2021
DOI: 10.1007/s40747-020-00234-4
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Solving fuzzy multi-objective shortest path problem based on data envelopment analysis approach

Abstract: The shortest path problem (SPP) is a special network structured linear programming problem that appears in a wide range of applications. Classical SPPs consider only one objective in the networks while some or all of the multiple, conflicting and incommensurate objectives such as optimization of cost, profit, time, distance, risk, and quality of service may arise together in real-world applications. These types of SPPs are known as the multi-objective shortest path problem (MOSPP) and can be solved with the ex… Show more

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Cited by 23 publications
(19 citation statements)
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“…The context-dependent DEA model was proposed by Seiford and Zhu in 2003 to grade DMUs into multi-levels, assuming that the production technology satisfies the CRS assumption [27]. Inspired by this model, Guoliang et al [2] proposed to grade DMUs, assuming the production technology satisfies the VRS assumption [29]. The following algorithm explains the procedure: Step1: Run the DEA model ( 2) to obtain a production frontier.…”
Section: Context-dependent Dea Modelmentioning
confidence: 99%
See 2 more Smart Citations
“…The context-dependent DEA model was proposed by Seiford and Zhu in 2003 to grade DMUs into multi-levels, assuming that the production technology satisfies the CRS assumption [27]. Inspired by this model, Guoliang et al [2] proposed to grade DMUs, assuming the production technology satisfies the VRS assumption [29]. The following algorithm explains the procedure: Step1: Run the DEA model ( 2) to obtain a production frontier.…”
Section: Context-dependent Dea Modelmentioning
confidence: 99%
“…Applications of the formal theories of system science in science of science are demonstrated, which reveals how system structural and behavioral complexities may be efficiently reduced [28]. As a popular and effective mathematical method, data envelopment analysis (DEA) has been deeply studied and widely used in many fields [2,22]. Bagheri et al [2] proposed a DEA-based method to multiobjective shortest path problem.…”
Section: Introductionmentioning
confidence: 99%
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“…Bagheri et al [25] claimed that till now no one has used a fuzzy DEA approach to solve fuzzy multi-objective shortest path problems. To fill this gap, Bagheri et al [25] proposed a fuzzy DEA-based approach to solve fuzzy multi-objective shortest path problems.…”
Section: Literature Reviewmentioning
confidence: 99%
“…In fact, they proposed a fuzzy data envelopment analysis (DEA) method for solving multiobjective fuzzy TP (FMOTP) [16]. Bagheri and colleagues also proposed a model for solving the short-term multiobjective fuzzy path problem based on the data envelopment analysis approach [17]. Kachouei et al introduced a common weights approach for the banking industry to evaluate the performance of fuzzy data envelopment analysis with adverse outputs [18].…”
Section: Introductionmentioning
confidence: 99%