Linear fuzzifying uniformities

The main purpose of this paper is to study Hutton type fuzzifying uniformities on linear spaces. Firstly, we show that if a base of a fuzzifying uniformity defined over a linear space is translation-invariant, balanced and absorbed, then it generates a linear fuzzifying topology. From this linear fu...

Full description

Saved in:
Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 40; no. 6; pp. 10453 - 10464
Main Authors Jin, Zhen-Yu, Yan, Cong-Hua
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2021
Sage Publications Ltd
Subjects
Topology
Vector spaces
fuzzy norm
Linear fuzzifying uniformity
linear fuzzifying topology
complete boundedness
Hausdorff separation axiom
Online AccessGet full text

Cover

Abstract The main purpose of this paper is to study Hutton type fuzzifying uniformities on linear spaces. Firstly, we show that if a base of a fuzzifying uniformity defined over a linear space is translation-invariant, balanced and absorbed, then it generates a linear fuzzifying topology. From this linear fuzzifying topology, we can construct a new linear fuzzifying uniformity (i.e., a fuzzifying uniformity compatible with the linear structure) which is equivalent to the original fuzzifying uniformity. Secondly, the Hausdorff separation and complete boundedness in linear fuzzifying uniformities are investigated. In addition, as an example, the linear fuzzifying uniformity induced by a fuzzy norm is also discussed.
AbstractList The main purpose of this paper is to study Hutton type fuzzifying uniformities on linear spaces. Firstly, we show that if a base of a fuzzifying uniformity defined over a linear space is translation-invariant, balanced and absorbed, then it generates a linear fuzzifying topology. From this linear fuzzifying topology, we can construct a new linear fuzzifying uniformity (i.e., a fuzzifying uniformity compatible with the linear structure) which is equivalent to the original fuzzifying uniformity. Secondly, the Hausdorff separation and complete boundedness in linear fuzzifying uniformities are investigated. In addition, as an example, the linear fuzzifying uniformity induced by a fuzzy norm is also discussed.
Author Yan, Cong-Hua
Jin, Zhen-Yu
Author_xml – sequence: 1
  givenname: Zhen-Yu
  surname: Jin
  fullname: Jin, Zhen-Yu
  organization: Institute of Math., School of Math. Sciences
– sequence: 2
  givenname: Cong-Hua
  surname: Yan
  fullname: Yan, Cong-Hua
  email: chyan@njnu.edu.cn
  organization: Institute of Math., School of Math. Sciences
BookMark eNp1kEtLAzEURoNUsK2u3EvBjSCjeU0eSylWKwMu1HVIJklJaTM1mVm0v94pIwiiq3sX5_vu5UzAKDbRAXCJ4B3BhNy_LBdvBYaQQ3wCxkjwshCS8VG_Q0YLhCk7A5Oc1xAiXmI4BldViE6nme8Oh-D3Ia5mXQy-SdvQBpfPwanXm-wuvucUfCwe3-fPRfX6tJw_VEWNJW0LarH0AjNBrLTeS-5qLiEvDRGYWumEQd6QkjLOhKitp0hjo62mkBhT9tgUXA-9u9R8di63at10KfYnFS4pEVAwInrqdqDq1OScnFe7FLY67RWC6ihAHQWoQUBPo190HVrdhia2SYfNP5mbIZP1yv388Bf6BZhzaro
CitedBy_id crossref_primary_10_1007_s40314_025_03086_1
crossref_primary_10_3233_JIFS_211960
crossref_primary_10_1016_j_fss_2023_108639
crossref_primary_10_1016_j_fss_2024_109175
crossref_primary_10_1016_j_fss_2022_11_007
Cites_doi 10.1016/j.fss.2009.10.001
10.1016/j.camwa.2011.02.006
10.1007/BF01170928
