期刊
INFORMATION SCIENCES
卷 372, 期 -, 页码 53-71出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.08.019
关键词
Group decision making; Interval-valued Atanassov intuitionistic; fuzzy preference relation; Multiplicative consistency; Goal program
资金
- National Natural Science Foundation of China [61263018, 71361002, 11461030]
- Young scientists Training object of Jiangxi province [20151442040081]
- Natural Science Foundation of Jiangxi Province of China [S2016ZRMSB0972]
- Science and Technology Project of Jiangxi province educational department of China [GJJ150463, GJJ150466]
- Excellent Young Academic Talent Support Program of Jiangxi University of Finance and Economics
- Graduate Student Innovation Foundation of Jiangxi province [YC2015-B055]
- Guangxi Philosophy and Social Science Programming Project [15FGL011]
- Guangxi University Research Project [KY2016YB196]
This paper investigates the group decision making (GDM) problems with interval-valued Atanassov intuitionistic fuzzy preference relations (IV-AIFPRs) and develops a novel method for solving such problems. A new consistency index of an Atanassov intuitionistic fuzzy preference relation (AIFPR) is introduced to judge the consistency of an AIFPR and then a convergent iterative Algorithm I is designed to repair the consistency of an AIFPR with unacceptable consistency. Subsequently, the consistency and acceptable consistency of an IV-AIFPR are defined through separating an IV-AIFPR into two AIFPRs. Based on Algorithm I, a new iterative Algorithm II is devised to repair the consistency of an IV-AIFPR with unacceptable consistency. Afterwards, to determine decision makers' (DMs') weights objectively, an optimization model is established by minimizing the deviations between each individual IV-AIFPR and the collective one. This model is skillfully transformed into a linear goal program to resolve sufficiently considering different principles of decision making. A linear program is built to derive interval-valued Atanassov intuitionistic fuzzy (IVAIF) priority weights of alternatives. Then, a TOPSIS (technique for order performance by similarity to an ideal solution) based approach is proposed to rank such IVAIF priority weights. Thereby, a method for GDM with IV-AIFPRs is put forward. At length, a practical example of a virtual enterprise partner selection is provided to illustrate the feasibility and validity of the proposed method. (C) 2016 Elsevier Inc. All rights reserved.
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