In accordance with regulations and requirements, the editorial department's website domain has been changed to arocmag.cn. The original domain (arocmag.com) will be discontinued after Dec. 31st, 2024.
See More
Algorithm Research & Explore
|
App. Res. of Comp. Printed Article
Vol. 37, 2020 No. 12
3627-3634

New distance between intuitionistic fuzzy sets and its applications in decision-making

Xu Changlina,b,c
Shen Juhonga,b,c
a. Key Laboratory of Intelligent Information & Big Data Processing of Ningxia Province, b. School of Mathematics & Information Sciences, c. Health Big Data Research Institute, North Minzu University, Yinchuan 750021, China
DOI: 10.19734/j.issn.1001-3695.2019.09.0545

Abstract

This paper firstly analyzed the drawbacks of the existing distance measures between intuitionistic fuzzy sets in detail, which was based on whether the distance measures between intuitionistic fuzzy sets contained the membership degree, non-membership degree and hesitation degree, and whether the distance measures between intuitionistic fuzzy sets satisfied the conditions of the distance metric. In view of the fact, it directly introduced the hesitation degree into the distances of intui-tionistic fuzzy sets in the existing distance measures, which led to inconsistency. Then on the base of these, this paper proposed a new distance measure between intuitionistic fuzzy sets. The new method not only considered the membership degree information and the non-membership degree information, but also considered the assignments of the hesitation degree to membership degree and non-membership degree. Thereby, it indirectly introduced the degree of hesitation into the new distance. Secondly, it analyzed and proved some properties of the proposed distance, and compared with the existing methods to illustrate its reasonability based on some practical examples. Finally, it further illustrated the effectiveness and feasibility of the proposed method by the multi-criteria fuzzy decision-making.

Foundation Support

宁夏高等学校科学研究资助项目(NGY2020067)
宁夏自然科学基金资助项目(2018AAC03253,2020AAC03217)
北方民族大学校级一般科研项目(2020XYZSX01)
国家自然科学基金资助项目(61662001)
北方民族大学重大专项资助项目(ZDZX201801,ZDZX201804)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2019.09.0545
Publish at: Application Research of Computers Printed Article, Vol. 37, 2020 No. 12
Section: Algorithm Research & Explore
Pages: 3627-3634
Serial Number: 1001-3695(2020)12-022-3627-08

Publish History

[2020-12-05] Printed Article

Cite This Article

许昌林, 沈菊红. 一种新的直觉模糊集距离及其在决策中的应用 [J]. 计算机应用研究, 2020, 37 (12): 3627-3634. (Xu Changlin, Shen Juhong. New distance between intuitionistic fuzzy sets and its applications in decision-making [J]. Application Research of Computers, 2020, 37 (12): 3627-3634. )

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.

Indexed & Evaluation

  • The Second National Periodical Award 100 Key Journals
  • Double Effect Journal of China Journal Formation
  • the Core Journal of China (Peking University 2023 Edition)
  • the Core Journal for Science
  • Chinese Science Citation Database (CSCD) Source Journals
  • RCCSE Chinese Core Academic Journals
  • Journal of China Computer Federation
  • 2020-2022 The World Journal Clout Index (WJCI) Report of Scientific and Technological Periodicals
  • Full-text Source Journal of China Science and Technology Periodicals Database
  • Source Journal of China Academic Journals Comprehensive Evaluation Database
  • Source Journals of China Academic Journals (CD-ROM Version), China Journal Network
  • 2017-2019 China Outstanding Academic Journals with International Influence (Natural Science and Engineering Technology)
  • Source Journal of Top Academic Papers (F5000) Program of China's Excellent Science and Technology Journals
  • Source Journal of China Engineering Technology Electronic Information Network and Electronic Technology Literature Database
  • Source Journal of British Science Digest (INSPEC)
  • Japan Science and Technology Agency (JST) Source Journal
  • Russian Journal of Abstracts (AJ, VINITI) Source Journals
  • Full-text Journal of EBSCO, USA
  • Cambridge Scientific Abstracts (Natural Sciences) (CSA(NS)) core journals
  • Poland Copernicus Index (IC)
  • Ulrichsweb (USA)