Title:
|
Pairwise fuzzy irresolute mappings (English) |
Author:
|
Thakur, S. S. |
Author:
|
Malviya, R. |
Language:
|
English |
Journal:
|
Mathematica Bohemica |
ISSN:
|
0862-7959 (print) |
ISSN:
|
2464-7136 (online) |
Volume:
|
121 |
Issue:
|
3 |
Year:
|
1996 |
Pages:
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273-280 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
In this paper the concepts of fuzzy irresolute and fuzzy presemiopen mappings due to Yalvac [12] are generalized to fuzzy bitopological spaces and their basic properties and characterizations are studied. (English) |
Keyword:
|
fuzzy bitopological spaces |
Keyword:
|
$(i, j)$-fuzzy semiopen |
Keyword:
|
$(i, j)$-fuzzy semiclosed |
Keyword:
|
$(i,j)$-semineighbourhood |
Keyword:
|
$(i,j)$-semi-$Q$-neighbourhood |
MSC:
|
04A72 |
MSC:
|
54A40 |
idZBL:
|
Zbl 0879.54006 |
idMR:
|
MR1419881 |
DOI:
|
10.21136/MB.1996.125992 |
. |
Date available:
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2009-09-24T21:19:35Z |
Last updated:
|
2020-07-29 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/125992 |
. |
Reference:
|
[1] K. K. Azad: On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity.J. Math. Anal. Appl. 82 (1981), 14-32. MR 0626738, 10.1016/0022-247X(81)90222-5 |
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] M. H. Ghanim E. E. Kerre, A. S. Mashhour: Separation axiom, subspaces and sums in fuzzy topology.J. Math. Anal. Appl. 102 (1984), 189-202. MR 0751352, 10.1016/0022-247X(84)90212-9 |
Reference:
|
[4] A. Kandil: Biproximities and fuzzy bitopological spaces.Simon Stevin 63 (1989), 45-66. Zbl 0681.54015, MR 1021455 |
Reference:
|
[5] N. Levine: Semi-open sets and semi continuity in topological spaces.Amer. Math. Monthly 70 (1963), 36-41. Zbl 0113.16304, MR 0166752, 10.1080/00029890.1963.11990039 |
Reference:
|
[6] S. N. Maheshwari, R. Prasad: Semi-open sets and semi continuity in bitopological spaces.Math. Notae XXVI (1977), 29-37. MR 0536731 |
Reference:
|
[7] S. N. Maheshwari, R. Prasad: Pairwise irresolute functions.Mathematica 18 (1976), no. 2, 169-172. Zbl 0387.54015, MR 0493987 |
Reference:
|
[8] P. M. Pu, Y. M. Liu: Fuzzy topology I, Neighbourhood structure of a fuzzy point and Moore Smith Convergence.J. Math. Anal. Appl. 76 (1980), 371-599. MR 0587361 |
Reference:
|
[9] P. M. Pu, Y. M. Liu: Fuzzy topology II, Product and Quotient spaces.J. Math. Anal. Appl. 77 (1980), 20-37. Zbl 0447.54007, MR 0591259 |
Reference:
|
[10] S. S. Thakur, R. Malviya: Semi open sets and semi continuity in fuzzy bitopological spaces.Fuzzy Sets and Systems. (Accepted). Zbl 0867.54016 |
Reference:
|
[11] T. H. Yalvac: Fuzzy sets and functions on fuzzy spaces.J. Math. Anal. Appl. 120 (1987), 409-423. Zbl 0639.54004, MR 0900757 |
Reference:
|
[12] T. H. Yalvac: Semi interior and semi closure of a fuzzy set.J. Math. Anal. Appl. 132 (1988), 356-364. Zbl 0645.54007, MR 0943512, 10.1016/0022-247X(88)90067-4 |
Reference:
|
[13] L. A. Zadeh: Fuzzy sets.Inform. and Control 8 (1965), 338-353. Zbl 0139.24606, MR 0219427, 10.1016/S0019-9958(65)90241-X |
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