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T-模糊拟序结构中的两个包含关系

Two Inclusions in T-fuzzy Preorder Structures
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摘要 我们知道,一个普通的拟序结构(P,I,J)满足包含关系P^2■P∪J及I^2■I∪J.以可加的φ-模糊偏好结构为框架,给出了T-模糊拟序结构的定义,并通过讨论分别给出了上述两个包含关系在模糊情况下成立的条件。 It is well known that a crisp quasi-order structure （P,I,J） satisfies two inclusions： P2PU.I and I2IUJ. In this paper, we give the definition of a T--fuzzy quasi-order structure in the framework of additive φ-fuzzy preference structures. Some conditions presented to ensure that the fuzzy versions of the two inclusions mentioned above are valid.
作者 游永前 王绪柱
机构地区 太原理工大学数学学院
出处 《模糊系统与数学》 CSCD 北大核心 2015年第5期51-57,共7页 Fuzzy Systems and Mathematics
关键词 可加的φ-模糊偏好结构 T-模糊拟序结构 旋转不变性 Additive φ--fuzzy Preference Structure T--fuzzy Quasi-order Structure Rotation Invarianee
分类号 O159 [理学—基础数学]
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参考文献18

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二级参考文献31

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模糊系统与数学
2015年 第5期

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