Journal
COMPUTERS & INDUSTRIAL ENGINEERING
Volume 99, Issue -, Pages 63-77Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cie.2016.07.004
Keywords
Interval-valued hesitant fuzzy set; 2nd-order dispersive central polymerization degree function; Power Bonferroni mean; Multiple attribute group decision making
Funding
- National Natural Science Foundation of China [71225006, 71532008]
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The interval-valued hesitant fuzzy set is a significant tool to express the uncertain information. In this paper, we define the interval-valued hesitant fuzzy 2nd-order central polymerization degree (IVHFCP2) function and the interval-valued hesitant fuzzy 2nd-order dispersive central polymerization degree (IVHFDCP2) function to further compare different interval-valued hesitant fuzzy sets. To capture much more information for the multiple attribute group decision making, we combine the Bonferroni mean with the power average operator to accommodate to interval-valued hesitant fuzzy environments and develop the interval-valued hesitant fuzzy power Bonferroni mean (IVHFPBM) and the interval-valued hesitant fuzzy weighted power Bonferroni mean (IVHFWPBM). We investigate the desirable properties of the new interval-valued hesitant fuzzy aggregation operators and discuss their special cases in detail. Finally, the new aggregation operators are applied to interval-valued hesitant fuzzy multiple attribute group decision making and a numerical example is given to illustrate the effectiveness of the presented approaches. (C) 2016 Elsevier Ltd. All rights reserved.
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