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Title: Pairwise fuzzy connectedness between fuzzy sets (English)
Author: Thakur, S. S.
Author: Philip, Annamma
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 122
Issue: 4
Year: 1997
Pages: 375-380
Summary lang: English
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Category: math
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Summary: In this paper the concept of fuzzy connectedness between fuzzy sets is generalized to fuzzy bitopological spaces and some of its properties are studied. (English)
Keyword: fuzzy bitopological spaces
Keyword: pairwise fuzzy connectedness
Keyword: $(i,j)$-fuzzy clopen
MSC: 04A72
MSC: 54A40
idZBL: Zbl 0897.54004
idMR: MR1489398
DOI: 10.21136/MB.1997.126217
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Date available: 2009-09-24T21:27:46Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/126217
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Reference: [2] C. L. Chang: Fuzzy topological spaces.J. Math. Anal. Appl. 24 (1968), 182-190. Zbl 0167.51001, MR 0236859, 10.1016/0022-247X(68)90057-7
Reference: [3] U. V. Fetteh D. S. Bassan: Fuzzy connectedness and its stronger forms.J. Math. Anal. Appl. III (1985), 449-464. MR 0813222
Reference: [4] M. H. Ghanim E. E. Kerre A. S. Mashhour: Separation axioms, subspaces and sums in fuzzy topology.J. Math. Anal. Appl. 102 (1984), 189-202. MR 0751352, 10.1016/0022-247X(84)90212-9
Reference: [5] A. Kandil: Biproximities and fuzzy topological spaces.Simon Stevin 63 (1989), 45-46. MR 1021455
Reference: [6] S. N. Maheshwari S. S. Thakur, Rita Malviya: Conectedness between fuzzy sets.J. Fuzzy Math. 1 (1993), no. 4, 757-759. MR 1249187
Reference: [7] M. N. Mukherjee: Pairwise set connected mappings in bitopological spaces.Indian J. Pure Appl. Math 16 (1989), no. 9, 1106-1113. MR 0864150
Reference: [8] P. M. Pu Y. M. Liu: Fuzzy topology 1, Neighbourhood structure of a fuzzy point and Moore Smith convergence.J. Math. Anal. Appl. 76 (1980), 571-599. MR 0587361, 10.1016/0022-247X(80)90048-7
Reference: [9] S. S. Thakur, Annamma Philip: Connectedness in fuzzy bitopological spaces.Epsilon J. Math. (Submitted).
Reference: [10] L. A. Zadeh: Fuzzy sets.Inform. and Control (Shenyang) 8 (1965), 338-353. Zbl 0139.24606, MR 0219427, 10.1016/S0019-9958(65)90241-X
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