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格蕴涵代数

格蕴涵代数的相关文献在1992年到2022年内共计158篇,主要集中在数学、自动化技术、计算机技术、逻辑学(论理学) 等领域,其中期刊论文142篇、会议论文16篇、专利文献15517篇;相关期刊63种,包括内江师范学院学报、宜宾学院学报、江南大学学报(自然科学版)等; 相关会议7种,包括2014湖北省计算机学会学术年会、中国运筹学会模糊信息与模糊工程分会第五届学术年会、第九届全国多值逻辑与模糊逻辑学术会议等;格蕴涵代数的相关文献由119位作者贡献,包括徐扬、秦克云、宋振明等。

格蕴涵代数—发文量

期刊论文>

论文:142 占比:0.91%

会议论文>

论文:16 占比:0.10%

专利文献>

论文:15517 占比:98.99%

总计:15675篇

格蕴涵代数—发文趋势图

格蕴涵代数

-研究学者

  • 徐扬
  • 秦克云
  • 宋振明
  • 张家锋
  • 朱怡权
  • 刘春辉
  • 龙希庆
  • 刘熠
  • 廖祖华
  • 王学芳
  • 期刊论文
  • 会议论文
  • 专利文献

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期刊

    • 姜曼; 黄军峰
    • 摘要: 在集合Ω中,用犹豫模糊集、Ω-模糊集来研究格蕴涵代数,定义了格蕴涵代数中的Ω-犹豫模糊LI-理想,讨论其性质及若干等价刻画;研究了Ω-犹豫模糊LI-理想与其LI-理想之间的关系;讨论了格蕴涵代数的Ω-犹豫模糊LI-理想的同态像与同态原像的性质.
    • 姜曼; 卢金梅
    • 摘要: 在集合Ω中,用犹豫模糊集、Ω-模糊集来研究格蕴涵代数,定义格蕴涵代数中的Ω-犹豫模糊子代数,并讨论其性质;在格蕴涵代数中,给出Ω-犹豫模糊子代数的若干等价刻画,并讨论Ω-犹豫模糊子代数与其子代数之间的相互关系;研究了Ω-犹豫模糊子代数在交、并等运算下的性质;最后研究格蕴涵代数的Ω-犹豫模糊子代数的同态像与直积.
    • 彭家寅
    • 摘要: 利用模糊点与模糊集的属于和重于概念,引入格蕴涵代数的(∈,∈∨q)-模糊蕴涵理想的概念,研究它的相关性质.给出了(∈,∈∨q)-模糊蕴涵理想的几个等价刻画,指出了(∈,∈∨q)-模糊蕴涵理想与(∈,∈∨q)-模糊理想的关系,证明了(∈,∈∨q)-模糊蕴涵理想的交、积、投影、同态原象或同构象仍为(∈,∈∨q)-模糊蕴涵理想.
    • 刘春辉
    • 摘要: 运用fuzzy集的思想和方法对格蕴涵代数的(∈,∈∨q[k])-fuzzy LI-理想概念作进一步研究.引入了格蕴涵代数的((∈),(∈)∨q[k])-fuzzy LI-理想的概念并给出了它的一个等价刻画.讨论了(∈,∈∨q[k])-fuzzy LI-理想和((∈),(∈)∨q[k])-fuzzy LI-理想与LI-理想的关系,建立并证明了相应的关系定理.
    • 洪智勇; 刘熠; 秦克云
    • 摘要: 在基于格值逻辑的不确定性推理的研究中,推理规则的选取是其重要研究内容之一.基于分层格值命题逻辑系统,提出了几类既包含有语义又含有语法的推理规则,且这些推理规则具备协调水平的特性;同时也证明了这几类推理规则在一定程度上有闭性.%The selection of inference rules is one of important research contents in the uncertainty inference based on lat-tice-valued logic. Based on the gradational lattice-valued propositional logic system, some several kinds of inference rules, with both semantics, syntax and the characteristics of consistency level, are proposed. It also proves that these kinds of infer-ence rules are closed.
    • 傅小波; 廖祖华
    • 摘要: 给定一个集合Ω,将Ω-模糊集与格蕴涵代数相结合,引入了格蕴涵代数Ω-模糊子代数的概念,并研究了其相关性质;给出了格蕴涵代数Ω-模糊子代数的若干等价刻画,讨论了格蕴涵代数Ω-模糊子代数与格蕴涵代数子代数之间的相互关系;研究了格蕴涵代数Ω-模糊子代数在Ω-模糊集下交、并等运算下的基本性质;讨论了格蕴涵代数Ω-模糊子代数的同态像与同态原像的基本性质;最后研究了格蕴涵代数Ω-模糊子代数的直积与投影.%Let Ω be a set. By combining the Ω-fuzzy sets and the lattice implication algebras, this paper introduces the concepts of Ω-fuzzy subalgebra in the lattice implication algebra, and investigates some related properties. Be-side, this paper obtains some equivalent descriptions of the Ω-fuzzy subalgebra in the lattice implication algebra, and gives the relations between Ω-fuzzy subalgebra and the subalgebra in the lattice implication algebra. Then this paper studies some basic properties of theΩ-fuzzy subalgebra under the intersection, union and other operations ofΩ-fuzzy sets, and discusses some basic properties of homomorphic image and homomorphic preimage of Ω-fuzzy subalgebra. Finally, this paper studies the Ω-fuzzy subalgebra direct product in the lattice implication algebra.
