2017年 110卷 242-254页

作者： Su, Tai-Sheng Natl Pingtung Univ Sci & Technol Dept Ind Management 1 Hsueh Fu Rd Pingtung 912 Taiwan

Remanufacturing planning issues involve extremely complex strategic decisions within the supply chain system, especially considering the multiple products and joint components that are involved. It is very important to know how to determine the appropriate amounts of procurement quantity and lot size. In actual lot-sizing production-to-order problems for recoverable remanufacturing systems, input data or parameters are often imprecise or fuzzy. This work develops a fuzzy multi-objective linear programming (FMOLP) model that simultaneously minimizes total costs, lead time and CO2 emissions with reference to multiple products and joint components. The proposed model evaluates cost-effectiveness, lead time and CO2 emissions, while integrating multi-products, multi-suppliers, multi-components, joint components and multi-machines into one remanufacturing production system. The analytical results presented in this work are able to assist decision-making managers to better understand systematic analyses, and the potential for cost-effectiveness, lead time and CO2 emissions in recoverable remanufacturing planning. (C) 2017 Elsevier Ltd. All rights reserved.

关键词： Remanufacturing multiple products Joint components fuzzy multi-objective linear programming CO2 emissions

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Applying fuzzy multi-objective linear programming to project management decisions with the interactive two-phase method

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COMPUTERS & INDUSTRIAL ENGINEERING 2013年第4期66卷 1061-1069页

作者： Yang, Ming-Feng Lin, Yi Natl Taiwan Ocean Univ Dept Transportat Sci Keelung 20224 Taiwan Natl Taipei Univ Technol Coll Management Taipei 10643 Taiwan

The aim of this paper is to develop an interactive two-phase method that can help the Project Manager (PM) with solving the fuzzy multi-objective decision problems. Therefore, in this paper, we first revisit the related papers and focus on how to develop an interactive two-phase method. Next, we establish to consider the imprecise nature of the data by fulfilling the possibilistic programming model, and we also assume that each objective work has a fuzzy goal. Finally, for reaching our objective, the detailed numerical example is presented to illustrate the feasibility of applying the proposed approach to PM decision problems at the end of this paper. Results show that our model can be applied as an effective tool. Furthermore, we believe that this approach can be applied to solve other multi-objective decision making problems. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Project management Possibilistic programming approach Two-phase approach fuzzy multi-objective linear programming

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An Application of fuzzy multi-objective linear programming for Components Design of Games or Animated Characters 1

An Application of Fuzzy Multi-Objective Linear Programming f...

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1st International Conference on Computational Intelligence Theory, Systems and Applications (CCITSA)

作者： Tzang, Yih-Jou Chang, Hong-Yi Tzang, Chih-Hsuan Chi, Ting-Yun Huang, Chun-Yen De Lin Inst Technol Dept Comp Sci & Informat Engn New Taipei Taiwan Natl Chiayi Univ Dept Management Informat Syst Chiayi Taiwan Natl Taiwan Normal Univ Dept Comp Sci Taipei Taiwan Natl Taiwan Univ Coll Elect Engn & Comp Sci Taipei Taiwan MoRemote Inc Res Ctr Taipei Taiwan

ISBN: (纸本)9781467386005

The idea of this research is a novel application based on the fuzzy multi-objective linear programming model. We focus on the component design of a game or an animated character to discuss about the highest match, the least of components and software tools used. When people create a game or an animated character, they can apply the approach to combine the existed components with a new character quickly. The work is more efficient to make components of games or animated characters, and also it saves the costs of development.

关键词： fuzzy multi-objective linear programming mutiple objective design component games or animated characters

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