Some Basic Results on Fuzzy Strong ?-b-Normed Linear Spaces

被引:2
|
作者
Das, Abhishikta [1 ]
Bag, Tarapada [1 ]
Chatterjee, Shayani [1 ]
机构
[1] Visva Bharati, Siksha Bhavana, Dept Math, Birbhum 731235, W Bengal, India
来源
关键词
Fuzzy norm; t-norm; Fuzzy normed linear space; Fuzzy strong 0-b-normed linear space;
D O I
10.22130/scma.2023.554520.1117
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Following the definition of fuzzy normed linear space which was introduced by Bag and Samanta in general t-norm set-tings, in this paper, definition of fuzzy strong 0-b-normed linear space is given. Here the scalar function |c| is replaced by a gen-eral function 0(c) where 0 satisfies some properties. Some basic results on finite dimensional fuzzy strong 0-b-normed linear space are studied.
引用
收藏
页码:183 / 196
页数:15
相关论文
共 50 条
  • [41] Intuitionistic Fuzzy Pseudo-Normed Linear Spaces
    Dinda, Bivas
    Ghosh, Santanu Kumar
    Samanta, T. K.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2019, 15 (01) : 113 - 127
  • [42] On (fuzzy) pseudo-semi-normed linear spaces
    Wu, Yaoqiang
    AIMS MATHEMATICS, 2022, 7 (01): : 467 - 477
  • [43] Statistical convergence of order β in fuzzy normed linear spaces
    Cinar, Muhammed
    Et, Mikail
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (04) : 3535 - 3540
  • [44] An Introduction to Spectral Theory in Fuzzy Normed Linear Spaces
    Oprea, Ramona Ioana
    Flavius, Pater
    Juratoni, Adina
    Bundau, Olivia
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293
  • [45] The comparative study of gradual and fuzzy normed linear spaces
    Sadeqi, Ildar
    Azari, Farnaz Yaqub
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (02) : 1195 - 1198
  • [46] Fixed point theorems on fuzzy normed linear spaces
    Bag, T.
    Samanta, S. K.
    INFORMATION SCIENCES, 2006, 176 (19) : 2910 - 2931
  • [47] The Study of Felbin and BS Fuzzy Normed Linear Spaces
    Azari, Farnaz Yaqub
    Sadeqi, Ildar
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (02): : 49 - 64
  • [48] On ideal convergent sequences in fuzzy normed linear spaces
    Hazarika B.
    Afrika Matematika, 2014, 25 (4) : 987 - 999
  • [49] A note on "Some results on the IF-normed spaces"
    Saadati, Reza
    CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 206 - 213
  • [50] SOME RESULTS ON t-BEST APPROXIMATION IN FUZZY n-NORMED SPACES
    Gumus, S.
    Efe, H.
    Yildiz, C.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2012, 9 (05): : 137 - 146