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Multiattribute Decision Making Method Based on Intuitionistic Linguistic Aggregation Operator

Author

Listed:
  • Chen Jing

    (College of Mathematics and Information Science, Guangxi University, Nanning, 530004, China)

  • Wang Zhongxing

    (College of Mathematics and Information Science, Guangxi University, Nanning, 530004, China)

Abstract

In this paper, some new operational laws for intuitionistic linguistic numbers are defined via Archimedean t-norm and s-norm. The prominent feature of these operations is that these operations are closed. Some main properties of these operations, like commutativity, associativity and distribution law, are investigated. Based on these operational laws, intuitionistic linguistic weighted arithmetic averaging operator is given to aggregate intuitionistic linguistic information. Furthermore, in order to reduce uncertain information of intuitionistic linguistic number, hesitancy degree is divided into degrees of membership and non-membership in proportions, and new expected function and score function are built and used to rank intuitionistic linguistic numbers. Finally, an approach is proposed to solve multiattribute decision making problems in which attribute weights are real numbers and attribute values are intuitionistic linguistic numbers, and a real example is provided to show the effectiveness and applicability of the new method.

Suggested Citation

  • Chen Jing & Wang Zhongxing, 2016. "Multiattribute Decision Making Method Based on Intuitionistic Linguistic Aggregation Operator," Journal of Systems Science and Information, De Gruyter, vol. 4(6), pages 574-586, December.
    • Handle: RePEc:bpj:jossai:v:4:y:2016:i:6:p:574-586:n:7
    DOI: 10.21078/JSSI-2016-574-13
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    References listed on IDEAS

    as
    1. 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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