• 中国精品科技期刊
  • CCF推荐A类中文期刊
  • 计算领域高质量科技期刊T1类
Advanced Search
Liu Wen, Mi Jusheng, Sun Yan. Axiomatic Characterization of New Hesitant Fuzzy Rough Approximation Operators[J]. Journal of Computer Research and Development, 2021, 58(9): 2062-2070. DOI: 10.7544/issn1000-1239.2021.20200517
Citation: Liu Wen, Mi Jusheng, Sun Yan. Axiomatic Characterization of New Hesitant Fuzzy Rough Approximation Operators[J]. Journal of Computer Research and Development, 2021, 58(9): 2062-2070. DOI: 10.7544/issn1000-1239.2021.20200517

Axiomatic Characterization of New Hesitant Fuzzy Rough Approximation Operators

Funds: This work was supported by the National Natural Science Foundation of China (62076088, 61502144), the Natural Science Foundation of Hebei Province (F2018205196, F2019205295), the Natural Science Foundation of Higher Education Institutions of Hebei Province (BJ2019014), the Postdoctoral Advanced Programs of Hebei Province (B2016003013), and the Training Funds for 333 Talents Project in Hebei Province (A2017002112).
More Information
  • Published Date: August 31, 2021
  • In order to reveal the deeper essential characteristics of hesitant fuzzy rough approximation operators and further study the relationship between hesitant fuzzy rough approximation spaces and hesitant fuzzy topological spaces, it is of great significance to study the axiomatic characterizations of hesitant fuzzy rough approximation operators. In most of the existing results, the axioms used to describe hesitant fuzzy approximation operators contain multiple axioms. Since the axiomatic characterization of approximation operator is a key method in the research of the mathematical structure of rough set theory, it is a fundamental problem in axiomatic method to find the minimum set of abstract axioms. In view of the above problems, this paper focuses on the study of characterization by using single axiom. The number of axioms in the axiom set is simplified to unique axiom for the first time, and a new axiom description is proposed. First of all, the axiomatic characterizations of classical hesitant fuzzy rough approximation operators are given. Then, we study the problem of the axiomatization of hesitant fuzzy rough approximation operators generated by serial, reflexive, symmetric, transitive and equivalent hesitant fuzzy relations, respectively. Finally, it is proved that the hesitant fuzzy rough approximation space can induce a hesitant fuzzy topological space.
  • Related Articles

    [1]Yuan Zhong, Chen Hongmei, Wang Zhihong, Li Tianrui. Exploiting Hybrid Kernel-Based Fuzzy Complementary Mutual Information for Selecting Features[J]. Journal of Computer Research and Development, 2023, 60(5): 1111-1120. DOI: 10.7544/issn1000-1239.202111272
    [2]Zhang Chao, Li Deyu. Interval-Valued Hesitant Fuzzy Graphs Decision Making with Correlations and Prioritization Relationships[J]. Journal of Computer Research and Development, 2019, 56(11): 2438-2447. DOI: 10.7544/issn1000-1239.2019.20180314
    [3]Wei Songjie, Wu Chao, Luo Na, Zhang Gongxuan. Traffic Latency Characterization and Fingerprinting in Mobile Cellular Networks[J]. Journal of Computer Research and Development, 2019, 56(2): 363-374. DOI: 10.7544/issn1000-1239.2019.20170501
    [4]Yao Sheng, Xu Feng, Zhao Peng, Ji Xia. Intuitionistic Fuzzy Entropy Feature Selection Algorithm Based on Adaptive Neighborhood Space Rough Set Model[J]. Journal of Computer Research and Development, 2018, 55(4): 802-814. DOI: 10.7544/issn1000-1239.2018.20160919
    [5]Zhang Zhiyuan, Zhou Yufeng, Liu Li, Yang Guangwen. Performance Characterization and Efficient Parallelization of MASNUM Wave Model[J]. Journal of Computer Research and Development, 2015, 52(4): 851-860. DOI: 10.7544/issn1000-1239.2015.20131415
    [6]Wu Weizhi, Mi Jusheng, Li Tongjun. Rough Approximation Spaces and Belief Structures in Infinite Universes of Discourse[J]. Journal of Computer Research and Development, 2012, 49(2): 327-336.
    [7]Lü Shuai, Liu Lei, Li Ying, and Shi Lian. Conformant Planning as Modal Logic Axiomatic System D[J]. Journal of Computer Research and Development, 2009, 46(7): 1160-1168.
    [8]Liu Wanwei, Wang Ji, and Chen Huowang. A Game-Based Axiomatization of μ-Calculus[J]. Journal of Computer Research and Development, 2007, 44(11): 1896-1902.
    [9]Liu Wanwei, Wang Ji, and Chen Huowang. A Game-Based Axiomatization of μ-Calculus[J]. Journal of Computer Research and Development, 2007, 44(11): 1896-1902.
    [10]Wei Lai, Miao Duoqian, Xu Feifei, and Xia Fuchun. Research on a Covering Rough Fuzzy Set Model[J]. Journal of Computer Research and Development, 2006, 43(10): 1719-1723.
  • Cited by

    Periodical cited type(3)

    1. 孙颖,丁卫平,黄嘉爽,鞠恒荣,李铭,耿宇. RCAR-UNet:基于粗糙通道注意力机制的视网膜血管分割网络. 计算机研究与发展. 2023(04): 947-961 . 本站查看
    2. 张创邦,王青海. 直觉模糊知识粒的分解与合成研究. 计算机与数字工程. 2022(02): 270-275+299 .
    3. 朱国成. 基于概率语言术语集中考虑专家权重的决策方法研究. 曲阜师范大学学报(自然科学版). 2021(04): 72-80 .

    Other cited types(3)

Catalog

    Article views (387) PDF downloads (152) Cited by(6)

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return