Soft BL-algebras based on fuzzy sets

被引:132
|
作者
Zhan, Jianming [1 ]
Jun, Young Bae [2 ,3 ]
机构
[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
基金
中国国家自然科学基金;
关键词
Soft BL-algebra; (is an element of; is an element of boolean OR q)-fuzzy (implicative; positive implicative; fantastic); filter; ((is an element of)over-bar; (is an element of)over-bar boolean OR (q)over-bar)-fuzzy (implicative; Fuzzy; (implicative; fantastic) filter with thresholds; (Implicative; fantastic) filteristic soft BL-algebra; FILTERS; ELEMENT; (IS-AN-ELEMENT-OF;
D O I
10.1016/j.camwa.2009.12.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By means of E-soft sets and q-soft sets, implicative and fantastic) filteristic soft that a soft set is an implicative filteristic implicative filteristic soft BL-algebra and some characterizations of (implicative, positive BL-algebras are investigated. Finally, we prove soft BL-algebra if and only if it is both a positive a fantastic filteristic soft BL-algebra. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2037 / 2046
页数:10
相关论文
共 50 条
  • [41] Multiplier in BL-algebras
    Khorami, R. Tayebi
    Saeid, A. Borumand
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2014, 38 (A2): : 95 - 103
  • [42] State BL-algebras
    Ciungu, Lavinia Corina
    Dvurecenskij, Anatolij
    Hycko, Marek
    SOFT COMPUTING, 2011, 15 (04) : 619 - 634
  • [43] Implication BL-algebras
    Saeid, A. Borumand
    Mohtashamnia, N.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) : 1371 - 1381
  • [44] Uniform BL-algebras
    Khanegir, R.
    Rezaei, G. R.
    Kouhestani, N.
    SOFT COMPUTING, 2019, 23 (15) : 5991 - 6003
  • [45] Constructing (pre)norms in BL-algebras and its action on topological BL-algebras
    Borzooei, R. A.
    Kim, Hee Sik
    Kouhestani, N.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (05) : 6959 - 6969
  • [46] On annihilators in BL-algebras
    Zou, Yu Xi
    Xin, Xiao Long
    He, Peng Fei
    OPEN MATHEMATICS, 2016, 14 : 324 - 337
  • [47] On α-filters of BL-algebras
    Haveshki, Masoud
    Mohamadhasani, Mahboobeh
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (01) : 373 - 382
  • [48] CHAIN CONDITIONS ON FUZZY POSITIVE IMPLICATIVE FILTERS OF BL-ALGEBRAS
    Hedayati, H.
    Jun, Y. B.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (06): : 819 - 828
  • [49] SEMITOPOLOGICAL BL-ALGEBRAS AND MV -ALGEBRAS
    Zahiri, O.
    Borzooei, R. A.
    DEMONSTRATIO MATHEMATICA, 2014, 47 (03) : 522 - 538
  • [50] Fuzzy n-fold fantastic filters in BL-algebras
    Borzooei, R. A.
    Paad, A.
    AFRIKA MATEMATIKA, 2014, 25 (04) : 1001 - 1012