10.1016/0165-0114(91)90164-L
10.1016/j.fss.2006.03.013
10.1016/j.fss.2014.06.003
10.3233/IFS-131078
10.1007/s40314-020-01161-3
10.1016/j.fss.2003.10.024
10.1016/0165-0114(91)90100-5
10.1016/0165-0114(82)90030-6
10.1016/0165-0114(93)90525-M
10.1016/j.fss.2013.07.013
10.1007/s00500-019-04295-7
10.3233/IFS-141515
10.1016/0022-247X(77)90192-5
10.5391/IJFIS.2019.19.1.28
10.1016/j.fss.2004.05.004
10.3233/JIFS-152165
10.1016/j.fss.2005.11.002
10.3233/JIFS-152492
10.1016/0022-247X(81)90202-X
10.1016/S0165-0114(02)00046-5
10.1016/0165-0114(78)90021-0
10.1016/j.fss.2017.05.001
10.2298/FIL1813755E
10.1016/0165-0114(93)90132-2
ContentType Journal Article
Copyright 2021 – IOS Press. All rights reserved
Copyright IOS Press BV 2021
Copyright_xml – notice: 2021 – IOS Press. All rights reserved
– notice: Copyright IOS Press BV 2021
DBID AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.3233/JIFS-200702
DatabaseName CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList CrossRef
Computer and Information Systems Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1875-8967
EndPage 10464
ExternalDocumentID 10_3233_JIFS_200702
10.3233_JIFS-200702
GroupedDBID .4S
.DC
4.4
5GY
8VB
AAGLT
ABCQX
ABDBF
ABJNI
ABUJY
ACGFS
ACPQW
ACUHS
ADMLS
ADZMO
AEMOZ
AENEX
AFRHK
AHDMH
AHQJS
AJNRN
AKVCP
ALMA_UNASSIGNED_HOLDINGS
AMVHM
ARCSS
ARTOV
ASPBG
AVWKF
DU5
EAD
EAP
EBA
EBR
EBS
EBU
EDO
EMK
EPL
EST
ESX
H13
HZ~
I-F
IOS
K1G
L7B
MET
MIO
MK~
MV1
NGNOM
O9-
P2P
QWB
TH9
TUS
ZL0
AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c294t-4d29f82683d9dff97ec79075b3824d9e8b1fb35467688cdf41a2bada403bb55b3
ISSN 1064-1246
IngestDate Fri Jul 25 10:07:51 EDT 2025
Tue Jul 01 05:16:44 EDT 2025
Thu Apr 24 23:13:09 EDT 2025
Sun Jul 13 06:02:38 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Keywords fuzzy norm
Linear fuzzifying uniformity
linear fuzzifying topology
complete boundedness
Hausdorff separation axiom
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c294t-4d29f82683d9dff97ec79075b3824d9e8b1fb35467688cdf41a2bada403bb55b3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 2543808638
PQPubID 2046407
PageCount 12
ParticipantIDs proquest_journals_2543808638
crossref_primary_10_3233_JIFS_200702
crossref_citationtrail_10_3233_JIFS_200702
sage_journals_10_3233_JIFS_200702
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-01-01
PublicationDateYYYYMMDD 2021-01-01
PublicationDate_xml – month: 01
  year: 2021
  text: 2021-01-01
  day: 01
PublicationDecade 2020
PublicationPlace London, England
PublicationPlace_xml – name: London, England
– name: London
PublicationTitle Journal of intelligent & fuzzy systems
PublicationYear 2021
Publisher SAGE Publications
Sage Publications Ltd
Publisher_xml – name: SAGE Publications
– name: Sage Publications Ltd
References 2015; 12
2014; 238
1982; 38
2005; 151
1991; 39
2004; 147
2002; 131
1986; 31
2015; 267
2011; 61
2020; 39
2014; 27
2019; 19
2010; 161
1978; 1
2018; 40
1970; 94
1981; 82
2006; 157
2018; 330
2015; 28
1977; 58
1993; 55
2017; 32
1993; 53
1991; 40
1982; 8
2020; 24
2003; 29
1996; 4
2018; 32
2018; 35
Höhle (10.3233/JIFS-200702_ref11) 1982; 8
Hutton (10.3233/JIFS-200702_ref13) 1977; 58
Yue (10.3233/JIFS-200702_ref27) 2014; 27
Lowen (10.3233/JIFS-200702_ref17) 1981; 82
