Multi-Criteria Decision Making Based on Correlation Coefficient of Triangular Intuitionistic Fuzzy Numbers

doi:10.1007/s12204-019-2098-y

Journal of Shanghai Jiao Tong University (Science) ›› 2019, Vol. 24 ›› Issue (4): 480-484.doi: 10.1007/s12204-019-2098-y

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Multi-Criteria Decision Making Based on Correlation Coefficient of Triangular Intuitionistic Fuzzy Numbers

WU Di (吴迪), YAN Xiangbin (闫相斌), PENG Rui* (彭锐), MA Xiaoyang (马晓洋)

(1. School of Management, Xi’an Jiaotong University, Xi’an 710049, China; 2. Donlinks School of Economics and Management, University of Science and Technology Beijing, Beijing 100083, China; 3. School of Economics and Management, Beijing University of Technology, Beijing 100124, China)
(1. School of Management, Xi’an Jiaotong University, Xi’an 710049, China; 2. Donlinks School of Economics and Management, University of Science and Technology Beijing, Beijing 100083, China; 3. School of Economics and Management, Beijing University of Technology, Beijing 100124, China)

Online:2019-08-01 Published:2019-07-29
Contact: PENG Rui* (彭锐) E-mail:pengruisubmit@163.com

Abstract

Abstract: We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknown, triangular intuitionistic fuzzy method can not only supplement the insufficiency of the method based on the distance but also endow more information to the estimation and reduce the loss of evaluation information. Among the triangular numbers, two boundary numbers are the maximum and minimum values of the interval respectively, and the medium number is the most possible value under subjective estimation. Using this method, we propose a new way to obtain the criteria weights with more information quantity. By ranking the relative closeness of the weighted correlation coefficients between each alternative, and the critical and ideal alternatives, we show the method to figure out the most suitable alternative based on the expected criteria. An illustrative example is also taken into account to prove the effectiveness of the model.

Key words: multi-criteria decision making| correlation coefficient| triangular intuitionistic fuzzy numbers| relative closeness

摘要： We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknown, triangular intuitionistic fuzzy method can not only supplement the insufficiency of the method based on the distance but also endow more information to the estimation and reduce the loss of evaluation information. Among the triangular numbers, two boundary numbers are the maximum and minimum values of the interval respectively, and the medium number is the most possible value under subjective estimation. Using this method, we propose a new way to obtain the criteria weights with more information quantity. By ranking the relative closeness of the weighted correlation coefficients between each alternative, and the critical and ideal alternatives, we show the method to figure out the most suitable alternative based on the expected criteria. An illustrative example is also taken into account to prove the effectiveness of the model.

关键词: multi-criteria decision making| correlation coefficient| triangular intuitionistic fuzzy numbers| relative closeness

CLC Number:

F 403.3

WU Di (吴迪), YAN Xiangbin (闫相斌), PENG Rui* (彭锐), MA Xiaoyang (马晓洋). Multi-Criteria Decision Making Based on Correlation Coefficient of Triangular Intuitionistic Fuzzy Numbers[J]. Journal of Shanghai Jiao Tong University (Science), 2019, 24(4): 480-484.

References

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Multi-Criteria Decision Making Based on Correlation Coefficient of Triangular Intuitionistic Fuzzy Numbers

Multi-Criteria Decision Making Based on Correlation Coefficient of Triangular Intuitionistic Fuzzy Numbers

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