计算机科学 ›› 2011, Vol. 38 ›› Issue (4): 263-266.

• 人工智能 • 上一篇    下一篇

区间值(α,β)一模糊格蕴涵子代数

刘熠,徐扬,秦亚   

  1. (内江师范学院四川省高等学校数值仿真重点实验室 内江641000); (西南交通大学智能控制开发中心 成都610031);(内江师范学院数学与信息科学学院 内江641000)
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本文受国家自然科学基金(60875034),四川省教育厅青年基金((09ZB105)资助.

Interval-valued (α,β)-fuzzy Lattice Implication Subalgebras

LIU Yi,XU Yang,QIN Ya   

  • Online:2018-11-16 Published:2018-11-16

摘要: 摘要把拟重合的思想应用到区间值模糊集上,引进了一种广义模糊格蕴涵子代数,即区间值(α,β)一模糊格蕴涵子代数。研究了区间值(α,β)-模糊格蕴涵子代数的性质,并研究了区间值(α,β)-模糊格蕴涵子代数与格蕴涵子代数的关系,最后得到了该类模糊子代数的等价刻画。

关键词: 格蕴涵代数,区间值模糊集,模糊点,(α,β)-模糊子代数

Abstract: The idea of "quasi coincidence" was applied on interval valued fuzzy sets, a new kind of fuzzy lattice implication subagebras was proposed, called interval valued (α,β)-fuzzy lattice implication subalgebras. Some properties of this new fuzzy lattice implication algebra were investigated. The relations between (α,β)-fuzzy lattice implication subalgebra and lattice implication subalgebras were studied. Some equivalent characterization theorems of interval valued (α,β)-fuzzy lattice implication subalgebras were established.

Key words: Lattice implication algcbra,Intcrval valued fuzzy scts,Fuzzy points, (α,β)-fuzzy subalgcbras

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