Burton (10.3233/JIFS-200702_ref4) 1996; 4
Al-shami (10.3233/JIFS-200702_ref1) 2020; 24
Mahanta (10.3233/JIFS-200702_ref18) 2017; 32
Höhle (10.3233/JIFS-200702_ref12) 1982; 38
Yue (10.3233/JIFS-200702_ref26) 2010; 161
Blyth (10.3233/JIFS-200702_ref3) 1970; 94
Wu (10.3233/JIFS-200702_ref33) 1986; 31
Qiu (10.3233/JIFS-200702_ref29) 2004; 147
Khedr (10.3233/JIFS-200702_ref15) 2003; 29
Rodabaugh (10.3233/JIFS-200702_ref31) 1991; 40
Bag (10.3233/JIFS-200702_ref2) 2005; 151
Ying (10.3233/JIFS-200702_ref24) 1993; 55
Gutiérrez García (10.3233/JIFS-200702_ref8) 2018; 330
Zhang (10.3233/JIFS-200702_ref35) 2002; 131
Ramadan (10.3233/JIFS-200702_ref30) 2015; 28
Khalaf (10.3233/JIFS-200702_ref14) 2018; 40
Höhle (10.3233/JIFS-200702_ref10) 1978; 1
Wu (10.3233/JIFS-200702_ref34) 2018; 35
Mardones-Pérez (10.3233/JIFS-200702_ref19) 2015; 267
Yue (10.3233/JIFS-200702_ref28) 2015; 12
10.3233/JIFS-200702_ref6
Kim (10.3233/JIFS-200702_ref16) 2019; 19
Yan (10.3233/JIFS-200702_ref21) 2014; 238
Ying (10.3233/JIFS-200702_ref22) 1991; 39
Yue (10.3233/JIFS-200702_ref25) 2006; 157
Gutiérrez García (10.3233/JIFS-200702_ref7) 2006; 157
Shabir (10.3233/JIFS-200702_ref20) 2011; 61
El-Shafei (10.3233/JIFS-200702_ref5) 2018; 32
Ying (10.3233/JIFS-200702_ref23) 1993; 53
References_xml – volume: 31
  start-page: 716
  year: 1986
  end-page: 716
  article-title: (QL) topological linear spaces and fuzzy uniform spaces
  publication-title: Chinese Science Bulletin
– volume: 157
  start-page: 755
  issue: 6
  year: 2006
  end-page: 766
  article-title: Hutton [0, 1]-quasi-uniformities induced by fuzzy (quasi-)metric spaces
  publication-title: Fuzzy Sets and Systems
– volume: 32
  start-page: 4755
  issue: 13
  year: 2018
  end-page: 4771
  article-title: Partial soft separation axioms and soft compact spaces
  publication-title: Filomat
– volume: 27
  start-page: 1153
  year: 2014
  end-page: 1159
  article-title: Fuzzy partial (pseudo-)metric spaces
  publication-title: Journal of Intelligent & Fuzzy Systems
– volume: 35
  start-page: 579
  year: 2018
  end-page: 588
  article-title: Pointwise ( , )-fuzzy uniformities induced by ( , )-fuzzy pseudo-metric and pointwise pseudo-metric chains
  publication-title: Journal of Intelligent & Fuzzy Systems
– volume: 131
  start-page: 337
  year: 2002
  end-page: 346
  article-title: Stratified Hutton uniform spaces
  publication-title: Fuzzy Sets and Systems
– volume: 151
  start-page: 513
  year: 2005
  end-page: 547
  article-title: Fuzzy bounded linear operators
  publication-title: Fuzzy Sets and Systems
– volume: 53
  start-page: 93
  year: 1993
  end-page: 104
  article-title: Fuzzifying uniform spaces
  publication-title: Fuzzy Sets and Systems
– volume: 40
  start-page: 27
  issue: 1
  year: 2018
  end-page: 46
  article-title: Preproximity, uniformity spaces and applications of ( , ) fuzzifying matroid
  publication-title: Honam Mathematical Journal
– volume: 32
  start-page: 443
  issue: 1
  year: 2017
  end-page: 450
  article-title: Fuzzy soft topological spaces
  publication-title: Journal of Intelligent & Fuzzy Systems
– volume: 39
  issue: 3
  year: 2020
  article-title: Applications of partial belong and total non-belong relations on soft separation axioms and decision-making problem
