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：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2023年 / 20卷 / 02期

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

页码：183 / 196

页数：15

共 50 条

[11] Some fixed point theorems in fuzzy normed linear spaces
Bag, T.
Samanta, S. K.
INFORMATION SCIENCES, 2007, 177 (16) : 3271 - 3289
[12] Some Results On Continuity And Boundedness Of Linear Operators On Neutrosophic Fuzzy n-Normed Spaces
Kisi, Omer
Choudhury, Chiranjib
APPLIED MATHEMATICS E-NOTES, 2024, 24 : 131 - 149
[13] Fuzzy Normed Linear Spaces and Fuzzy Frames
Daraby, B.
Delzendeh, F.
Rostami, A.
Rahimi, A.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2019, 9 (02): : 62 - 87
[14] Completions of fuzzy metric spaces and fuzzy normed linear spaces
Lee, Byung-Soo
Lee, Suk-Jin
Park, Kyung-Mi
Fuzzy Sets and Systems, 106 (03): : 469 - 473
[15] SOME NEW RESULTS ON SMOOTHNESS AND ROTUNDITY IN NORMED LINEAR SPACES
KLEE, V
MATHEMATISCHE ANNALEN, 1959, 139 (01) : 51 - 63
[16] The completions of fuzzy metric spaces and fuzzy normed linear spaces
Lee, BS
Lee, SJ
Park, KM
FUZZY SETS AND SYSTEMS, 1999, 106 (03) : 469 - 473
[17] Fuzzy Strong f-b-Normed Linear Space for Fuzzy Bounded Linear Operators
Das, Abhishikta
Bag, T.
NEW MATHEMATICS AND NATURAL COMPUTATION, 2023, 19 (03) : 855 - 873
[18] Some completeness results in terms of infinite series and quotient spaces in intuitionistic fuzzy n-normed linear spaces
Debnath, Pradip
Sen, Mausumi
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (02) : 975 - 982
[19] Some new results on approximation in fuzzy 2-normed spaces
Mohiuddine, S. A.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 574 - 580
[20] Fuzzy Continuous Mappings in Fuzzy Normed Linear Spaces
Nadaban, S.
INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, 2015, 10 (06) : 834 - 842

← 1 2 3 4 5 →