# International Journal of Computational Intelligence Systems

Volume 12, Issue 2, 2019, Pages 955 - 969

# A Novel Distance Measure for Pythagorean Fuzzy Sets and its Applications to the Technique for Order Preference by Similarity to Ideal Solutions

Authors
Fang Zhou1, Ting-Yu Chen2, 3, 4, *
1Graduate Institute of Business and Management, Chang Gung University, Department of Economic and Management, Suzhou Vocational Institute of Industrial Technology, No.1, Zhineng Avenue, Suzhou City, 215104, China
2Graduate Institute of Business and Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan
3Department of Industrial and Business Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan
4Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan
*Corresponding author. Email: tychen@mail.cgu.edu.tw
Corresponding Author
Ting-Yu Chen
Received 25 May 2019, Accepted 19 August 2019, Available Online 9 September 2019.
DOI
10.2991/ijcis.d.190820.001How to use a DOI?
Keywords
Pythagorean fuzzy set; Multicriteria decision-making (MCDM); Distance measure; Technique for order preference by similarity to ideal solutions (TOPSIS)
Abstract

Ever since the introduction of Pythagorean fuzzy (PF) sets, many scholars have focused on solving multicriteria decision-making (MCDM) problems with PF information. The technique for order preference by similarity to ideal solutions (TOPSIS) is a well-known and effective method for MCDM problems. The objective of this study is to extend the TOPSIS to tackle MCDM problems under the PF environment. In this study, we develop a novel distance measure that considers the length, the angle, and the greater space, which reflect the properties of PF sets. Then, we apply the proposed distance measure in PF-TOPSIS to calculate the distances from the PF positive ideal solution and the PF negative ideal solution. Finally, we take the evaluation of emerging technology commercialization as an MCDM problem to illustrate the proposed approaches, and we then compare these approaches to demonstrate the scalar type PF-TOPSIS is the most feasible and effective approach in practice.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
955 - 969
Publication Date
2019/09/09
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.190820.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

### Cite this article

TY  - JOUR
AU  - Fang Zhou
AU  - Ting-Yu Chen
PY  - 2019
DA  - 2019/09/09
TI  - A Novel Distance Measure for Pythagorean Fuzzy Sets and its Applications to the Technique for Order Preference by Similarity to Ideal Solutions
JO  - International Journal of Computational Intelligence Systems
SP  - 955
EP  - 969
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.190820.001
DO  - 10.2991/ijcis.d.190820.001
ID  - Zhou2019
ER  -