  publication-title: Computational and Applied Mathematics
– volume: 238
  start-page: 89
  year: 2014
  end-page: 101
  article-title: Fuzzifying topologies on the space of linear operators
  publication-title: Fuzzy Sets and Systems
– volume: 161
  start-page: 1105
  year: 2010
  end-page: 1116
  article-title: On fuzzy pseudo-metric spaces
  publication-title: Fuzzy Sets and Systems
– volume: 12
  start-page: 43
  issue: 1
  year: 2015
  end-page: 57
  article-title: Uniformities in fuzzy metric spaces
  publication-title: Iranian Journal of Fuzzy Systems
– volume: 19
  start-page: 28
  issue: 1
  year: 2019
  end-page: 39
  article-title: Categories of Alexandrov -fuzzy pre-uniformities, -approximation operators and Alexandrov -fuzzy topologies
  publication-title: International Journal of Fuzzy Logic and Intelligent Systems
– volume: 147
  start-page: 249
  year: 2004
  end-page: 272
  article-title: Fuzzifying topological linear spaces
  publication-title: Fuzzy Sets and Systems
– volume: 1
  start-page: 311
  year: 1978
  end-page: 332
  article-title: Probabilistic uniformization of fuzzy topologies
  publication-title: Fuzzy Sets and Systems
– volume: 39
  start-page: 303
  year: 1991
  end-page: 321
  article-title: A new approach for fuzzy topology (I)
  publication-title: Fuzzy Sets and Systems
– volume: 330
  start-page: 52
  year: 2018
  end-page: 78
  article-title: On fuzzy uniformities induced by a fuzzy metric space
  publication-title: Fuzzy Sets and Systems
– volume: 38
  start-page: 289
  year: 1982
  end-page: 323
  article-title: Probabilistic topologies induced by -fuzzy uniformities
  publication-title: Manuscripta Mathematica
– volume: 28
  start-page: 2319
  year: 2015
  end-page: 2327
  article-title: Relationships between -fuzzy quasi-uniform structures and -fuzzy topologies
  publication-title: Journal of Intelligent & Fuzzy Systems
– volume: 24
  start-page: 5377
  year: 2020
  end-page: 5387
  article-title: Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone
  publication-title: Soft computing
– volume: 40
  start-page: 297
  year: 1991
  end-page: 345
  article-title: Point-set lattice-theoretic topology
  publication-title: Fuzzy Sets and Systems
– volume: 82
  start-page: 370
  year: 1981
  end-page: 385
  article-title: Fuzzy uniform spaces
  publication-title: Journal of Mathematical Analysis and Applications
– volume: 61
  start-page: 1786
  issue: 7
  year: 2011
  end-page: 1799
  article-title: On soft topological spaces
  publication-title: Computers & Mathematicas with Applications
– volume: 58
  start-page: 559
  year: 1977
  end-page: 571
  article-title: Uniformities on fuzzy topological spaces
  publication-title: Journal of Mathematical Analysis and Applications
– volume: 29
  start-page: 83
  issue: 1
  year: 2003
  end-page: 92
  article-title: Fuzzifying proximity and strong fuzzifying uniformity
  publication-title: Soochow Journal of Mathematics
– volume: 157
  start-page: 1956
  year: 2006
  end-page: 1969
  article-title: Extension of Shi’s quasi-uniformities in a Kubiak-Šostak sense
  publication-title: Fuzzy Sets and Systems
– volume: 94
  start-page: 101
  year: 1970
  end-page: 111
