Extension of VIKOR method for decision making problem with interval numbers

Sayadi, Mohammad Kazem; Heydari, Majeed; Shahanaghi, Kamran

doi:10.1016/j.apm.2008.06.002

Cited by 395 publications

(200 citation statements)

References 10 publications

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“…In an interval method, the availability of interval information concerning quantities is essential for modeling [32]. Unlike probabilistic and fuzzy methods, there is no need for the interval approach to determine or assume possible distributions (in random programming) or membership functions (in fuzzy programming), as working with interval data is simpler than other methods [33].…”

Section: Approaches To Applying Uncertainties In Task Allocationmentioning

confidence: 99%

Developing an Agent-Based Simulation System for Post-Earthquake Operations in Uncertainty Conditions: A Proposed Method for Collaboration among Agents

Hooshangi

Alesheikh

2018

IJGI

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Agent-based modeling is a promising approach for developing simulation tools for natural hazards in different areas, such as during urban search and rescue (USAR) operations. The present study aimed to develop a dynamic agent-based simulation model in post-earthquake USAR operations using geospatial information system and multi agent systems (GIS and MASs, respectively). We also propose an approach for dynamic task allocation and establishing collaboration among agents based on contract net protocol (CNP) and interval-based Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) methods, which consider uncertainty in natural hazards information during agents' decision-making. The decision-making weights were calculated by analytic hierarchy process (AHP). In order to implement the system, earthquake environment was simulated and the damage of the buildings and a number of injuries were calculated in Tehran's District 3: 23%, 37%, 24% and 16% of buildings were in slight, moderate, extensive and completely vulnerable classes, respectively. The number of injured persons was calculated to be 17,238. Numerical results in 27 scenarios showed that the proposed method is more accurate than the CNP method in the terms of USAR operational time (at least 13% decrease) and the number of human fatalities (at least 9% decrease). In interval uncertainty analysis of our proposed simulated system, the lower and upper bounds of uncertain responses are evaluated. The overall results showed that considering uncertainty in task allocation can be a highly advantageous in the disaster environment. Such systems can be used to manage and prepare for natural hazards.

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Section: Approaches To Applying Uncertainties In Task Allocationmentioning

confidence: 99%

Developing an Agent-Based Simulation System for Post-Earthquake Operations in Uncertainty Conditions: A Proposed Method for Collaboration among Agents

Hooshangi

Alesheikh

2018

IJGI

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“…Equally, they have been tackle the MCDM problems with the interval valued fuzzy numbers (Kuo and Liang, 2012;Sayadi et al, 2009).…”

Section: The Proposed Methodsmentioning

confidence: 99%

Limited public resources allocation model based on social fairness using an extended VIKOR method

Jiang

2016

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Article information:To cite this document: Wenqi Jiang, (2016) "Limited public resources allocation model based on social fairness using an extended VIKOR method", Kybernetes, Vol. 45 Issue: 7, pp.998-1012, https For AuthorsIf you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation.*Related content and download information correct at time of download. Limited public resources allocation model based on social fairness using an extended VIKOR method Wenqi JiangNanjing University of Science and Technology, Nanjing, China Abstract Purpose -Different from manufacturing resources allocation problems, the prices and amounts of limited public service resources could not be changed with the consumers' requirements and social fairness is the most important objective for improving allocation efficiency. To measure social fairness reasonably, the purpose of this paper is fourfold: first, divide social fairness into longitudinal comparative fairness and crosswise comparative fairness, therefore providing their calculation formula and describing the comprehensive fair degree by using the interval numbers. Second, the comparison regulations of interval numbers are given and the corresponding features are also described. Third, an extension of VIKOR method is put forward for evaluating social fairness of different allocation alternatives with interval numbers. Finally, a numerical example illustrates the proposed method and clarifies the main results developed in the paper. Design/methodology/approach -In this paper, the author depicts the social fair degree as an interval number, and thus proposes the comparison method between any two interval numbers. Based on the basis procedure of the VIKOR method, the paper proposes an extension of the fuzzy VIKOR method with the interval numbers to rank and select the compromise allocation alternatives. Finally, a numerical example illustrates the practicability of the proposed method.Findings -The comparison of interval numbers is very important when the author evaluates the decision alternatives. Through analyzing the present comparison methods, the paper proposes the simple method of comparing the interval numbers, which can obtain the same results with the above two methods. The fuzzy VIKOR method, a popular multi-...

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“…The VIKOR method classifies the various alternatives so that most of the group obtains their highest utility and minimal individual repentance for the rest. Assuming that the alternatives are been evaluated according to each criterion function, the compromise ranking can be performed by comparing the 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 measure of closeness to the ideal alternative (Sayadi et al 2009). VIKOR method ranks alternatives and determines the solution named compromise that is the closest to the ideal.…”

Section: Achieving Compromise Solution With Vikor Methodsmentioning

confidence: 99%

Hybrid method for selection of the optimal process of leachate treatment in waste treatment and valorization plants or landfills

Martin-Utrillas

Reyes-Medina

Curiel-Esparza

et al. 2014

Clean Techn Environ Policy

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Martín Utrillas, MG.; Reyes Medina, M.; Curiel Esparza, J.; Cantó Perelló, J. (2015). Hybrid method for selection of the optimal process of leachate treatment in waste treatment and valorization plants or landfills. Clean Technologies and Environmental Policy. 17(4):873-885. doi:10.1007/s10098-014-0834-4. 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 ABSTRACT Leachate from landfill waste plants is a very complex and highly contaminated liquid. In its composition we find dissolved organic matter, inorganic salts, heavy metals and other xenobiotic organic compounds, so it can be toxic, carcinogenic and capable of inducing a potential risk to biota and humans. European law does not allow such leachate to leave the premises without being depurated. There are many procedures that enable debugging, always combining different techniques. Choosing the best method to use in each case is a complex decision, as it depends on many tangible and intangible factors that must be weighed to achieve a balance between technical, cost, and environmental sustainability. We present a hybrid method for choosing the optimal combination of techniques to apply in each case, by combining a multi-criteria hierarchical analysis based on expert data obtained by the Delphi method with an analysis by the method of VIKOR to reach a consensus solution.Manuscript Click here to download Manuscript: Manuscript.docx 1 2 3 4 5 6 7 8

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Extension of VIKOR method for decision making problem with interval numbers

Cited by 395 publications

References 10 publications

Developing an Agent-Based Simulation System for Post-Earthquake Operations in Uncertainty Conditions: A Proposed Method for Collaboration among Agents

Developing an Agent-Based Simulation System for Post-Earthquake Operations in Uncertainty Conditions: A Proposed Method for Collaboration among Agents

Limited public resources allocation model based on social fairness using an extended VIKOR method

Hybrid method for selection of the optimal process of leachate treatment in waste treatment and valorization plants or landfills

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