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Improved Intuitionistic Fuzzy Entropy and Its Application in the Evaluation of Regional Collaborative Innovation Capability

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  • Xumei Yuan

    (School of Economics and Management, Yanshan University, Qinhuangdao 066004, China)

  • Cuicui Zheng

    (School of Economics and Management, Yanshan University, Qinhuangdao 066004, China)

Abstract

Intuitionistic fuzzy entropy is an important concept to describe the uncertainty of intuitionistic fuzzy sets (IFSs). To fully measure the fuzziness of IFSs, this paper comprehensively considers the deviation between membership and non-membership and the influence of hesitation, constructs the general expression of intuitionistic fuzzy entropy based on special functions, and proves some of its major properties. Then, it is verified that some existing intuitionistic fuzzy entropies can be constructed by specific functions. Finally, based on a specific parametric intuitionistic fuzzy entropy, this paper applies it to evaluate the regional collaborative innovation capability, to verify the feasibility and practicability of the entropy. In addition, the effectiveness and practicability of this entropy in decision making are further illustrated by comparing it with other entropy measures.

Suggested Citation

  • Xumei Yuan & Cuicui Zheng, 2022. "Improved Intuitionistic Fuzzy Entropy and Its Application in the Evaluation of Regional Collaborative Innovation Capability," Sustainability, MDPI, vol. 14(5), pages 1-14, March.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:5:p:3129-:d:766013
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    References listed on IDEAS

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    1. Hassan Hashemi & Seyed Meysam Mousavi & Edmundas Kazimieras Zavadskas & Alireza Chalekaee & Zenonas Turskis, 2018. "A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem," Sustainability, MDPI, vol. 10(5), pages 1-19, May.
    2. Dengying Jiang & Yaxiong Wang, 2018. "A New Entropy and Its Properties Based on the Improved Axiomatic Definition of Intuitionistic Fuzzy Entropy," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-6, September.
    3. Hassan Hashemi & Parviz Ghoddousi & Farnad Nasirzadeh, 2021. "Sustainability Indicator Selection by a Novel Triangular Intuitionistic Fuzzy Decision-Making Approach in Highway Construction Projects," Sustainability, MDPI, vol. 13(3), pages 1-25, February.
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    Cited by:

    1. Keyan Zheng & Fagang Hu & Yaliu Yang, 2023. "Data-Driven Evaluation and Recommendations for Regional Synergy Innovation Capability," Sustainability, MDPI, vol. 15(14), pages 1-21, July.
    2. Jincang Yang & Xueqin Dong & Sishi Liu, 2022. "Safety Risks of Primary and Secondary Schools in China: A Systematic Analysis Using AHP–EWM Method," Sustainability, MDPI, vol. 14(13), pages 1-15, July.
    3. Yaliu Yang & Yuan Wang & Yingyan Zhang & Conghu Liu, 2022. "Data-Driven Coupling Coordination Development of Regional Innovation EROB Composite System: An Integrated Model Perspective," Mathematics, MDPI, vol. 10(13), pages 1-25, June.
    4. Huiping Chen, 2023. "Evaluation of Schools of University and Analysis of Obstacle Factors under the Background of High-Quality Development," Sustainability, MDPI, vol. 15(4), pages 1-14, February.

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