IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i4p340-d221216.html
   My bibliography  Save this article

Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications

Author

Listed:
  • Ping Wang

    (Institute of Technology, Sichuan Normal University, Chengdu 610101, China)

  • Jie Wang

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Guiwu Wei

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Cun Wei

    (School of Business, Sichuan Normal University, Chengdu 610101, China
    School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China)

Abstract

In this article, we propose another form of ten similarity measures by considering the function of membership degree, non-membership degree, and indeterminacy membership degree between the q-ROFSs on the basis of the traditional cosine similarity measures and cotangent similarity measures. Then, we utilize our presented ten similarity measures and ten weighted similarity measures between q-ROFSs to deal with multiple attribute decision-making (MADM) problems including pattern recognition and scheme selection. Finally, two numerical examples are provided to illustrate the scientific and effective of the similarity measures for pattern recognition and scheme selection.

Suggested Citation

  • Ping Wang & Jie Wang & Guiwu Wei & Cun Wei, 2019. "Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications," Mathematics, MDPI, vol. 7(4), pages 1-23, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:340-:d:221216
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/4/340/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/4/340/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wei Yang & Jiarong Shi & Yong Liu & Yongfeng Pang & Ruiyue Lin, 2018. "Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making," Complexity, Hindawi, vol. 2018, pages 1-25, November.
    2. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 2.
    3. Chao Zhang & Deyu Li & Yimin Mu & Dong Song, 2018. "A Pythagorean Fuzzy Multigranulation Probabilistic Model for Mine Ventilator Fault Diagnosis," Complexity, Hindawi, vol. 2018, pages 1-19, October.
    4. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 4.
    5. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 3.
    6. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 1.
    7. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 4.
    8. Yuqi Zang & Xiaodong Zhao & Shiyong Li & Adnan Nazir, 2018. "Grey Relational Bidirectional Projection Method for Multicriteria Decision Making with Hesitant Intuitionistic Fuzzy Linguistic Information," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-12, April.
    9. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 3.
    10. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 2.
    11. Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tian Chen & Shiyao Li & Chun-Ming Yang & Wenting Deng, 2022. "Developing an Enterprise Diagnostic Index System Based on Interval-Valued Hesitant Fuzzy Clustering," Mathematics, MDPI, vol. 10(14), pages 1-22, July.
    2. Li Li & Hegong Lei & Jun Wang, 2020. "Q -Rung Probabilistic Dual Hesitant Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(9), pages 1-34, September.
    3. Yige Xue & Yong Deng, 2020. "Refined Expected Value Decision Rules under Orthopair Fuzzy Environment," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    4. Zaoli Yang & Xin Li & Zehong Cao & Jinqiu Li, 2019. "Q-rung Orthopair Normal Fuzzy Aggregation Operators and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 7(12), pages 1-26, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mei Tang & Jie Wang & Jianping Lu & Guiwu Wei & Cun Wei & Yu Wei, 2019. "Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 7(4), pages 1-27, April.
    2. Harish Garg & Jeonghwan Gwak & Tahir Mahmood & Zeeshan Ali, 2020. "Power Aggregation Operators and VIKOR Methods for Complex q-Rung Orthopair Fuzzy Sets and Their Applications," Mathematics, MDPI, vol. 8(4), pages 1-34, April.
    3. Kritana Prueksakorn & Cheng-Xu Piao & Hyunchul Ha & Taehyeung Kim, 2015. "Computational and Experimental Investigation for an Optimal Design of Industrial Windows to Allow Natural Ventilation during Wind-Driven Rain," Sustainability, MDPI, vol. 7(8), pages 1-22, August.
