王丰效;

• 1:喀什大学数学与统计学院

摘要(Abstract)：

模糊子半群是半群模糊集理论的一个重要研究领域.文章引入了半群的区间值Q-模糊子半群的概念,讨论了半群的区间值Q-模糊子半群的相关性质.给出了半群的区间值Q-模糊子半群与模糊子半群以及区间值模糊子半群的关系.证明了半群的区间值Q-模糊子半群的交和同态像仍然是区间值Q-模糊子半群.

关键词(KeyWords)： 半群;Q-区间值模糊子半群;交集;同态像

Abstract:

Keywords:

基金项目(Foundation): 新疆维吾尔自治区自然科学基金项目(2018D01A02)

作者(Authors): 王丰效;

DOI: 10.13568/j.cnki.651094.2019.04.006

参考文献(References)：

• [1]ZADEH L A.Fuzzy Sets[J].Information and Control,1965,8(3):38-353.
• [2]ROSENFELD A.Fuzzy Groups[J].Journal of Mathematical Analysis and Applications,1971,35(3):512-517.
• [3]ATANASSOV K.Intuitionistic Fuzzy Sets[J].Fuzzy Sets and Syatems,1986,20:87-96.
• [4]BIWAS R.Intuitionistic Fuzzy Subgroup[J].Mathematical Fortum,1986,10:37-46.
• [5]王丰效,宋爱丽.半群的区间值反模糊子半群的性质[J].数学的实践与认识,2018,48(5):207-212.WANG F X,SONG Aili.Interval Value Anti-Fuzzy Subsemigroup of Semigroup[J].Mathematics in Practice and Theory,2018,48(5):207-212.(in Chinese)
• [6]王丰效.坡代数的区间值模糊子坡[J].数学的实践与认识,2017,47(24):289-293.WANG Fengxiao.Internal-Value Fuzzy Subincline Algebras of Inclines Algebra[J].Mathematics in Practice and Theory,2017,47(24):289-293.(in Chinese)
• [7]WANG F X.Interval-valued Intuitionistic Fuzzy Ideals of B-algebras[J].Journal of Intelligent and Fuzzy Systems,2017,33(4):2609-2615.
• [8]谢祥云,吴明芬.半群的模糊理论[M].北京:科学出版社,2005.XIE X Y,WU M F.Fuzzy Theory of Semigroups[M].Beijing:Science Press,2005.(in Chinese)
• [9]MORDESON J N,MALIK D S,KOUOKI N.Fuzzy Semigroups[M].Berlin:Springer,2003.
• [10]KUROKI N.On Fuzzy Ideals and Fuzzy Bi-ideals in Semigroup[J].Fuzzy Sets and Systems,1981(5):203-215.
• [11]JUN Y B,KIM K H,ZHANG Q.OnΩ-fuzzy Ideals of BCK/BCI-algebras[J].Journal of Fuzzy Mathematics,2001,9(1):173-180.
• [12]PENG J Y.Ω-fuzzy P-ideals of BCI-algebras[J].Journal of Neijiang Normal University,2008,23(12):8-15.
• [13]PENG J Y.Ω-fuzzy H-ideals of BCI-algebras[J].Journal of Neijiang Normal University,2009,24(2):5-10.
• [14]彭家寅.BCH-代数的Ω-模糊正定关联理想[J].数学的实践与认识,2010,40(2):157-163.PENG J Y.Ω-fuzzy Positive Implicative Ideals in BCK-algebras[J].Mathematics in Practice and Theory,2010,40(2):157-163.(in Chinese)
• [15]朱晓英,廖祖华,罗晓棠,等.半群的Ω-模糊子半群[J].江南大学学报(自然科学版),2013,12(6):343-346.ZHU X Y,LIAO Z H,LUO X T,et al.Ω-fuzzy SUbsemigroup of Semigroups[J].Journal of Jiangnan University(Natural Science Edition),2013,12(6):343-346.(in Chinese)
• [16]唐善刚.剩余类环上的轮换多项式的计数[J].新疆大学学报(自然科学版),2018,35(4):409-415.TANG S G.Enumerations of Rotation Polynomial on Residue Class Ring[J].Journal of Xinjiang University(Natural Science Edition),2018,35(4):409-415.(in Chinese)
• [17]李金龙.BCH-代数的路径[J].新疆大学学报(自然科学版),2018,35(1):30-33.LI J L.The Routes of BCH-algebras[J].Journal of Xinjiang University(Natural Science Edition),2018,35(1):30-33.(in Chinese)
• [18]李金龙.BCH-代数的质子[J].新疆大学学报(自然科学版),2017,34(2):158-162.LI J L.The Protons of BCH-algebras[J].Journal of Xinjiang University(Natural Science Edition),2017,34(2):158-162.(in Chinese)