Abstract
References
- Referans1 Atanassov K.T. “Intuitionistic Fuzzy Sets”, VII ITKR.s Session, So.a, June (1983)
- Referans2 Atanassov K.T., Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988
- Referans3 Atanassov K.T., Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159-174
- Referans4 Atanassov K.T., Gargov. G., Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 31, 1989, No. 3, 343-349
- Referans5 Atanassov K.T., “Intuitionistic Fuzzy Sets, Theory and Applications”, Physica-Verlag Heidelberg, Germany, 319 s., (1999)
- Referans6 Birkhoff G., “Lattice Theory”, American Mathematical Society, United States of America, 418 s., (1940)
- