Multi-criteria decision-making method based on normal intuitionistic fuzzy-induced generalized aggregation operator

Jian-qiang Wang (), Peng Zhou, Kang-jian Li, Hong-yu Zhang and Xiao-hong Chen

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 22, issue 3, 1103-1122

Abstract: Normal intuitionistic fuzzy numbers (NIFNs), which use normal fuzzy numbers to express their membership and non-membership functions, can reflect the evaluation information exactly in different dimensions. In this paper, we are committed to apply NIFNs to multi-criteria decision-making (MCDM) problems, and meanwhile some new aggregation operators are proposed, including normal intuitionistic fuzzy weighted arithmetic averaging operator, normal intuitionistic fuzzy weighted geometric averaging operator, normal intuitionistic fuzzy-induced ordered weighted averaging operator, normal intuitionistic fuzzy-induced ordered weighted geometric averaging operator and normal intuitionistic fuzzy-induced generalized ordered weighted averaging operator (NIFIGOWA). Based on the NIFIGOWA operator, an approach is introduced to solve MCDM problems where the criteria values are NIFNs and the criteria weight information is fixed. Finally, the proposed method is compared to the existing methods by virtue of a numerical example to verify its feasibility and rationality. Copyright Sociedad de Estadística e Investigación Operativa 2014

Keywords: Multi-criteria decision-making; Normal intuitionistic fuzzy number; Normal intuitionistic fuzzy aggregation operator; Normal intuitionistic fuzzy-induced generalized aggregation operator; 90B50 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:topjnl:v:22:y:2014:i:3:p:1103-1122

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DOI: 10.1007/s11750-014-0314-3

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