Journal of applied mathematics & informatics
- Volume 26 Issue 5_6
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- Pages.1071-1084
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
INTUITIONISTIC FUZZY FILTERS OF ORDERED SEMIGROUPS
- Shabir, M. (Department of Mathematics, Quaid-i-Azam University) ;
- Khan, A. (Department of Mathematics and Statistics, Allama Iqbal Open University)
- Published : 2008.09.30
Abstract
The notion of intuitionistic fuzzy filters in ordered semigroups is introduced and relation between intuitionistic fuzzy filters and intuitionistic fuzzy prime ideals is investegated. The notion of intuitionistic fuzzy bi-ideal subsets and intuitionistic fuzzy bi-filters are provided and relation between intuitionistic fuzzy bi-filters and intuitionistic fuzzy prime bi-ideal subsets is established. The concept of intuitionistic fuzzy right filters(1eft filters) is given and their relation with intuitionistic fuzzy prime right (left) ideals is discussed.
Keywords
- Intuitionistic fuzzy sets;
- Ordered semigroups;
- Intuitionistic fuzzy filters;
- Intuitionistic fuzzy ideals;
- Intuitionistic fuzzy bi-ideal subsets;
- Intuitionistic fuzzy bi-filters;
- Intuitionistic fuzzy left ideals;
- Intuitionistic fuzzy left filters