Research Article
Open Access
CRITIC-EDAS Method for Linguistic Picture Fuzzy Soft Sets and Its Application in Decision Making Problem
1
Faculty of Science and Engineering, University of Information Technology and Sciences, Dhaka 1212, Bangladesh
2
Department of Computer Science and Engineering, Military Institute of Science and Technology, Dhaka 1216, Bangladesh
Corresponding Author:
Md. Yasin Ali,
[email protected]
Volume 2, Issue 1
2026
Received: 13 January 2026
Accepted: 16 February 2026
Published: 16 March 2026
Article Information
Abstract
Linguistic picture fuzzy soft sets (LPFSSs) provide a powerful tool for handling uncertainties in decision-making problems, particularly when multiple parameters are involved. By integrating the advantages of linguistic picture fuzzy sets (LPFSs) and soft sets (SSs), LPFSSs prove especially effective in situations involving imprecise and ambiguous information. This study extends the conventional CRITIC (Criteria Importance Through Inter-criteria Correlation) and EDAS (Evaluation based on Distance from Average Solution) methods to the LPFSS environment. First, the definitions of LPFSSs and linguistic picture fuzzy soft numbers (LPFSNs) are introduced along with their key properties. Subsequently, a CRITIC-EDAS framework is developed under the linguistic picture fuzzy soft setting. Finally, a numerical example concerning the selection of the most suitable organic fertilizer is presented to illustrate the effectiveness of the proposed approach.
Graphical Abstract
Keywords
linguistic picture fuzzy set
linguistic picture fuzzy soft set
CRITIC method
EDAS method
Data Availability Statement
Data will be made available on request.
Funding
This work was supported without any funding.
Conflicts of Interest
The authors declare no conflicts of interest.
AI Use Statement
The authors declare that no generative AI was used in the preparation of this manuscript.
Ethical Approval and Consent to Participate
Not applicable.
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APA Style
Ali, M. Y., & Islam, M. A. (2026). CRITIC-EDAS Method for Linguistic Picture Fuzzy Soft Sets and Its Application in Decision Making Problem. ICCK Journal of Applied Mathematics, 2(1), 111–119. https://doi.org/10.62762/JAM.2026.193939
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TY - JOUR AU - Ali, Md. Yasin AU - Islam, Md. Ashraful PY - 2026 DA - 2026/03/16 TI - CRITIC-EDAS Method for Linguistic Picture Fuzzy Soft Sets and Its Application in Decision Making Problem JO - ICCK Journal of Applied Mathematics T2 - ICCK Journal of Applied Mathematics JF - ICCK Journal of Applied Mathematics VL - 2 IS - 1 SP - 111 EP - 119 DO - 10.62762/JAM.2026.193939 UR - https://www.icck.org/article/abs/JAM.2026.193939 KW - linguistic picture fuzzy set KW - linguistic picture fuzzy soft set KW - CRITIC method KW - EDAS method AB - Linguistic picture fuzzy soft sets (LPFSSs) provide a powerful tool for handling uncertainties in decision-making problems, particularly when multiple parameters are involved. By integrating the advantages of linguistic picture fuzzy sets (LPFSs) and soft sets (SSs), LPFSSs prove especially effective in situations involving imprecise and ambiguous information. This study extends the conventional CRITIC (Criteria Importance Through Inter-criteria Correlation) and EDAS (Evaluation based on Distance from Average Solution) methods to the LPFSS environment. First, the definitions of LPFSSs and linguistic picture fuzzy soft numbers (LPFSNs) are introduced along with their key properties. Subsequently, a CRITIC-EDAS framework is developed under the linguistic picture fuzzy soft setting. Finally, a numerical example concerning the selection of the most suitable organic fertilizer is presented to illustrate the effectiveness of the proposed approach. SN - 3068-5656 PB - Institute of Central Computation and Knowledge LA - English ER -
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@article{Ali2026CRITICEDAS,
author = {Md. Yasin Ali and Md. Ashraful Islam},
title = {CRITIC-EDAS Method for Linguistic Picture Fuzzy Soft Sets and Its Application in Decision Making Problem},
journal = {ICCK Journal of Applied Mathematics},
year = {2026},
volume = {2},
number = {1},
pages = {111-119},
doi = {10.62762/JAM.2026.193939},
url = {https://www.icck.org/article/abs/JAM.2026.193939},
abstract = {Linguistic picture fuzzy soft sets (LPFSSs) provide a powerful tool for handling uncertainties in decision-making problems, particularly when multiple parameters are involved. By integrating the advantages of linguistic picture fuzzy sets (LPFSs) and soft sets (SSs), LPFSSs prove especially effective in situations involving imprecise and ambiguous information. This study extends the conventional CRITIC (Criteria Importance Through Inter-criteria Correlation) and EDAS (Evaluation based on Distance from Average Solution) methods to the LPFSS environment. First, the definitions of LPFSSs and linguistic picture fuzzy soft numbers (LPFSNs) are introduced along with their key properties. Subsequently, a CRITIC-EDAS framework is developed under the linguistic picture fuzzy soft setting. Finally, a numerical example concerning the selection of the most suitable organic fertilizer is presented to illustrate the effectiveness of the proposed approach.},
keywords = {linguistic picture fuzzy set, linguistic picture fuzzy soft set, CRITIC method, EDAS method},
issn = {3068-5656},
publisher = {Institute of Central Computation and Knowledge}
}
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