    • 傅小波
    • 摘要: 给定一个集合Ω,将Ω-模糊集与格蕴涵代数相结合,给出了Ω-模糊LI-理想的概念,并研究了其相关性质;讨论了Ω-模糊LI-理想与模糊LI-理想之间的关系,得到了一些等价刻画.研究了格蕴涵代数Ω-模糊LI-理想的同态像与同态原像的基本性质.%Let Ω be a set. By combining the Ω-fuzzy sets and the lattice implication algebras, the concepts of Ω-fuzzy LI-ideals in the lattice implication algebra are introduced, and some related properties are investigated. The relationship between Ω-fuzzy LI-ideals and fuzzy LI-ideals in the lattice implication algebras is also discussed. Some equivalent descriptions of the Ω-fuzzy LI-ideals in the lattice implication algebra are obtained. Finally, some basic properties of homomorphic image and homomorphic preimage of Ω-fuzzy LI-ideals are also studied.
    • 顾长林; 李晓楠; 潘畅; 徐莹莹; 邹丽
    • 摘要: In order to deal with the fuzzy linguistic information which had both comparability and incomparability in examination paper quality evaluation, the linguistic-valued weighted averaging operator was presented and its related properties were discussed based on linguistic-valued lattice implication algebra.A set of index system of the quality evaluation and a model of the quality analysis based on the linguistic-valued evaluation of examination paper were set up.In the model,the linguistic value to evaluate the quality of examination paper directly can be used to get the evaluation result with linguistic-valued degrees.It makes the examination paper evaluation process more in line with natural language habits and the reasoning process of human beings.Its validity and practicability are illustrated with an example.%为了能够处理试卷质量评价中既有可比性又有不可比性的模糊语言值信息,在语言值格蕴涵代数的基础上,提出语言值加权平均算子并讨论其相关性质,建立一套试卷质量评价的指标体系,构建一种基于语言值评价的试卷质量分析模型.在该模型中,直接利用语言值评价信息对试卷质量综合评价,并得到具有语言值程度的评价结果,使得试卷质量评价过程更加符合人类的自然语言习惯和思维推理过程;用实例说明了该方法的有效性和实用性.
    • 胡云腾; 李晋卿
    • 摘要: 本文在对格蕴涵代数上的同余关系分析研究中,对同余关系所具有的商格蕴涵代数进行详细分析研究,了解不同类别同余关系之间的关联,希望能够对格蕴含代数内的同余关系有着全面分析研究.
    • 张家锋; 曹发生
    • 摘要: 由于格值逻辑中广义文字结构的复杂性,这必然增加判断两个广义文字是否为α-归结对的难度.根据真值域 Ln × L2 的结构特性和归结水平 α 的特点,研究了真值域为一类格蕴涵代数 Ln × L2 的格值命题逻辑系统(Ln × L2)P(X )中0-IESF与其他广义文字之间的α-归结性,得到了两个广义文字可进行α-归结的条件.%Because of the complexity of generalized literals structure in lattice-valued logic, it leads to difficult to judge two generalized literals whether form resolution pair or not. According to particular structure of truth valued range Ln × L2 and the characteristic of resolution levelα, the resolvability of between 0-IESF and other generalized literals in lattice-valued propositional logic system (Ln × L2)P(X ) based on one class of lattice implication algebras Ln × L2 , and the determination conditions on that two generalized literals can form resolution pair.
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