Intuitionistic normal fuzzy prioritized aggregation operators and their application to group decision making

LIU Zhengmin, LIU Peide

Systems Engineering - Theory & Practice ›› 2016, Vol. 36 ›› Issue (2) : 494-504.

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中国科学院数学与系统科学研究院期刊网
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Systems Engineering - Theory & Practice ›› 2016, Vol. 36 ›› Issue (2) : 494-504. DOI: 10.12011/1000-6788(2016)02-0494-11

Intuitionistic normal fuzzy prioritized aggregation operators and their application to group decision making

  • LIU Zhengmin, LIU Peide
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Abstract

An intuitionistic normal fuzzy number is the generalization of an intuitionistic fuzzy number and an normal fuzzy number. For the intuitionistic normal fuzzy information aggregating problems, some operational laws as well as the expected value and comparison criteria of the intuitionistic normal fuzzy numbers are defined and proved. Based on these operational laws, we develop some aggregation operators which has prioritization relationships between the criterias, including the intuitionistic normal fuzzy prioritized weighted arithmetic averaging operator (INFPWA), the intuitionistic normal fuzzy prioritized weighted geometric operator (INFPWG) and the intuitionistic normal fuzzy prioritized ordered weighted averaging operator (INFPOWA), and the properties of these operators are presented. For multiple-criteria group decision problems, in which the experts and criterias are in different priority level and the criteria values are intuitionistic normal fuzzy numbers, an approach based on intuitionistic normal fuzzy prioritized aggregation operators is proposed. Finally, an illustrative example shows the feasibility and availability of the proposed approach.

Key words

intuitionistic normal fuzzy number / prioritized aggregation operator / multi-criteria group decision making

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LIU Zhengmin , LIU Peide. Intuitionistic normal fuzzy prioritized aggregation operators and their application to group decision making. Systems Engineering - Theory & Practice, 2016, 36(2): 494-504 https://doi.org/10.12011/1000-6788(2016)02-0494-11

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Funding

The General Program of National Natural Science Foundation of China (71271124, 71471172); Humanity and Social Science Youth Foundation of Ministry of Education (13YJC630104); Shandong Provincial Natural Science Foundation, China (ZR2013GQ011)
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