摘要
研究了双极值模糊软子群的等价刻画。在双极值模糊软子群的基础上定义了双极值模糊正规软子群,得到了它的一些性质及等价刻画,进一步还研究了在双极值模糊软同态下,双极值模糊正规软子群的像与原像一些性质。
The equivalent characterizations of bipolar-value fuzzy soft subgroup are investigated. The concept of bipolarvalue fuzzy normal soft subgroup based on the bipolar-value fuzzy soft subgroup is introduced and in the meantime, some of its properties and equivalent characterizations are discussed. Furthermore, the theorems of soft homomorphic image and pre-image of bipolar-value fuzzy normal soft subgroup are given.
引文
[1]Molodtsov D A.Soft set theory-first results[J].Computers and Mathematics with Applications,1999,37(4/5):19-31.
[2]Maji P K,Biswas R,Roy A R.Soft set theory[J].Computers and Mathematics with Applications,2003,45:555-562.
[3]Maji P K,Biswas R,Roy A R.Fuzzy soft sets[J].Journal of Fuzzy Mathematics,2001,9(3):589-602.
[4]Ali M I,Feng Feng,Liu Xiaoyan,et al.On some new operations in soft set theory[J].Computers and Mathematics with Applications,2009,57:1547-1553.
[5]Aygünoglu A,Aygün H.Introduction to fuzzy soft groups[J].Computers and Mathematics with Applications,2009,58:1279-1286.
[6]aman N,Enginolu S.Soft matrix theory and its decision making[J].Computers and Mathematics with Applications,2010,59:3308-3314.
[7]aman N,Enginolu S.Soft set theory and uni-int decision making[J].European Journal of Operational Research,2010,207:848-855.
[8]aman N,Enginolu S,itak F.Fuzzy soft set theory and its applications[J].Iranian Journal of Fuzzy Systems,2011,8(3):137-147.
[9]AktaH,aman N.Soft sets and soft groups[J].Information Science,2007,177(13):2726-2735.
[10]Feng Feng,Jun Y B,Zhao Xianzhong.Soft semirings[J].Computers and Mathematics with Applications,2008,56:2621-2628.
[11]Jun Y B.Soft BCK/BCI-algebras[J].Computers and Mathematics with Applications,2008,56:1408-1413.
[12]Jun Y B,Lee K J,Zhang Jianming.Soft p-ideals of BCIalgebras[J].Computers and Mathematics with Applications,2009,58:2060-2068.
[13]Jun Y B,Lee K J,Khan A.Soft ordered semigroups[J].Mathematical Logic Quarterly,2010,56(1):42-50.
[14]Zhang Jianming,Jun Y B.Soft BL-algebras based on fuzzy sets[J].Computers and Mathematics with Applications,2010,59:2037-2046.
[15]Atagün A O,Sezgin A.Soft substructures of rings,fields and modules[J].Computers and Mathematics with Applications,2011,61(3):592-601.
[16]Manemaran S V.On fuzzy soft groups[J].International Journal of Computer Applications,2011,15(7):38-44.
[17]Zhang Wenran.Bipolar fuzzy sets and relations:a computational framework for cognitive modeling and multiagent decision analysis[C]//Proceedings of IEEE Conference,1994:305-309.
[18]杨文华,李生刚.双极值模糊软集[J].计算机工程与应用,2012,48(35):15-18.
[19]殷霞,廖祖华,章里程,等.双极值模糊(反)软子群[J].计算机工程与应用,2013,49(19):58-62.