吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (3): 487-492.

• 数学 • 上一篇    下一篇

半群的(U,V)区间值模糊双理想

王丰效   

  1. 喀什大学 数学与统计学院, 新疆 喀什 844000
  • 收稿日期:2018-10-15 出版日期:2019-05-26 发布日期:2019-05-20
  • 通讯作者: 王丰效 E-mail:fxw_hz@126.com

(U,V)IntervalValued Fuzzy Biideals in Semigroups

WANG Fengxiao   

  1. College of Mathematics and Statistics, Kashi University, Kashi 844000, Xinjiang Uygur Autonomous Region, China
  • Received:2018-10-15 Online:2019-05-26 Published:2019-05-20
  • Contact: WANG Fengxiao E-mail:fxw_hz@126.com

摘要: 在半群中引入(U,V)区间值模糊双理想的概念, 并讨论其基本性质. 给出半群的(U,V)区间值模糊双理想与模糊双理想以及区间值模糊双理想的关系, 证明半群的(U,V)区间值模糊双理想的交仍然是半群的(U,V)区间值模糊双理想, 并讨论半群的(U,V)区间值模糊双理想直积的相关特性.

关键词: 半群, (U,V)区间值, 模糊双理想, 直积

Abstract: The concept of (U,V)intervalvalued fuzzy biideals was introduced in semigroups, and its basic properties were discu
ssed. The author gave the relations between (U,V)intervalvalued fuzzy biideals, fuzzy biideals and intervalvalued fuzzy biideals of semigrous, proved that the intersection of (U,V)intervalvalued fuzzy biideals was still (U,V)intervalvalued fuzzy biideals of semigroups, and discussed the correlation properties of direct product of (U,V)intervalvalued fuzzy biideals of semigroups.

Key words: semigroup, (U,V)intervalvalue,  , fuzzy biideals, direct product

中图分类号: 

  • O159