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Constructions of Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms on a Complete Lattice

Received: 6 January 2017     Accepted: 19 January 2017     Published: 23 February 2017
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Abstract

In this paper, we further investigate the constructions of fuzzy connectives on a complete lattice. We firstly illustrate the concepts of strict left (right)-conjunctive left (right) semi-uninorms by means of some examples. Then we give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation.

Published in International Journal of Intelligent Information Systems (Volume 6, Issue 1)
DOI 10.11648/j.ijiis.20170601.11
Page(s) 1-6
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Fuzzy Logic, Fuzzy Connective, Left (Right) Semi-Uninorm, Strict Left (Right)-Conjunctive

References
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[17] Y. Su and Z. D. Wang, “Constructing implications and coimplications on a complete lattice”, Fuzzy Sets and Systems, 247, 68-80, 2014.
[18] X. Y. Hao, M. X. Niu and Z. D. Wang, “The relations between implications and left (right) semi-uninorms on a complete lattice”, Internat. J. Uncertainly, Fuzziness and Knowledge-Based Systems, 23, 245-261, 2015.
[19] X. Y. Hao, M. X. Niu, Y. Wang and Z. D. Wang, “Constructing conjunctive left (right) semi-uninorms and implications satisfying the neutrality principle”, Journal of Intelligent and Fuzzy Systems, 31, 1819-1829, 2016.
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Cite This Article
  • APA Style

    Yuan Wang, Keming Tang, Zhudeng Wang. (2017). Constructions of Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms on a Complete Lattice. International Journal of Intelligent Information Systems, 6(1), 1-6. https://doi.org/10.11648/j.ijiis.20170601.11

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    ACS Style

    Yuan Wang; Keming Tang; Zhudeng Wang. Constructions of Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms on a Complete Lattice. Int. J. Intell. Inf. Syst. 2017, 6(1), 1-6. doi: 10.11648/j.ijiis.20170601.11

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    AMA Style

    Yuan Wang, Keming Tang, Zhudeng Wang. Constructions of Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms on a Complete Lattice. Int J Intell Inf Syst. 2017;6(1):1-6. doi: 10.11648/j.ijiis.20170601.11

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  • @article{10.11648/j.ijiis.20170601.11,
      author = {Yuan Wang and Keming Tang and Zhudeng Wang},
      title = {Constructions of Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms on a Complete Lattice},
      journal = {International Journal of Intelligent Information Systems},
      volume = {6},
      number = {1},
      pages = {1-6},
      doi = {10.11648/j.ijiis.20170601.11},
      url = {https://doi.org/10.11648/j.ijiis.20170601.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijiis.20170601.11},
      abstract = {In this paper, we further investigate the constructions of fuzzy connectives on a complete lattice. We firstly illustrate the concepts of strict left (right)-conjunctive left (right) semi-uninorms by means of some examples. Then we give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation.},
     year = {2017}
    }
    

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    T1  - Constructions of Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms on a Complete Lattice
    AU  - Yuan Wang
    AU  - Keming Tang
    AU  - Zhudeng Wang
    Y1  - 2017/02/23
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ijiis.20170601.11
    DO  - 10.11648/j.ijiis.20170601.11
    T2  - International Journal of Intelligent Information Systems
    JF  - International Journal of Intelligent Information Systems
    JO  - International Journal of Intelligent Information Systems
    SP  - 1
    EP  - 6
    PB  - Science Publishing Group
    SN  - 2328-7683
    UR  - https://doi.org/10.11648/j.ijiis.20170601.11
    AB  - In this paper, we further investigate the constructions of fuzzy connectives on a complete lattice. We firstly illustrate the concepts of strict left (right)-conjunctive left (right) semi-uninorms by means of some examples. Then we give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation.
    VL  - 6
    IS  - 1
    ER  - 

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Author Information
  • College of Information Engineering, Yancheng Teachers University, Yancheng, People's Republic of China

  • College of Information Engineering, Yancheng Teachers University, Yancheng, People's Republic of China

  • School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, People's Republic of China

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