International Journal of Computational Intelligence Systems

Volume 3, Issue 5, October 2010, Pages 522 - 541

A Ranking Method of Triangular Intuitionistic Fuzzy Numbers and Application to Decision Making

Authors
Deng Feng Li, Juang Xia Nan, Mao Jun Zhang
Corresponding Author
Deng Feng Li
Received 14 September 2009, Accepted 22 April 2010, Available Online 1 October 2010.
DOI
10.2991/ijcis.2010.3.5.2How to use a DOI?
Keywords
Triangular intuitionistic fuzzy number, intuitionistic fuzzy set, ranking of triangular intuitionistic fuzzy numbers, multiattribute decision making.
Abstract

Ranking of triangular intuitionistic fuzzy numbers (TIFNs) is an important problem, which is solved by the value and ambiguity based ranking method developed in this paper. Firstly, the concept of TIFNs is introduced. Arithmetic operations and cut sets over TIFNs are investigated. Then, the values and ambiguities of the membership degree and the non-membership degree for TIFNs 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 TIFNs. 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.

Copyright
© 2010, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
3 - 5
Pages
522 - 541
Publication Date
2010/10/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2010.3.5.2How to use a DOI?
Copyright
© 2010, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Deng Feng Li
AU  - Juang Xia Nan
AU  - Mao Jun Zhang
PY  - 2010
DA  - 2010/10/01
TI  - A Ranking Method of Triangular Intuitionistic Fuzzy Numbers and Application to Decision Making
JO  - International Journal of Computational Intelligence Systems
SP  - 522
EP  - 541
VL  - 3
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2010.3.5.2
DO  - 10.2991/ijcis.2010.3.5.2
ID  - Li2010
ER  -