Affiliations: Department of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi, P.R. China
Correspondence:
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Corresponding author. Wei Yang, Department of Mathematics, School of Science, Xi’an University of Architecture
and Technology, 710055 Xi’an, Shaanxi, P.R. China. Tel.: +86 13572257796; Fax: +86 29 82205670;
E-mail: [email protected].
Abstract: Hesitant interval-valued intuitionistic fuzzy linguistic set has been developed by extending hesitant fuzzy set, interval-valued intuitionistic fuzzy values and linguistic terms. Some operational laws and distance measures for hesitant interval-valued intuitionistic fuzzy linguistic elements are defined. Several new generalized aggregation operators are proposed for hesitant interval-valued intuitionistic fuzzy linguistic information and some special cases of new operators are studied. Two new multiple attribute decision-making methods have been proposed using new aggregation operators and TOPSIS method. Painting selection problem has been presented to illustrate new methods.
Keywords: Multiple attribute decision making, hesitant interval-valued intuitionistic fuzzy linguistic set, hesitant linguistic decision making
