International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 1091 - 1110

Interval-valued Pythagorean Fuzzy Frank Power Aggregation Operators based on An Isomorphic Frank Dual Triple

Authors
Yi Yang2, 3, yangshijiazu@my.swjtu.edu.cn, Zhen-Song Chen1, 3, *, zschen@whu.edu.cn, Yue-Hua Chen1, yuhchen@whu.edu.cn, Kwai-Sang Chin3, mekschin@cityu.edu.hk
1School of Civil Engineering, Wuhan University, Wuhan 430072, China
2Institute of Big Data and Internet Innovation, Key Laboratory of Hunan Province for New Retail Virtual, Reality Technology, Hunan University of Commerce, Changsha 410205, China
3Department of Systems Engineering and Engineering Management, City University of Hong Kong, Kowloon Tong, Hong Kong, China
*Corresponding author.
Corresponding Author
Zhen-Song Chenzschen@whu.edu.cn
Received 12 March 2018, Accepted 23 May 2018, Available Online 7 June 2018.
DOI
10.2991/ijcis.11.1.83How to use a DOI?
Keywords
Interval-valued Pythagorean fuzzy numbers; Frank dual triple; Frank power operators
Abstract

Interval-valued Pythagorean fuzzy sets (PFSs), as an extension of PFSs, have strong potential in the management of complex uncertainty in real-world applications. This study aims to develop several interval-valued Pythagorean fuzzy Frank power (IVPFFP) aggregation operators with an adjustable parameter via the integration of an isomorphic Frank dual triple. First, a special automorphism on unit interval is introduced to construct an isomorphic Frank dual triple; and this triple is further applied on the definition of interval-valued Pythagorean fuzzy Frank operational laws. Second, two IVPFFP aggregation operators with the inclusion of an adjustable parameter are defined on the basis of the proposed operational laws, and several instrumental properties are then investigated. Furthermore, some limiting cases of the proposed IVPFFP operators are analyzed with respect to the varying adjustable parameter values. Finally, an IVPFFP aggregation operator-based multiple attribute group decision-making model is developed with a practical example furnished to demonstrate its feasibility and efficiency. The power that the adjustable parameter exhibits has been leveraged to affect the final decision results, and the proposed IVPFFP operators are compared with three selected aggregation operators to demonstrate their advantages provided with a practical example.

Copyright
© 2018 Yang et al.
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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<Previous Article In Issue
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
1091 - 1110
Publication Date
2018/06/07
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.83How to use a DOI?
Copyright
© 2018 Yang et al.
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

risenwbib
TY  - JOUR
AU  - Yi Yang
AU  - Zhen-Song Chen
AU  - Yue-Hua Chen
AU  - Kwai-Sang Chin
PY  - 2018
DA  - 2018/06/07
TI  - Interval-valued Pythagorean Fuzzy Frank Power Aggregation Operators based on An Isomorphic Frank Dual Triple
JO  - International Journal of Computational Intelligence Systems
SP  - 1091
EP  - 1110
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.83
DO  - 10.2991/ijcis.11.1.83
ID  - Yang2018
ER  -