Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on Choquet Integral and Its Application to Multi-Criteria Decision-Making Problems

doi:10.15302/J-FEM-2015048

Front. Eng

2015, Vol. 2

Issue (3) : 266-276 https://doi.org/10.15302/J-FEM-2015048

Engineering Management Theories and Methodologies

Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on Choquet Integral and Its Application to Multi-Criteria Decision-Making Problems

Xi-hua Li(

),Xiao-hong Chen

Business School of Central South University; Collaborative Innovation Center of Resource-conserving & Environment-friendly Society and Ecological Civilization, Changsha 410083, China

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Abstract

The Choquet integral can serve as a useful tool to aggregate interacting criteria in an uncertain environment. In this paper, a trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is proposed for multi-criteria decision-making problems. The decision information takes the form of trapezoidal intuitionistic fuzzy numbers and both the importance and the interaction information among decision-making criteria are considered. On the basis of the introduction of trapezoidal intuitionistic fuzzy numbers, its operational laws and expected value are defined. A trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is then defined and some of its properties are investigated. A new multi-criteria decision-making method based on a trapezoidal intuitionistic fuzzy Choquet integral operator is proposed. Finally, an illustrative example is used to show the feasibility and availability of the proposed method.

Keywords multi-criteria decision making trapezoidal intuitionistic fuzzy numbers Choquet integral fuzzy measure aggregation operator

Corresponding Author(s): Xi-hua Li

Online First Date: 16 March 2016 Issue Date: 21 March 2016

Cite this article:

Xi-hua Li,Xiao-hong Chen. Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on Choquet Integral and Its Application to Multi-Criteria Decision-Making Problems[J]. Front. Eng, 2015, 2(3): 266-276.

URL:

https://academic.hep.com.cn/fem/EN/10.15302/J-FEM-2015048
https://academic.hep.com.cn/fem/EN/Y2015/V2/I3/266

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