PMID- 24983009 OWN - NLM STAT- MEDLINE DCOM- 20141028 LR - 20211021 IS - 1537-744X (Electronic) IS - 2356-6140 (Print) IS - 1537-744X (Linking) VI - 2014 DP - 2014 TI - Multicriteria decision-making approach with hesitant interval-valued intuitionistic fuzzy sets. PG - 868515 LID - 10.1155/2014/868515 [doi] LID - 868515 AB - The definition of hesitant interval-valued intuitionistic fuzzy sets (HIVIFSs) is developed based on interval-valued intuitionistic fuzzy sets (IVIFSs) and hesitant fuzzy sets (HFSs). Then, some operations on HIVIFSs are introduced in detail, and their properties are further discussed. In addition, some hesitant interval-valued intuitionistic fuzzy number aggregation operators based on t-conorms and t-norms are proposed, which can be used to aggregate decision-makers' information in multicriteria decision-making (MCDM) problems. Some valuable proposals of these operators are studied. In particular, based on algebraic and Einstein t-conorms and t-norms, some hesitant interval-valued intuitionistic fuzzy algebraic aggregation operators and Einstein aggregation operators can be obtained, respectively. Furthermore, an approach of MCDM problems based on the proposed aggregation operators is given using hesitant interval-valued intuitionistic fuzzy information. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the developed approach, and the study is supported by a sensitivity analysis and a comparison analysis. FAU - Peng, Juan-juan AU - Peng JJ AD - School of Business, Central South University, Changsha 410083, China ; School of Economics and Management, Hubei University of Automotive Technology, Shiyan 442002, China. FAU - Wang, Jian-qiang AU - Wang JQ AD - School of Business, Central South University, Changsha 410083, China. FAU - Wang, Jing AU - Wang J AD - School of Business, Central South University, Changsha 410083, China. FAU - Chen, Xiao-hong AU - Chen XH AD - School of Business, Central South University, Changsha 410083, China. LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20140327 PL - United States TA - ScientificWorldJournal JT - TheScientificWorldJournal JID - 101131163 SB - IM MH - *Algorithms MH - *Decision Making MH - *Models, Theoretical PMC - PMC4038350 EDAT- 2014/07/02 06:00 MHDA- 2014/10/29 06:00 PMCR- 2014/03/27 CRDT- 2014/07/02 06:00 PHST- 2013/08/24 00:00 [received] PHST- 2013/12/24 00:00 [accepted] PHST- 2014/07/02 06:00 [entrez] PHST- 2014/07/02 06:00 [pubmed] PHST- 2014/10/29 06:00 [medline] PHST- 2014/03/27 00:00 [pmc-release] AID - 10.1155/2014/868515 [doi] PST - ppublish SO - ScientificWorldJournal. 2014;2014:868515. doi: 10.1155/2014/868515. Epub 2014 Mar 27.