李庆;

• 1:重庆师范大学数学科学学院

摘要(Abstract)：

探讨了软集理论在Γ-半群上的应用,得到了Γ-半群的软拟Γ-理想、软双Γ-理想、软Γ-理想的性质.并且,给出了Γ-半群和软Γ-半群正则的判定条件.

关键词(KeyWords)： 半群;理想;Γ-半群;软集

Abstract:

Keywords:

基金项目(Foundation): 重庆师范大学博士启动基金资助项目(17XLB026)

作者(Authors): 李庆;

参考文献(References)：

• [1]SEN M K,SAHA N K.OnΓ-semigroup[J].Bull Cal Math Soc,1986(3):180-186.
• [2]MOLODTSOV D.Soft set theory-first results[J].Comput Math Appl,1999,37(4/5):19-31.
• [3]WANG G J,ZHOU J.Quantitative logic[J].Information Sciences,2009,179(3):226-247.
• [4]LIU B.Uncertainty theory:a branch of mathematics for modeling human uncertainty[M].Berlin:Springer,2011.
• [5]DENG J L.Introduction to grey system theory[J].Journal of Grey System,1989,1(1):1-24.
• [6]DUBOIS D,PRADE H.Possibility theory[M].Now York:Plenum Press,1988.
• [7]PAWLAK Z.Rough sets[J].Int J Inform Comput Sci,1982,11(5):341-356.
• [8]ZADEH L A.Fuzzy sets[J].Information Control,1965,8(3):338-353.
• [9]GORZALZANY M B.A method of inference in approximate reasoning based on interval-valued fuzzy sets[J].Fuzzy Sets and Systems,1987,21(1):1-17.
• [10]ZADEH L A.Toward a generalized theory of uncertainty(GTU)-an outline[J].Information Sciences,2005,172(1/2:1-40.
• [11]PAWLAK Z,SKOWRON A.Rudiments of rough sets[J].Information Sciences,2007,177(1):3-27.
• [12]FENG F,JUN Y B,ZHAO X Z.Soft semirings[J].Comput Math Appl,2008,56(10):2621-2628.
• [13]MAJI P K,ROY A R,BISWAS R.An application of soft sets in a decision making problem[J].Comput Math Appl,2002,44(8/9):1077-1083.
• [14]MAJI P K,BISWAS R,ROY A R.Soft set theory[J].Comput Math Appl,2003,45(4/5):555-562.
• [15]CHEN D,TSANG E C C,YEUNG D S,et al.The parametrization reduction of soft sets and its applications[J].Comput Math Appl,2005,49(5/6):757-763.
• [16]AKTAS H,CAGMAN N.Soft sets and soft groups[J].Information Sciences,2007,177(13):2726-2735.
• [17]JUN Y B.Soft BCK/BCI-algebras[J].Comput Math Appl,2008,56(5):1408-1413.
• [18]ALI M I,SHABIR M,SHUM K P.On soft ideals over semigroups[J].Southeast Asian Bulletin of Mathematics,2010,34(4):595-610.
• [19]ALI M I,FENG F,LIU X,et al.On some new operations in soft set theory[J].Comput Math Appl,2009,57(9):1547-1553.
• [20]CHANGPHAS T,THONGKAM B.On softΓ-semigroups[J].Annals of Fuzzy Mathematics and Informatics,2012,4(2):217-223.
• [21]ACAR U,KOYUNCU F,TANAY B.Soft sets and soft rings[J].Computers and Mathematics with Applications,2010,59(11):3458-3463.
• [22]ATAGUNA A O,SEZGIN A.Soft substructures of rings,fields and modules[J].Computers and Mathematics with Applications,2011,61(3):592-601.
• [23]JOHN M HOWIE.Fundamentals of semigroup theory[M].New York:Oxford University Press Inc,1999.
• [24]CHINRAM R.On quasi-Γ-ideals inΓ-semigroups[J].Science Asia,2006,32(4):351-353.
• [25]CHINRAM R,JIROJKUL C.On bi-Γ-ideals inΓ-semigroups[J].Journal of Science and Technology,2007,29(11):231-234.