International Journal of Computational Intelligence Systems

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Volume 8, Issue 3, June 2015, Pages 591 - 605

An approach to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making based on prospect theory

Authors
Fanyong Meng, Chunqiao Tan, Xiaohong Chen
Corresponding Author
Fanyong Meng
Received 3 June 2014, Accepted 10 March 2015, Available Online 1 June 2015.
DOI
10.1080/18756891.2015.1036224How to use a DOI?
Keywords
multi-attribute decision making, prospect theory, Atanassov's interval-valued intuitionistic fuzzy set, Atanassov's interval-valued intuitionistic fuzzy prospect value
Abstract

Prospect theory is a very effective method to express behavioral decision making under uncertainty. This paper attempts to develop a method to multi-attribute decision making with Atanassov's interval-valued intuitionistic fuzzy information using prospect theory. This method first transforms Atanassov's interval-valued intuitionistic fuzzy variables into the prospect values using the value function in prospect theory. Based on the aspiration levels, Atanassov's intuitionistic fuzzy prospect gain and loss matrices are obtained. Then, using the Atanassov's interval-valued intuitionistic hybrid weight averaging (IVIHWA) operator or the Atanassov's interval-valued intuitionistic hybrid Shapley weight averaging (IVIHSWA) operator, the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect value of each alternative is calculated. According to the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect values, a ranking method of alternatives is presented. Finally, two illustrative examples are selected to show the feasibility and availability of the proposed method.

Copyright
© 2017, 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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<Previous Article In Issue
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
8 - 3
Pages
591 - 605
Publication Date
2015/06/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2015.1036224How to use a DOI?
Copyright
© 2017, 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

risenwbib
TY  - JOUR
AU  - Fanyong Meng
AU  - Chunqiao Tan
AU  - Xiaohong Chen
PY  - 2015
DA  - 2015/06/01
TI  - An approach to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making based on prospect theory
JO  - International Journal of Computational Intelligence Systems
SP  - 591
EP  - 605
VL  - 8
IS  - 3
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1036224
DO  - 10.1080/18756891.2015.1036224
ID  - Meng2015
ER  -