Intuitionistic Linguistic Weighted Bonferroni Mean Operator and Its Application to Multiple Attribute Decision Making
Joint Authors
Liu, Peide
Rong, Lili
Chu, Yanchang
Li, Yanwei
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The intuitionistic linguistic variables are easier to describe the fuzzy information which widely exists in the real world, and Bonferroni mean can capture the interrelationship of the individual arguments.
However, the traditional Bonferroni mean can only process the crisp number.
In this paper, we will extend Bonferroni mean to the intuitionistic linguistic environment and propose a multiple attribute decision making method with intuitionistic linguistic information based on the extended Bonferroni mean which can consider the interrelationship of the attributes.
Firstly, score function and accuracy function of intuitionistic linguistic numbers are introduced.
Then, an intuitionistic linguistic Bonferroni mean (ILBM) operator and an intuitionistic linguistic weighted Bonferroni mean (ILWBM) operator are developed, and some desirable characteristics of them are studied.
At the same time, some special cases with respect to the parameters p and q in Bonferroni are analyzed.
Based on the ILWBM operator, the approach to multiple attribute decision making with intuitionistic linguistic information is proposed.
Finally, an illustrative example is given to verify the developed approach and to demonstrate its effectiveness.
American Psychological Association (APA)
Liu, Peide& Rong, Lili& Chu, Yanchang& Li, Yanwei. 2014. Intuitionistic Linguistic Weighted Bonferroni Mean Operator and Its Application to Multiple Attribute Decision Making. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1050072
Modern Language Association (MLA)
Liu, Peide…[et al.]. Intuitionistic Linguistic Weighted Bonferroni Mean Operator and Its Application to Multiple Attribute Decision Making. The Scientific World Journal No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1050072
American Medical Association (AMA)
Liu, Peide& Rong, Lili& Chu, Yanchang& Li, Yanwei. Intuitionistic Linguistic Weighted Bonferroni Mean Operator and Its Application to Multiple Attribute Decision Making. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1050072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050072