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Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Issue:T-Lower level set and t-upper level set of an intuitionistic fuzzy set: Difference between revisions
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{{issue/title | {{issue/title | ||
| title = ''t''-Lower level set and ''t''-upper level set of an intuitionistic fuzzy set | | title = ''t''-Lower level set and ''t''-upper level set of an intuitionistic fuzzy set | ||
| shortcut = nifs/28/4/ | | shortcut = nifs/28/4/375-380 | ||
}} | }} | ||
{{issue/author | {{issue/author | ||
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{{issue/data | {{issue/data | ||
| conference = 8th IFS and Contemporary Mathematics (IFSCOM) Conference, 16–19 June 2022, Türkiye | | conference = 8th IFS and Contemporary Mathematics (IFSCOM) Conference, 16–19 June 2022, Türkiye | ||
| issue = [[Notes on Intuitionistic Fuzzy Sets/28/4|Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4]], pages | | issue = [[Notes on Intuitionistic Fuzzy Sets/28/4|Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4]], pages 375–380 | ||
| doi = https://doi.org/10.7546/nifs.2022.28.4. | | doi = https://doi.org/10.7546/nifs.2022.28.4.375-380 | ||
| file = NIFS-28-4- | | file = NIFS-28-4-375-380.pdf | ||
| format = PDF | | format = PDF | ||
| size = 157 | | size = 157 | ||
| abstract = In this paper we give the definitions of ''t''-lower level set (''L''<sub>''t''</sub>(''A'')) and ''t''-upper level set (''U''<sub>''t''</sub>(''A'')) of an Intuitionistic fuzzy set. [1] A ''t''-lower level set is defined by giving a lower boundary | | abstract = In this paper we give the definitions of ''t''-lower level set (''L''<sub>''t''</sub>(''A'')) and ''t''-upper level set (''U''<sub>''t''</sub>(''A'')) of an Intuitionistic fuzzy set. [1] A ''t''-lower level set is defined by giving a lower boundary on ''μ''<sub>''A''</sub>(''x'') + ''ν''<sub>''A''</sub>(''x''). A t-upper level set is defined by giving an upper boundary on ''μ''<sub>''A''</sub>(''x'') + ''ν''<sub>''A''</sub>(''x''). If ''A'' is an Intuitionistic fuzzy set of ''X'', then ''L''<sub>''t''</sub>(''A'') and ''U''<sub>''t''</sub>(''A'') are subsets of ''X''. In this paper we give some theorems by using ''t''-lower level sets and ''t''-upper level sets and prove them. | ||
on ''μ''<sub>''A''</sub>(''x'') + ''ν''<sub>''A''</sub>(''x''). A t-upper level set is defined by giving an upper boundary on ''μ''<sub>''A''</sub>(''x'') + ''ν''<sub>''A''</sub>(''x''). If ''A'' is an Intuitionistic fuzzy set of ''X'', then ''L''<sub>''t''</sub>(''A'') and ''U''<sub>''t''</sub>(''A'') are subsets of ''X''. In this paper we give some theorems by using ''t''-lower level sets and ''t''-upper level sets and prove them. | |||
| keywords = Intuitionistic fuzzy sets, ''t''-lower level sets, ''t''-upper level sets, Cut of intuitionistic fuzzy set. | | keywords = Intuitionistic fuzzy sets, ''t''-lower level sets, ''t''-upper level sets, Cut of intuitionistic fuzzy set. | ||
| ams = 03F55, 03G25, 13C05, 13C13, 13A15. | | ams = 03F55, 03G25, 13C05, 13C13, 13A15. |
Latest revision as of 20:36, 12 December 2022
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