An Interactive Fuzzy Satisficing Method for Multiobjective Linear-Programming Problems and Its Application

Sakawa, Masatoshi; Yano, Hitoshi; Yumine, Toru

doi:10.1109/tsmc.1987.289356

Cited by 192 publications

(75 citation statements)

References 16 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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“…Min-max developed by Zimmermann (1978) is one of the first fuzzy approaches used for solving multi-objective optimization problems; however, this approach sometimes produces inefficient solutions (Lai and Hwang 1993). To solve this problem, Sakawa et al (1987) developed a fuzzy interactive approach. In addition to this approach, Lai and Hwang (1993) suggested the augmented min-max approach.…”

Section: Y Jlmentioning

confidence: 99%

The development of a green supply chain dual-objective facility by considering different levels of uncertainty

Khorasani

Almasifard

2017

J Ind Eng Int

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This paper presents a dual-objective facility programming model for a green supply chain network. The main objectives of the presented model are minimizing overall expenditure and negative environmental impacts of the supply chain. This study contributes to the existing literature by incorporating uncertainty in customer demand, suppliers, production, and casting capacity. An industrial case study is also analyzed to reveal the feasibility of the proposed model and its application. A fuzzy approach which is known as TH is used to solve the suggested dualobjective model. TH approach is integration of a max-min method (LH) and modified version of Werners' approach (MW). The outcome of this study reveals that the presented model can support green supply chain network in different levels of uncertainty. In presented model, cost and negative environmental impacts derived from the supply chain network will increase of higher levels of uncertainty.

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“…The best compromise solution will be determined from the obtained non-dominated optimal solution. In this paper, the best compromise solution from the Pareto-optimal front is found using fuzzy satisfying method [18]. The fuzzy goal is represented in linear membership function as follows:…”

Section: Best Compromise Solution By Fuzzy-based Mechanismmentioning

confidence: 99%

Multi-Objective Short-Term Fixed Head Hydrothermal Scheduling Using Augmented Lagrange Hopfield Network

Nguyen¹,

Vo²

2014

Journal of Electrical Engineering and Technology

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-This paper proposes an augmented Lagrange Hopfield network (ALHN) based method for solving multi-objective short term fixed head hydrothermal scheduling problem. The main objective of the problem is to minimize both total power generation cost and emissions of NO x , SO 2 , and CO 2 over a scheduling period of one day while satisfying power balance, hydraulic, and generator operating limits constraints. The ALHN method is a combination of augmented Lagrange relaxation and continuous Hopfield neural network where the augmented Lagrange function is directly used as the energy function of the network. For implementation of the ALHN based method for solving the problem, ALHN is implemented for obtaining non-dominated solutions and fuzzy set theory is applied for obtaining the best compromise solution. The proposed method has been tested on different systems with different analyses and the obtained results have been compared to those from other methods available in the literature. The result comparisons have indicated that the proposed method is very efficient for solving the problem with good optimal solution and fast computational time. Therefore, the proposed ALHN can be a very favorable method for solving the multi-objective short term fixed head hydrothermal scheduling problems.

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An Interactive Fuzzy Satisficing Method for Multiobjective Linear-Programming Problems and Its Application

Cited by 192 publications

References 16 publications

A new fuzzy mathematical model for green supply chain network design

A new fuzzy mathematical model for green supply chain network design

The development of a green supply chain dual-objective facility by considering different levels of uncertainty

Multi-Objective Short-Term Fixed Head Hydrothermal Scheduling Using Augmented Lagrange Hopfield Network

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