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Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application

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  • Sidong Xian

Abstract

With respect to multiple attribute group decision making (MAGDM) problems, in which the attribute weights take the form of real numbers, and the attribute values take the form of fuzzy linguistic scale variables, a decision analysis approach is proposed. In this paper, we develop a new fuzzy linguistic induce OWA (FLIOWA) operator and analyze the properties of it by utilizing some operational laws of fuzzy linguistic scale variables. A method based on the FLIOWA operators for multiple attribute group decision making is presented. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method.

Suggested Citation

  • Sidong Xian, 2012. "Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:210392
    DOI: 10.1155/2012/210392
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    References listed on IDEAS

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    1. Enrique Herrera‐Viedma & Gabriella Pasi & Antonio G. Lopez‐Herrera & Carlos Porcel, 2006. "Evaluating the information quality of Web sites: A methodology based on fuzzy computing with words," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 57(4), pages 538-549, February.
    2. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
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    Cited by:

    1. Xiuzhi Sang & Xinwang Liu, 2013. "Parametric Extension of the Most Preferred OWA Operator and Its Application in Search Engine′s Rank," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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