Browse > Article
http://dx.doi.org/10.5391/IJFIS.2006.6.1.077

Two types of uniform spaces  

Kim Yong-Chan (Department of Mathematics, Kangnung National University)
Kim Young-Sun (Department of Applied Mathematics, Pai Chai University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.6, no.1, 2006 , pp. 77-84 More about this Journal
Abstract
In strictly two-sided, commutative biquantale, we introduce the notion of Hutton $(L,\otimes)$-uniform spaces and $(L,\odot)$-uniform spaces and investigate the properties of them.
Keywords
Hutton $(L,\otimes)$-uniform spaces; $(L,\odot)$-uniform spaces;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 U. Hohle, Probabilistic topologies induced by Lfuzzy uniformities, Manuscripta Math., 38 (1982), 289-323   DOI
2 U. Hohle, S. E. Rodabaugh, Mathematics of Fuzzy Sets, Logic, Topology and Measure Theory, The Handbooks of Fuzzy Sets Series, Volume 3, Kluwer Academic Publishers, Dordrecht (1999)
3 W. Kotze, Uniform spaces, Chapter 8 in [11], 553-580
4 R. Lowen, Fuzzy uniform spaces, J. Math. Anal. Appl., 82 (1981), 370-385   과학기술학회마을   DOI
5 A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palermo 2 Ser II, 11 (1985), 89-103
6 G. Artico, R. Moresco, Fuzzy proximities according with Lowen fuzzy uniformities, Fuzzy Sets and Systems, 21 (1987), 85-98   DOI   ScienceOn
7 M. S. Ying, Fuzzifying uniform spaces, Fuzzy Sets and Systems, 53 (1993), 93-104   DOI   ScienceOn
8 P. Hajek, Metamathematices of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht (1998)
9 B. Hutton, Uniformities on fuzzy topological spaces, J. Math. Anal. Appl.,58 (1977), 559-571   DOI
10 S. K. Samanta, Fuzzy proximities and fuzzy uniformities, Fuzzy Sets and Systems, 70 (1995), 97-105   DOI   ScienceOn
11 M. S. Ying, A new approach for fuzzy topology(I), Fuzzy Sets and Systems, 39 (1991), 303-321   DOI   ScienceOn
12 J. Gutierrez Garcia, M. A. de Prade Vicente, A.P. Sostak, A unified approach to the concept of fuzzy L-uniform spaces, Chapter 3 in [15], 81-114
13 G. Artico, R. Moresco, Fuzzy proximities and totally bounded fuzzy uniformities, J. Math. Anal. Appl., 99 (1984),320-337   DOI   ScienceOn
14 Liu Ying-Ming, Luo Mao-Kang, Fuzzy topology, World Scientific Publishing Co., Singapore, 1997
15 A. K. Katsaras, Fuzzy quasi-proximities and fuzzy quasi-uniformities, Fuzzy Sets and Systems, 27 (1988),335-343   DOI   ScienceOn
16 A. P. Sostak, Basic structures of fuzzy topology, J. of Math. Sciences, 78, no 6 (1996), 662-701   DOI
17 U. Hohle, Probabilistic uniformization of fuzzy uniformities, Fuzzy Sets and Systems 1 (1978), 311-332   DOI   ScienceOn
18 S. E. Rodabaugh, Axiomatic foundations for uniform operator quasi-uniformities, Chapter 7 in [4], 199-233
19 U. Hohle, A. Sostak, Axiomatic foundations of fixedbasis fuzzy topology, Chapter 3 in [11],123-272
20 J. Gutierrez Garcia, I. Mardones Perez, M.H. Burton The relationship between various filter notions on a GL-monoid, J. Math. Anal. Appl., 230 (1999), 291-302   DOI   ScienceOn
21 E. Turunen, Mathematics Behind Fuzzy Logic, A Springer-Verlag Co., 1999
22 M. H. Burton, The relationship between a fuzzy uniformity and its family of a-level uniformities, Fuzzy Sets and Systems, 54 (1993), 311-316   DOI   ScienceOn
23 A. P. Sostak, Fuzzy syntopogeneous structures, Quaestiones Mathematicae, 20 (1997), 431-461   DOI
24 U. Hohle, E. P. Klement, Non-classical logic and their applications to fuzzy subsets, Kluwer Academic Publisher, Boston, 1995
25 U. Hohle, Many valued topology and its applications , Kluwer Academic Publisher, Boston, (2001)
26 S. E. Rodabaugh, E. P. Klement, Toplogical And Algebraic Structures In Fuzzy Sets, The Handbook of Recent Developments in the Mathematics of Fuzzy Sets, Trends in Logic 20 , Kluwer Academic Publishers, (Boston/Dordrecht/London) (2003)