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Volume 29 (2024)
Volume 29, Issue 1 (In Progress)
Pg 1 - 37 (June 2024)
Volume 28 (2023)
Volume 28, Issue 2
Pg 65 - 119 (December 2023)
Volume 28, Issue 1
Pg 1 - 64 (June 2023)
Volume 27 (2022)
Volume 27, Issue 2
Pg 169 - 273 (December 2022)
Volume 27, Issue 1
Pg 1 - 167 (June 2022)
Volume 26 (2021)
Volume 26, Issue 2
Pg 103 - 209 (December 2021)
Volume 26, Issue 1
Pg 1 - 101 (June 2021)
Volume 25 (2020)
Volume 25, Issue 2
Pg 85 - 142 (December 2020)
Volume 25, Issue 1
Pg 1 - 84 (June 2020)
Volume 24 (2019)
Volume 24, Issue 2
Pg 55 - 100 (December 2019)
Volume 24, Issue 1
Pg 1 - 54 (June 2019)
Volume 23 (2018)
Volume 23, Issue 2-3
Pg 73 - 127 (November 2018)
Volume 23, Issue 1
Pg 1 - 72 (May 2018)
Volume 22 (2017)
Volume 22, Issue 4
Pg 193 - 223 (December 2017)
Volume 22, Issue 3
Pg 137 - 191 (September 2017)
Volume 22, Issue 2
Pg 71 - 136 (June 2017)
Volume 22, Issue 1
Pg 1 - 70 (March 2017)
Volume 21 (2016)
Volume 21, Issue 4
Pg 265 - 315 (December 2016)
Volume 21, Issue 3
Pg 187 - 264 (September 2016)
Volume 21, Issue 2
Pg 107 - 185 (June 2016)
Volume 21, Issue 1
Pg 1 - 105 (March 2016)
Volume 20 (2015)
Volume 20, Issue 2
Pg 97 - 188 (December 2015)
Volume 20, Issue 1
Pg 1 - 96 (September 2015)
Volume 19 (2015)
Volume 19, Issue 2
Pg 73 - 169 (June 2015)
Volume 19, Issue 1
Pg 1 - 72 (March 2015)
Volume 18 (2014)
Volume 18, Issue 2
Pg 87 - 169 (December 2014)
Volume 18, Issue 1
Pg 1 - 86 (September 2014)
Volume 17 (2014)
Volume 17, Issue 2
Pg 95 - 188 (June 2014)
Volume 17, Issue 1
Pg 1 - 93 (March 2014)
Volume 16 (2013)
Volume 16, Issue 2
Pg 65 - 123 (December 2013)
Volume 16, Issue 1
Pg 1 - 64 (October 2013)
Volume 15 (2013)
Volume 15, Issue 2
Pg 73 - 111 (August 2013)
Volume 15, Issue 1
Pg 1 - 71 (June 2013)
Volume 14 (2013)
Volume 14, Issue 2
Pg 71 - 132 (April 2013)
Volume 14, Issue 1
Pg 1 - 69 (February 2013)
Volume 13 (2012)
Volume 13, Issue 2
Pg 77 - 142 (December 2012)
Volume 13, Issue 1
Pg 1 - 75 (October 2012)
Volume 12 (2012)
Volume 12, Issue 2
Pg 79 - 143 (August 2012)
Volume 12, Issue 1
Pg 1 - 78 (June 2012)
Volume 11 (2012)
Volume 11, Issue 2
Pg 65 - 129 (April 2012)
Volume 11, Issue 1
Pg 1 - 64 (February 2012)
Volume 10 (2011)
Volume 10, Issue 2
Pg 77 - 139 (December 2011)
Volume 10, Issue 1
Pg 1 - 75 (October 2011)
Volume 9 (2011)
Volume 9, Issue 2
Pg 93 - 197 (August 2011)
Volume 9, Issue 1
Pg 1 - 91 (June 2011)
Volume 8 (2011)
Volume 8, Issue 2
Pg 61 - 124 (April 2011)
Volume 8, Issue 1
Pg 1 - 60 (February 2011)
Volume 7 (2010)
Volume 7, Issue 2
Pg 61 - 119 (December 2010)
Volume 7, Issue 1
Pg 1 - 59 (October 2010)
Volume 6 (2010)
Volume 6, Issue 2
Pg 95 - 179 (August 2010)
Volume 6, Issue 1
Pg 1 - 94 (June 2010)
Volume 5 (2010)
Volume 5, Issue 2
Pg 81 - 179 (April 2010)
Volume 5, Issue 1
Pg 1 - 80 (February 2010)
Volume 4 (2009)
Volume 4, Issue 3
Pg 237 - 355 (October 2009)
Volume 4, Issue 2
Pg 121 - 236 (June 2009)
Volume 4, Issue 1
Pg 1 - 120 (February 2009)
Volume 3 (2008)
Volume 3, Issue 3
Pg 255 - 387 (October 2008)
Volume 3, Issue 2
Pg 131 - 254 (June 2008)
Volume 3, Issue 1
Pg 1 - 129 (February 2008)
Volume 2 (2007)
Volume 2, Issue 3
Pg 217 - 320 (October 2007)
Volume 2, Issue 2
Pg 109 - 216 (June 2007)
Volume 2, Issue 1
Pg 1 - 108 (February 2007)
Volume 1 (2006)
Volume 1, Issue 3
Pg 187 - 271 (October 2006)
Volume 1, Issue 2
Pg 83 - 185 (June 2006)
Volume 1, Issue 1
Pg 1 - 81 (February 2006)
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Advances in Fuzzy Sets and Systems
Advances in Fuzzy Sets and Systems
Volume 6, Issue 2, Pages 169 - 179 (August 2010)
THE CATEGORY NFuz OF THE
n
-DIMENSIONAL FUZZY SETS
You-Guang Shang and Xue-Hai Yuan
Abstract:
In this paper, the connections between the
n
-dimensional fuzzy sets and topos theory are discussed. The category
NFuz
of the
n
-dimensional fuzzy sets is constructed. It is shown that the category
NFuz
has all topos properties except subobject classifiers. Furthermore, it is proved that the category
NFuz
has the middle object, and consequently, it forms a weak topos.
Keywords and phrases:
n
-dimensional fuzzy sets, category, topos, weak topos.
Number of Downloads:
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P-ISSN: 0973-421X
Journal Stats
Publication count:
291
Citation count (Google Scholar):
1209
h10-index (Google Scholar):
30
h-index (Google Scholar):
16
Downloads :
85615
Views:
237658
Downloads/publish articles:
294.21
Citations (Google Scholar)/publish articles:
4.15
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