Fuzzy facility location-allocation problem under the Hurwicz criterion

Wen, Meilin; Iwamura, Kakuzo

doi:10.1016/j.ejor.2006.11.029

Cited by 91 publications

(30 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The definition of the fitness function for developing the algorithms is important because of this uncertainty. In the literature, both the Hamming distance and the credibility measure are used to define the fitness function (López-González et al 2000;Yang et al 2007;Wen and Iwamura 2008). The method to adequately define the fitness function to reflect the possible shortage and surplus is the first issue addressed in the present study.…”

Section: Literature Reviewmentioning

confidence: 98%

“…In recent studies, the credibility measure was also used. Peng and Liu (2004), Zheng and Liu (2006), Ke and Liu (2007), Yang et al (2007), and Wen and Iwamura (2008) were among those who used the credibility measure. However, the credibility measure does not consider the complete information of fuzzy numbers at any one time, which therefore, remains an issue.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Yang et al (2007) adopted a chance-constrained method with the credibility measure of the fuzzy parameters and applied the hybrid algorithms of Tabu Search and GA to solve logistics distribution center location problems. Wen and Iwamura (2008) also used the credibility measure and GAs to solve the facility location-allocation problem using optimistic and pessimistic criteria. Other applications of uncertainty with credibility measure and GAs have been used in numerous studies, such as those by Peng and Liu (2004), Zheng and Liu (2006), and Ke and Liu (2007).…”

Section: Literature Reviewmentioning

confidence: 99%

See 2 more Smart Citations

A possibilistic approach to the modeling and resolution of uncertain closed-loop logistics

Wang

Hsu

2012

Fuzzy Optim Decis Making

View full text Add to dashboard Cite

Closed-loop logistics planning is an important tactic for the achievement of sustainable development. However, the correlation among the demand, recovery, and landfilling makes the estimation of their rates uncertain and difficult. Although the fuzzy numbers can present such kinds of overlapping phenomena, the conventional method of defuzzification using level-cut methods could result in the loss of information. To retain complete information, the possibilistic approach is adopted to obtain the possibilistic mean and mean square imprecision index (MSII) of the shortage and surplus for uncertain factors. By applying the possibilistic approach, a multi-objective, closed-loop logistics model considering shortage and surplus is formulated. The two objectives are to reduce both the total cost and the root MSII. Then, a non-dominated solution can be obtained to support decisions with lower perturbation and cost. Also, the information on prediction interval can be obtained from the possibilistic mean and root MSII to support the decisions in the uncertain environment. This problem is non-deterministic polynomial-time hard, so a new algorithm based on the spanning tree-based genetic algorithm has been developed. Numerical experiments have shown that the proposed algorithm can yield comparatively efficient and accurate results.

show abstract

Section: Literature Reviewmentioning

confidence: 98%

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

See 1 more Smart Citation

A possibilistic approach to the modeling and resolution of uncertain closed-loop logistics

Wang

Hsu

2012

Fuzzy Optim Decis Making

View full text Add to dashboard Cite

show abstract

“…Zhou (2002) constructed a fuzzy programming model for a minimax facility location problem. Wen and Iwamura (2004) discussed a fuzzy facility locationallocation problem under the Hurwicz criterion. Zhou and Liu (2006) modeled a capacitated location-allocation problem with fuzzy demands.…”

Section: Applicationsmentioning

confidence: 99%

A survey of credibility theory

Liu

2006

Fuzzy Optim Decis Making

382

View full text Add to dashboard Cite

This paper provides a survey of credibility theory that is a new branch of mathematics for studying the behavior of fuzzy phenomena. Some basic concepts and fundamental theorems are introduced, including credibility measure, fuzzy variable, membership function, credibility distribution, expected value, variance, critical value, entropy, distance, credibility subadditivity theorem, credibility extension theorem, credibility semicontinuity law, product credibility theorem, and credibility inversion theorem. Recent developments and applications of credibility theory are summarized. A new idea on chance space and hybrid variable is also documented.

show abstract

“…Wen and Iwamura (2008) presented a new a-cost model with fuzzy demands under the Hurwicz criterion. In order to solve this model, the paper proposed a hybrid intelligent algorithm integrated by the simplex algorithm, fuzzy simulations and a genetic algorithm [8]. Batanovic, Petrovic, and Petrovic (2009) suggested maximal covering location problems in networks with uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Simulation of Emergency Service Facilities Location Problem Under Fuzzy Environment

Guo¹,

2014

TOMEJ

View full text Add to dashboard Cite

Abstract:The emergency service facilities location is one of the most important issues in the emergency management. This study focused on the location set covering problem (LSCP) for emergency service facilities under fuzzy environment. On the basis of defining the signed distance of trapezoidal fuzzy number, the ranking rules of trapezoidal fuzzy number are defined, the model of emergency service facilities location with fuzzy restraints is proposed, and the solution algorithm for the emergency service location based on the ordering rules of trapezoidal fuzzy number is given. Finally, a numerical simulation is used to illustrate the application of the method, which shows that the algorithm is feasible and advantageous.

show abstract

Fuzzy facility location-allocation problem under the Hurwicz criterion

Cited by 91 publications

References 26 publications

A possibilistic approach to the modeling and resolution of uncertain closed-loop logistics

A possibilistic approach to the modeling and resolution of uncertain closed-loop logistics

A survey of credibility theory

Modeling and Simulation of Emergency Service Facilities Location Problem Under Fuzzy Environment

Contact Info

Product

Resources

About