4.2 Article

INDUCED CHOQUET INTEGRALS OF 2-TUPLE LINGUISTIC INFORMATION

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218488513500104

Keywords

Choquet integral; multiple attribute decision making; 2-tuple; group decision making

Funding

  1. Department of Education Fund of Shaanxi Province, China [12JK1000]
  2. Young Fund of Xi'an University of Architecture and Technology [QN1245]
  3. Work Foundation of Xi'an University of Architecture and Technology [RC1236]

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The group decision making problem with inter-dependent or interactive attributes is studied. By using the Choquet integral and the inducing variables, we develop the induced 2-tuple correlated averaging (ITCA) operator, the generalized induced 2-tuple correlated averaging (GITCA) operator and the quasi-arithmetic induced 2-tuple correlated averaging (QITCA) operator. The characteristics of the proposed operators are that the evaluation values of decision makers are in linguistic arguments, the correlations among the elements can be reflected and the ordering of the arguments is based on other associated variables instead of their own values. The properties of these operators are studied and new multiple attribute decision making method based on the new operators is proposed. Finally, architecture material supplier selection problem is provided to illustrate the feasibility and efficiency of the proposed method.

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