Algorithm Research & Explore
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2939-2944

Multi-granular intuitionistic linguistic TODIM method based on relative entropy and binary entropy

Guo Fengjia1
Gao Jianwei2
Chen Wei1
1. School of Management & Engineering, Capital University of Economics & Business, Beijing 100070, China
2. School of Economics & Mana-gement, North China Electric Power University, Beijing 102206, China

Abstract

To solve the decision problem in which the evaluations are multi-granular intuitionistic linguistic sets, this paper proposed a TODIM method based on relative entropy and binary entropy. Firstly, this method defined relative entropy and binary entropy of the intuitionistic linguistic sets to measure the difference and uncertainty of decision information. Secondly, it built an expert weighting model on the basis of relative entropy and binary entropy, and proposed attribute weighting models under the scenarios where the subjective weight was completely known, partially known and completely unknown. Finally, in order to gather the information of multi-granularity group decision information, this paper developed a multi-granular intuitio-nistic linguistic weighted arithmetic average(MIL-WAA) operator. The example analysis shows that this method can better measure the uncertainty and difference of decision information, and it considers the limited rationality behavior of decision-makers, so it is reasonable and effective.

Foundation Support

国家自然科学基金资助项目(72071134,72071076)
北京市属高校高水平科研创新团队建设支持计划资助项目(BPHR20220120)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2023.02.0059
Publish at: Application Research of Computers Printed Article, Vol. 40, 2023 No. 10
Section: Algorithm Research & Explore
Pages: 2939-2944
Serial Number: 1001-3695(2023)10-009-2939-06

Publish History

[2023-05-04] Accepted Paper
[2023-10-05] Printed Article

Cite This Article

郭奉佳, 高建伟, 陈炜. 基于相对熵和二元熵的多粒度直觉语言TODIM决策方法 [J]. 计算机应用研究, 2023, 40 (10): 2939-2944. (Guo Fengjia, Gao Jianwei, Chen Wei. Multi-granular intuitionistic linguistic TODIM method based on relative entropy and binary entropy [J]. Application Research of Computers, 2023, 40 (10): 2939-2944. )

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.

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