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A Selection Method Based on MAGDM with Interval-Valued Intuitionistic Fuzzy Sets

Author

Listed:
  • Gai-Li Xu
  • Shu-Ping Wan
  • Xiao-Lan Xie

Abstract

As the cloud computing develops rapidly, more and more cloud services appear. Many enterprises tend to utilize cloud service to achieve better flexibility and react faster to market demands. In the cloud service selection, several experts may be invited and many attributes (indicators or goals) should be considered. Therefore, the cloud service selection can be regarded as a kind of Multiattribute Group Decision Making (MAGDM) problems. This paper develops a new method for solving such MAGDM problems. In this method, the ratings of the alternatives on attributes in individual decision matrices given by each expert are in the form of interval-valued intuitionistic fuzzy sets (IVIFSs) which can flexibly describe the preferences of experts on qualitative attributes. First, the weights of experts on each attribute are determined by extending the classical gray relational analysis (GRA) into IVIF environment. Then, based on the collective decision matrix obtained by aggregating the individual matrices, the score (profit) matrix, accuracy matrix, and uncertainty (risk) matrix are derived. A multiobjective programming model is constructed to determine the attribute weights. Subsequently, the alternatives are ranked by employing the overall scores and uncertainties of alternatives. Finally, a cloud service selection problem is provided to illustrate the feasibility and effectiveness of the proposed methods.

Suggested Citation

  • Gai-Li Xu & Shu-Ping Wan & Xiao-Lan Xie, 2015. "A Selection Method Based on MAGDM with Interval-Valued Intuitionistic Fuzzy Sets," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, June.
    • Handle: RePEc:hin:jnlmpe:791204
    DOI: 10.1155/2015/791204
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    Cited by:

    1. Ibrahim M. Hezam & Naga Rama Devi Vedala & Bathina Rajesh Kumar & Arunodaya Raj Mishra & Fausto Cavallaro, 2023. "Assessment of Biofuel Industry Sustainability Factors Based on the Intuitionistic Fuzzy Symmetry Point of Criterion and Rank-Sum-Based MAIRCA Method," Sustainability, MDPI, vol. 15(8), pages 1-24, April.
    2. Abbas Mardani & Sarita Devi & Melfi Alrasheedi & Leena Arya & Mrigendra Pratap Singh & Kiran Pandey, 2023. "Hybrid Intuitionistic Fuzzy Entropy-SWARA-COPRAS Method for Multi-Criteria Sustainable Biomass Crop Type Selection," Sustainability, MDPI, vol. 15(10), pages 1-18, May.
    3. Ibrahim M. Hezam & Arunodaya Raj Mishra & Pratibha Rani & Fausto Cavallaro & Abhijit Saha & Jabir Ali & Wadim Strielkowski & Dalia Štreimikienė, 2022. "A Hybrid Intuitionistic Fuzzy-MEREC-RS-DNMA Method for Assessing the Alternative Fuel Vehicles with Sustainability Perspectives," Sustainability, MDPI, vol. 14(9), pages 1-32, May.
    4. Melda Kokoç & Süleyman Ersöz, 2021. "A literature review of interval-valued intuitionistic fuzzy multi-criteria decision-making methodologies," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(4), pages 89-116.
    5. Arunodaya Raj Mishra & Dinesh Kumar Tripathi & Fausto Cavallaro & Pratibha Rani & Santosh K. Nigam & Abbas Mardani, 2022. "Assessment of Battery Energy Storage Systems Using the Intuitionistic Fuzzy Removal Effects of Criteria and the Measurement of Alternatives and Ranking Based on Compromise Solution Method," Energies, MDPI, vol. 15(20), pages 1-23, October.

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