A Value and Ambiguity-Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Decision Making
Joint Authors
Li, Deng-Feng
Zeng, Xiang-tian
Yu, Gao-feng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The aim of this paper is to develop a method for ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) in the process of decision making in the intuitionistic fuzzy environment.
Firstly, the concept of TrIFNs is introduced.
Arithmetic operations and cut sets over TrIFNs are investigated.
Then, the values and ambiguities of the membership degree and the nonmembership degree for TrIFNs are defined as well as the value-index and ambiguity-index.
Finally, a value and ambiguity-based ranking method is developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed using TrIFNs.
A numerical example is examined to demonstrate the implementation process and applicability of the method proposed in this paper.
Furthermore, comparison analysis of the proposed method is conducted to show its advantages over other similar methods.
American Psychological Association (APA)
Zeng, Xiang-tian& Li, Deng-Feng& Yu, Gao-feng. 2014. A Value and Ambiguity-Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Decision Making. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1050098
Modern Language Association (MLA)
Zeng, Xiang-tian…[et al.]. A Value and Ambiguity-Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Decision Making. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1050098
American Medical Association (AMA)
Zeng, Xiang-tian& Li, Deng-Feng& Yu, Gao-feng. A Value and Ambiguity-Based Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Decision Making. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1050098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050098