Computing efficient solutions to fuzzy multiple objective linear programming problems

Li, Xuequan; Zhang, Bo; Li, Hui

doi:10.1016/j.fss.2005.12.003

Cited by 112 publications

(57 citation statements)

References 9 publications

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“…Because of their ability in measuring and editing the satisfaction degree of each objective function, the mostly used approaches in this domain are fuzzy programming methods. Fuzzy programming approaches vary from preliminary approaches (see Lai & Hwang, 1993;Sakawa et al, 1987;Zimmermann, 1978) to more advanced methods (see Torabi & Hassini, 2008;Li et al, 2006). For solving proposed multi objective model we have applied -constraint method that it is one of the fuzzy solution method.…”

Section: The Solution Methodsmentioning

confidence: 99%

A new fuzzy mathematical model for green supply chain network design

Amalnick¹,

Saffar

2017

10.5267/j.ijiec

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The environmental changes caused by industrial activities have spurred a significant interest in designing supply chain networks by considering environmental issues such as CO2 emission. The pivotal role of taking uncertainty and risk into account in closed-loop supply chain networks has induced numerous researchers and practitioners to develop appropriate decision making tools to cope with these issues in such networks. To design a supply chain regarding environmental impacts under uncertainty of the input data and to cope with the operational risks, this paper proposes a multi objective possibilistic optimization model. The proposed model minimizes traditional costs such as cost of products shipment, purchasing machines and so on, as well as minimizing the environmental impact, and as a results strikes a balance between the two objective functions. Furthermore, in order to solve the proposed multi objective fuzzy mathematical programming model, an interactive fuzzy solution approach is applied. Numerical experiments are used to prove the applicability and feasibility of the developed possibilistic programming model and the usefulness of the applied hybrid solution approach.

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Section: The Solution Methodsmentioning

confidence: 99%

A new fuzzy mathematical model for green supply chain network design

Amalnick¹,

Saffar

2017

10.5267/j.ijiec

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“…Cr fṽ rg dr 0 Z 1 Cr fṽ rg dr: (22) We assume in this research thatṽ is a trapezoidal fuzzy number de ned by four constant points asṽ = (v (1) ; v (2) ; v (3) ; v (4) ). According to Expressions (23) and (24), the corresponding credibility measures and expected value ofṽ are computed as follows:…”

Section: The Proposed Credibility-based Fuzzy Chance Constrained Modelmentioning

confidence: 99%

Credibility-Based Fuzzy Mathematical Programming for Bi-Objective Capacitated Partial Facility Interdiction with Fortification and Demand Outsourcing Model

2017

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Abstract. The concepts of forti cation and partial interdiction have not been considered concurrently in previous studies. In this paper, we added the forti cation and partial interdiction concepts to interdiction problem for the rst time; the reason is that in interdiction situations, defenders decide to protect some important facilities according to their budgets, and attackers like to destroy most unprotected facilities according to their resources, and therefore, to cripple the defenders' systems. Moreover, we use the advantages of credibility-based fuzzy mathematical programming and introduce an integrated model based on uncertainty contexts. In this bi-objective model, decision-maker gives satisfaction degrees for constraints, and then we use the interactive possibility model to solve the bi-objective model with varying con dence levels. These con dence levels specify the knowledge of attacker and defender about themselves. In addition, we propose Genetic Algorithm (GA) to solve the suggested model. In the experiments, we generate problem instances and solve them by Multi-Objective Mixed-Integer Non-Linear Programming (MOMINLP) and the proposed genetic algorithm for various settings.

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“…This necessitate the solution obtained by maxmin approach needs to be improved. Moreover, the disadvantage of max-min operator (22) can be overcome for which the following modified form may be used.…”

Section: The Two-phase Approach For Molpmentioning

confidence: 99%

“…The successful attempts have been made to develop the Fuzzy Linear Programming (FLP) by Zimmermann ( [16,17]), Werners [18], Lee and Li [19] and, subsequently, Guu and Wu [20] and Wu and Guu [21] proposed a new method, in which the FLP has initially solved and later the efforts have been made to improve the optimal solution by enhancing the level of satisfaction (λ). Li and Li [22] have proposed the two-phase approach to compute the efficient solutions to fuzzy multiple objective linear programming problems.…”

Section: Introductionmentioning

confidence: 99%

Two-Phase Multi Objective Fuzzy Linear Programming Approach for Sustainable Irrigation Planning

Regulwar¹,

Gurav²

2013

JWARP

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The objective of the present study is to develop the irrigation planning model and to apply the same in the form of TwoPhase Multi Objective Fuzzy Linear Programming (TPMOFLP) approach for crop planning in command area of Jayakwadi Project Stage I, Maharashtra State, India. The development of TPMOFLP model is on the basis of various Linear Programming (LP) models and Multi Objective Fuzzy Linear Programming (MOFLP) models, these models have been applied for maximization of the Net Benefits (NB), Crop production (CP), Employment Generation (EG) and Manure Utilization (MU) respectively. The significant increase in the value of level of satisfaction (λ) has been found from 0.58 to 0.65 by using the TPMOFLP approach as compare to that of MOFLP model based on maxmin approach. The two-phase approach solution provides NB = 1503.56 Million Rupees, CP = 335729.30 Tons, EG = 29.74 Million Man days and MU = 160233.70 Tons respectively. The proposed model will be helpful for the Decision Maker (DM) to take a decision under conflicting situation while planning for different conflicting objectives simultaneously and has potential to find out an integrated irrigation planning with prime consideration for economic, social and environmental issue.

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Computing efficient solutions to fuzzy multiple objective linear programming problems

Cited by 112 publications

References 9 publications

A new fuzzy mathematical model for green supply chain network design

A new fuzzy mathematical model for green supply chain network design

Credibility-Based Fuzzy Mathematical Programming for Bi-Objective Capacitated Partial Facility Interdiction with Fortification and Demand Outsourcing Model

Two-Phase Multi Objective Fuzzy Linear Programming Approach for Sustainable Irrigation Planning

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