  article-title: Sur certaines images homomorphes des demi-groupes ordonns
  publication-title: Bulletin de la Société Mathématique de France
– volume: 4
  start-page: 363
  year: 1996
  end-page: 380
  article-title: Generalized uniform spaces
  publication-title: The Journal of Fuzzy Mathematics
– volume: 267
  start-page: 117
  year: 2015
  end-page: 132
  article-title: Fuzzy pseudometric spaces vs fuzzifying structures
  publication-title: Fuzzy Sets and Systems
– volume: 55
  start-page: 193
  year: 1993
  end-page: 207
  article-title: A new approach to fuzzy topology (III)
  publication-title: Fuzzy Sets and Systems
– volume: 8
  start-page: 63
  year: 1982
  end-page: 69
  article-title: Probabilistic metrization of fuzzy uniformities
  publication-title: Fuzzy Sets and Systems
– volume: 161
  start-page: 1105
  year: 2010
  ident: 10.3233/JIFS-200702_ref26
  article-title: On fuzzy pseudo-metric spaces
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2009.10.001
– volume: 61
  start-page: 1786
  issue: 7
  year: 2011
  ident: 10.3233/JIFS-200702_ref20
  article-title: On soft topological spaces
  publication-title: Computers & Mathematicas with Applications
  doi: 10.1016/j.camwa.2011.02.006
– volume: 38
  start-page: 289
  year: 1982
  ident: 10.3233/JIFS-200702_ref12
  article-title: Probabilistic topologies induced by L-fuzzy uniformities
  publication-title: Manuscripta Mathematica
  doi: 10.1007/BF01170928
– volume: 40
  start-page: 27
  issue: 1
  year: 2018
  ident: 10.3233/JIFS-200702_ref14
  article-title: Preproximity, uniformity spaces and applications of (E, L) fuzzifying matroid
  publication-title: Honam Mathematical Journal
– volume: 40
  start-page: 297
  year: 1991
  ident: 10.3233/JIFS-200702_ref31
  article-title: Point-set lattice-theoretic topology
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(91)90164-L
– volume: 157
  start-page: 1956
  year: 2006
  ident: 10.3233/JIFS-200702_ref25
  article-title: Extension of Shi’s quasi-uniformities in a Kubiak-Šostak sense
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2006.03.013
– volume: 267
  start-page: 117
  year: 2015
  ident: 10.3233/JIFS-200702_ref19
  article-title: Fuzzy pseudometric spaces vs fuzzifying structures
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2014.06.003
– volume: 27
  start-page: 1153
  year: 2014
  ident: 10.3233/JIFS-200702_ref27
  article-title: Fuzzy partial (pseudo-)metric spaces
  publication-title: Journal of Intelligent & Fuzzy Systems
  doi: 10.3233/IFS-131078
– ident: 10.3233/JIFS-200702_ref6
  doi: 10.1007/s40314-020-01161-3
– volume: 147
  start-page: 249
  year: 2004
  ident: 10.3233/JIFS-200702_ref29
  article-title: Fuzzifying topological linear spaces
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2003.10.024
– volume: 31
  start-page: 716
  year: 1986
  ident: 10.3233/JIFS-200702_ref33
  article-title: (QL) topological linear spaces and fuzzy uniform spaces
  publication-title: Chinese Science Bulletin
– volume: 39
  start-page: 303
  year: 1991
  ident: 10.3233/JIFS-200702_ref22
  article-title: A new approach for fuzzy topology (I)
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(91)90100-5
– volume: 94
  start-page: 101
  year: 1970