    4. Hualin Xie & Jinlang Zou & Hailing Jiang & Ning Zhang & Yongrok Choi, 2014. "Spatiotemporal Pattern and Driving Forces of Arable Land-Use Intensity in China: Toward Sustainable Land Management Using Emergy Analysis," Sustainability, MDPI, vol. 6(6), pages 1-17, May.
    5. Stephan E. Maurer & Andrei V. Potlogea, 2021. "Male‐biased Demand Shocks and Women's Labour Force Participation: Evidence from Large Oil Field Discoveries," Economica, London School of Economics and Political Science, vol. 88(349), pages 167-188, January.
    6. Tie Hua Zhou & Ling Wang & Keun Ho Ryu, 2015. "Supporting Keyword Search for Image Retrieval with Integration of Probabilistic Annotation," Sustainability, MDPI, vol. 7(5), pages 1-18, May.
    7. T. Karski, 2019. "Opinions and Controversies in Problem of The So-Called Idiopathic Scoliosis. Information About Etiology, New Classification and New Therapy," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 12(5), pages 9612-9616, January.
    8. Sung-Won Park & Sung-Yong Son, 2017. "Cost Analysis for a Hybrid Advanced Metering Infrastructure in Korea," Energies, MDPI, vol. 10(9), pages 1-18, September.
    9. Wesley Mendes-da-Silva, 2020. "What Makes an Article be More Cited?," RAC - Revista de Administração Contemporânea (Journal of Contemporary Administration), ANPAD - Associação Nacional de Pós-Graduação e Pesquisa em Administração, vol. 24(6), pages 507-513.
    10. Martin Valtierra-Rodriguez & Juan Pablo Amezquita-Sanchez & Arturo Garcia-Perez & David Camarena-Martinez, 2019. "Complete Ensemble Empirical Mode Decomposition on FPGA for Condition Monitoring of Broken Bars in Induction Motors," Mathematics, MDPI, vol. 7(9), pages 1-19, August.
    11. Akca Yasar & Gokhan Ozer, 2016. "Determination the Factors that Affect the Use of Enterprise Resource Planning Information System through Technology Acceptance Model," International Journal of Business and Management, Canadian Center of Science and Education, vol. 11(10), pages 1-91, September.
    12. Julián Miranda & Angélica Flórez & Gustavo Ospina & Ciro Gamboa & Carlos Flórez & Miguel Altuve, 2020. "Proposal for a System Model for Offline Seismic Event Detection in Colombia," Future Internet, MDPI, vol. 12(12), pages 1-17, December.
    13. Wisdom Akpalu & Mintewab Bezabih, 2015. "Tenure Insecurity, Climate Variability and Renting out Decisions among Female Small-Holder Farmers in Ethiopia," Sustainability, MDPI, vol. 7(6), pages 1-16, June.
    14. Wei Chen & Shu-Yu Liu & Chih-Han Chen & Yi-Shan Lee, 2011. "Bounded Memory, Inertia, Sampling and Weighting Model for Market Entry Games," Games, MDPI, vol. 2(1), pages 1-13, March.
    15. David Harborth & Sebastian Pape, 2020. "Empirically Investigating Extraneous Influences on the “APCO” Model—Childhood Brand Nostalgia and the Positivity Bias," Future Internet, MDPI, vol. 12(12), pages 1-16, December.
    16. Peterson, Willis L., 1973. "Publication Productivities Of U.S. Economics Department Graduates," Staff Papers 14105, University of Minnesota, Department of Applied Economics.
    17. Taeyeoun Roh & Yujin Jeong & Byungun Yoon, 2017. "Developing a Methodology of Structuring and Layering Technological Information in Patent Documents through Natural Language Processing," Sustainability, MDPI, vol. 9(11), pages 1-19, November.
    18. He-Yau Kang & Amy H. I. Lee & Tzu-Ting Huang, 2016. "Project Management for a Wind Turbine Construction by Applying Fuzzy Multiple Objective Linear Programming Models," Energies, MDPI, vol. 9(12), pages 1-15, December.
    19. Vasilyeva, Olga, 2021. "Agro-food clusters in the Republic of Kazakhstan: assessment and prospects of development," Economic Consultant, Roman I. Ostapenko, vol. 34(2), pages 13-20.
    20. Chris Lytridis & Anna Lekova & Christos Bazinas & Michail Manios & Vassilis G. Kaburlasos, 2020. "WINkNN: Windowed Intervals’ Number kNN Classifier for Efficient Time-Series Applications," Mathematics, MDPI, vol. 8(3), pages 1-14, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:340-:d:221216. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.