模糊软布尔代数

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英文篇名：Fuzzy Soft Boolean Algebras 作者：许宏伟 ; 刘卫锋 英文作者：XU Hong-wei;LIU Wei-feng;Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management; 关键词：布尔代数 ; 模糊软布尔代数 ; 模糊软布尔子代数 ; 模糊理想软布尔代数 ; 模糊软同态 英文关键词：Boolean algebras;;fuzzy soft Boolean algebras;;fuzzy soft Boolean subalgebras;;fuzzy ideal soft Boolean algebras;;fuzzy soft homomorphism 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：郑州航空工业管理学院数理系; 出版日期：2013-11-08 出版单位：数学的实践与认识 年：2013 期：v.43 基金：河南省教育厅科学技术研究重点项目(12B110027) 语种：中文; 页：SSJS201321035 页数：5 CN：21 ISSN：11-2018/O1 分类号：235-239

摘要

将模糊软集与布尔代数相结合,定义了模糊软布尔代数、模糊软布尔子代数、模糊理想软布尔代数、模糊软布尔代数的模糊软同态的概念,并研究了它们的性质.
        The fuzzy soft set is applied to the Boolean algebras.The concepts of fuzzy soft Boolean algebras,fuzzy soft Boolean subalgebras,fuzzy ideal soft Boolean algebras and fuzzy soft homomorphism of fuzzy soft Boolean algebras are defined and some related properties are investigated.

引文

[1]Molodtsov D.Soft set theory—first results[J].Computers and Mathematics with Applications,1999,37:19-31.
    [2]Maji P K,Biswas R,Roy A R.Soft set theory[J].Computers and Mathematics with Applications,2003,45:555-562.
    [3]Ali M I,Feng F,Liu X,et al.On somen new operations in soft set thory[J].Computers and Mathematics with Applications,2009,57:1547-1553.
    [4]Qin K,Hong Z.On Soft equality[J].Journal of Computational and Applied Mathematics,2010,234:1347-1355.
    [5]Maji P K,Biswas R,Roy A R.Fuzzy soft sets[J].The Journal of Fuzzy Mathematics,2001,9(3):589-602.
    [6]Ahmad B,Kharal A.On fuzzy soft sets[J].Advances in Fuzzy Systems,2009,2009:1-6.
    [7]Aygunoglu A,Aygun H.Introduction to fuzzy soft groups[J].Computers and Mathematics with Applications,2009,58:1279-1286.
    [8]Yang C F.Fuzzy soft semigroups and fuzzy soft ideals[J].Computers and Mathematics with Applications,2011,61:255-261.
    [9]Ian E,Oztiirk M A.Fuzzy soft rings and fuzzy soft ideals[J].Neural Computing and Applications,2012,21(1):1-8.
    [10]吕家俊,朱月秋,孙耕田.布尔代数[M].济南:山东教育出版社,1982.