International Journal of Computational Intelligence Systems

Volume 11, Issue 1, 2018, Pages 911 - 924

Multiple Criteria Decision Analysis Using Correlation-Based Precedence Indices Within Pythagorean Fuzzy Uncertain Environments

Authors
Jih-Chang Wang1, qpo@mail.cgu.edu.tw, Ting-Yu Chen2, 3, 4, *, tychen@mail.cgu.edu.tw
1Department of Information Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan
2Graduate Institute of Business and Management, Chang Gung University
3Department of Industrial and Business Management, Chang Gung University
4Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan
Corresponding Author
Received 20 December 2017, Accepted 24 March 2018, Available Online 9 April 2018.
DOI
10.2991/ijcis.11.1.69How to use a DOI?
Keywords
Pythagorean fuzzy set; correlation-based precedence index; multiple criteria decision analysis; discordance indicator; comprehensive discordance index; assignment model
Abstract

The theory of Pythagorean fuzzy sets possesses significant advantages in handling vagueness and complex uncertainty. Additionally, Pythagorean fuzzy information is useful to simulate the ambiguous nature of subjective judgments and measure the fuzziness and imprecision more flexibly. The aim of this research is to develop an effective assignment-based method using a novel concept of correlation-based precedence indices for conducting multiple criteria decision analysis within the Pythagorean fuzzy uncertain environment. Based on the ideas of information energy and correlations, this paper defines a novel concept of correlation-based precedence indices in the Pythagorean fuzzy context and discusses their desirable properties. Next, this paper presents some useful concepts of discordance indicators, weighted discordance indicators, comprehensive discordance indicators, and comprehensive discordance indices to construct a novel assignment model for acquiring a comprehensive ranking of candidate alternatives. As an application of the proposed assignment-based method, a practical example concerning a financing decision of working capital policies is provided to demonstrate its practicality and effectiveness.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
911 - 924
Publication Date
2018/04/09
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.69How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Jih-Chang Wang
AU  - Ting-Yu Chen
PY  - 2018
DA  - 2018/04/09
TI  - Multiple Criteria Decision Analysis Using Correlation-Based Precedence Indices Within Pythagorean Fuzzy Uncertain Environments
JO  - International Journal of Computational Intelligence Systems
SP  - 911
EP  - 924
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.69
DO  - 10.2991/ijcis.11.1.69
ID  - Wang2018
ER  -