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Algorithm Research & Explore
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493-500

Interval-valued Fermatean fuzzy multi-attribute group decision-making method based on GRA-GCRITIC and improved weighted bidirectional projection

Zhao Jinghua1
Shi Jia1
Rong Haiying1
Lin Jie2
1. School of Management, University of Shanghai for Science & Technology, Shanghai 200093, China
2. School of Economics & Management, Tongji University, Shanghai 200092, China

Abstract

Aiming at the complexity of the judicial case decision-making environment and the fuzziness of evaluation information, this paper proposed an interval-valued Fermatean fuzzy Hamacher-TODIM multi-attribute group decision-making method based on GRA-GCRITIC and improved weighted bidirectional projection. Firstly, considering the differences in evaluation information of each index under each evaluation scheme by experts, this paper proposed a GRA-GCRITIC method, which integrated grey relation into CRITIC to determine the comprehensive weight of indicators more objectively and reliably than obtaining a single indicator weight. Secondly, considering the subjective and objective relationship, this paper used the trust relationship to improve the weighted bidirectional projection method. The approach utilized the similarity between the membership and non-membership degree matrices of expert individual and group evaluation information to obtain expert weights. Finally, considering the decision-maker's loss aversion psychology, this paper extended the TODIM method, which incorporated the Hamacher operator, to an interval-valued Fermatean fuzzy environment. And a specific case used this method to obtain the comprehensive advantage and ranking. It verifies the feasibility and flexibility of the proposed method.

Foundation Support

国家自然科学基金资助项目(72201173)
上海市“科技创新行动计划”软科学研究项目(22692108400)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2023.05.0233
Publish at: Application Research of Computers Printed Article, Vol. 41, 2024 No. 2
Section: Algorithm Research & Explore
Pages: 493-500
Serial Number: 1001-3695(2024)02-026-0493-08

Publish History

[2023-08-03] Accepted Paper
[2024-02-05] Printed Article

Cite This Article

赵敬华, 施佳, 荣海迎, 等. 基于GRA-GCRITIC和改进加权双向投影的区间Fermatean模糊多属性群决策方法 [J]. 计算机应用研究, 2024, 41 (2): 493-500. (Zhao Jinghua, Shi Jia, Rong Haiying, et al. Interval-valued Fermatean fuzzy multi-attribute group decision-making method based on GRA-GCRITIC and improved weighted bidirectional projection [J]. Application Research of Computers, 2024, 41 (2): 493-500. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.


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