International Journal of Computational Intelligence Systems

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Volume 13, Issue 1, 2020, Pages 444 - 463

A Novel Pythagorean Fuzzy LINMAP-Based Compromising Approach for Multiple Criteria Group Decision-Making with Preference Over Alternatives

Authors
Jih-Chang Wang1, Ting-Yu Chen2, *
1Department of Information Management, Chang Gung University, No. 259, Wenhua 1st Road., Guishan District, Taoyuan City 33302, Taiwan
2Department of Industrial and Business Management, Chang Gung University, Graduate Institute of Business and Management, Chang Gung University, Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Road., Guishan District, Taoyuan City 33302, Taiwan
*Corresponding author. Email: tychen@mail.cgu.edu.tw
Corresponding Author
Ting-Yu Chen
Received 21 August 2019, Accepted 4 April 2020, Available Online 23 April 2020.
DOI
10.2991/ijcis.d.200408.001How to use a DOI?
Keywords
Compromising approach; Group decision-making; Pythagorean fuzzy set; LINMAP; Dominance measure
Abstract

This paper presents a new compromising approach to multiple criteria group decision-making (MCGDM) for the treatment of uncertainty which is based on Pythagorean fuzzy (PF) sets. The present work intends to propose a novel linear programming technique for multidimensional analysis of preference (LINMAP) by way of some useful concepts related to PF dominance relations, individual consistency and inconsistency levels, and individual fit measurements. The concept of PF scalar function-based dominance measures is defined to conduct intracriterion comparisons concerning uncertain evaluation information based on Pythagorean fuzziness; moreover, several valuable properties are also investigated to demonstrate its effectiveness. For the assessment of overall dominance of alternatives, this paper provides a synthetic index, named a comprehensive dominance measure, which is the aggregation of the weighted dominance measures by combining unknown weight information and PF dominance measures of various criteria. For each decision-maker, this paper employs the proposed measures to evaluate the individual levels of rank consistency and rank inconsistency regarding the obtained overall dominance relations and the decision-maker's preference comparisons over paired alternatives. In the framework of individual fit measurements, this paper constructs bi-objective mathematical programming models and then provides their corresponding parametric linear programming models for generating the best compromise alternative. Realistic applications with some comparative analyses concerning railway project investment are implemented to demonstrate the appropriateness and usefulness of the proposed methodology in addressing actual MCGDM problems.

Copyright
© 2020 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/).

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<Previous Article In Issue
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
13 - 1
Pages
444 - 463
Publication Date
2020/04/23
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.200408.001How to use a DOI?
Copyright
© 2020 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

risenwbib
TY  - JOUR
AU  - Jih-Chang Wang
AU  - Ting-Yu Chen
PY  - 2020
DA  - 2020/04/23
TI  - A Novel Pythagorean Fuzzy LINMAP-Based Compromising Approach for Multiple Criteria Group Decision-Making with Preference Over Alternatives
JO  - International Journal of Computational Intelligence Systems
SP  - 444
EP  - 463
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.200408.001
DO  - 10.2991/ijcis.d.200408.001
ID  - Wang2020
ER  -