  ident: 10.3233/JIFS-200702_ref3
  article-title: Sur certaines images homomorphes des demi-groupes ordonns
  publication-title: Bulletin de la Société Mathématique de France
– volume: 8
  start-page: 63
  year: 1982
  ident: 10.3233/JIFS-200702_ref11
  article-title: Probabilistic metrization of fuzzy uniformities
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(82)90030-6
– volume: 4
  start-page: 363
  year: 1996
  ident: 10.3233/JIFS-200702_ref4
  article-title: Generalized uniform spaces
  publication-title: The Journal of Fuzzy Mathematics
– volume: 53
  start-page: 93
  year: 1993
  ident: 10.3233/JIFS-200702_ref23
  article-title: Fuzzifying uniform spaces
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(93)90525-M
– volume: 12
  start-page: 43
  issue: 1
  year: 2015
  ident: 10.3233/JIFS-200702_ref28
  article-title: Uniformities in fuzzy metric spaces
  publication-title: Iranian Journal of Fuzzy Systems
– volume: 238
  start-page: 89
  year: 2014
  ident: 10.3233/JIFS-200702_ref21
  article-title: Fuzzifying topologies on the space of linear operators
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2013.07.013
– volume: 24
  start-page: 5377
  year: 2020
  ident: 10.3233/JIFS-200702_ref1
  article-title: Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone
  publication-title: Soft computing
  doi: 10.1007/s00500-019-04295-7
– volume: 28
  start-page: 2319
  year: 2015
  ident: 10.3233/JIFS-200702_ref30
  article-title: Relationships between L-fuzzy quasi-uniform structures and L-fuzzy topologies
  publication-title: Journal of Intelligent & Fuzzy Systems
  doi: 10.3233/IFS-141515
– volume: 58
  start-page: 559
  year: 1977
  ident: 10.3233/JIFS-200702_ref13
  article-title: Uniformities on fuzzy topological spaces
  publication-title: Journal of Mathematical Analysis and Applications
  doi: 10.1016/0022-247X(77)90192-5
– volume: 19
  start-page: 28
  issue: 1
  year: 2019
  ident: 10.3233/JIFS-200702_ref16
  article-title: Categories of Alexandrov L-fuzzy pre-uniformities, L-approximation operators and Alexandrov L-fuzzy topologies
  publication-title: International Journal of Fuzzy Logic and Intelligent Systems
  doi: 10.5391/IJFIS.2019.19.1.28
– volume: 151
  start-page: 513
  year: 2005
  ident: 10.3233/JIFS-200702_ref2
  article-title: Fuzzy bounded linear operators
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2004.05.004
– volume: 32
  start-page: 443
  issue: 1
  year: 2017
  ident: 10.3233/JIFS-200702_ref18
  article-title: Fuzzy soft topological spaces
  publication-title: Journal of Intelligent & Fuzzy Systems
  doi: 10.3233/JIFS-152165
– volume: 157
  start-page: 755
  issue: 6
  year: 2006
  ident: 10.3233/JIFS-200702_ref7
  article-title: Hutton [0, 1]-quasi-uniformities induced by fuzzy (quasi-)metric spaces
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2005.11.002
– volume: 35
  start-page: 579
  year: 2018
  ident: 10.3233/JIFS-200702_ref34
  article-title: Pointwise (L, M)-fuzzy uniformities induced by (L, M)-fuzzy pseudo-metric and pointwise pseudo-metric chains
  publication-title: Journal of Intelligent & Fuzzy Systems
  doi: 10.3233/JIFS-152492
– volume: 82
  start-page: 370
  year: 1981
  ident: 10.3233/JIFS-200702_ref17
