Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
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
Jump to navigation
Jump to search
No edit summary |
mNo edit summary |
||
Line 20: | Line 20: | ||
| 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
shortcut
|
|