  article-title: Fuzzy uniform spaces
  publication-title: Journal of Mathematical Analysis and Applications
  doi: 10.1016/0022-247X(81)90202-X
– volume: 131
  start-page: 337
  year: 2002
  ident: 10.3233/JIFS-200702_ref35
  article-title: Stratified Hutton uniform spaces
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/S0165-0114(02)00046-5
– volume: 29
  start-page: 83
  issue: 1
  year: 2003
  ident: 10.3233/JIFS-200702_ref15
  article-title: Fuzzifying proximity and strong fuzzifying uniformity
  publication-title: Soochow Journal of Mathematics
– volume: 1
  start-page: 311
  year: 1978
  ident: 10.3233/JIFS-200702_ref10
  article-title: Probabilistic uniformization of fuzzy topologies
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(78)90021-0
– volume: 330
  start-page: 52
  year: 2018
  ident: 10.3233/JIFS-200702_ref8
  article-title: On fuzzy uniformities induced by a fuzzy metric space
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2017.05.001
– volume: 32
  start-page: 4755
  issue: 13
  year: 2018
  ident: 10.3233/JIFS-200702_ref5
  article-title: Partial soft separation axioms and soft compact spaces
  publication-title: Filomat
  doi: 10.2298/FIL1813755E
– volume: 55
  start-page: 193
  year: 1993
  ident: 10.3233/JIFS-200702_ref24
  article-title: A new approach to fuzzy topology (III)
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(93)90132-2
SSID ssj0017520
Score 2.2467468
Snippet The main purpose of this paper is to study Hutton type fuzzifying uniformities on linear spaces. Firstly, we show that if a base of a fuzzifying uniformity...
SourceID proquest
crossref
sage
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 10453
SubjectTerms Topology
Vector spaces
Title Linear fuzzifying uniformities
URI https://journals.sagepub.com/doi/full/10.3233/JIFS-200702
https://www.proquest.com/docview/2543808638
Volume 40
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1JS8QwFA4uFz2IK44bI3gSotMknUmPog6jqBdnYPRSkibVAa2i7cH59b406aJUUC-lpHktzde-LXlfEDpQkY7A8ClsuLcwE4JjIQn8V2AtJWhDGuRVrtc33cGIXY79cbFXuasuSeVRNG2sK_kPqtAGuJoq2T8gW94UGuAc8IUjIAzHX2EMgaTh4Ymz6XRi65WyxFRaPec0qT_4nZOShDPNcTfSH47RuVpPaKkF7h91gu-yUjXYbOnpS_KAB5moZwyIV8sYWCUHbggGu-4oqG0bxC2YB3ZrjEIzWiIl9wXU1RzEcJbi19lMM1HMmhQyJSZh3L-86N_mWdEOqexOMdf-zRyViwQhPDHioREOrfAsmicQDoA-mz85u766LeeLej6xvBPuzWwlphE_rj37q-9RBRS1NXy5WzFcRksOl_aJBXcFzehkFS3WWCLX0J6FuV3B3K7DvI5G_fPh6QC7bS1wRAKWYqZIEENUx6kKVBwHPR31AvDcJOWEqUBz6cWS-mDBupxHKmaeIFIowTpUSh-6baC55CXRm6hNIy6050tP-5pxvytFj4LBUoRo5oEub6HD4oXDyHG-m61HnsKGwW2hg7Lzq6U6ae62U4xc6P6F99BQKnCIjilvoX0zmtWlhlts_e5J22ih-nx30Fz6luldcAFTuefw_wQTIlWk
linkProvider EBSCOhost
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Linear+fuzzifying+uniformities&rft.jtitle=Journal+of+intelligent+%26+fuzzy+systems&rft.au=Jin%2C+Zhen-Yu&rft.au=Yan%2C+Cong-Hua&rft.date=2021-01-01&rft.issn=1064-1246&rft.eissn=1875-8967&rft.volume=40&rft.issue=6&rft.spage=10453&rft.epage=10464&rft_id=info:doi/10.3233%2FJIFS-200702&rft.externalDBID=n%2Fa&rft.externalDocID=10_3233_JIFS_200702
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1064-1246&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1064-1246&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1064-1246&client=summon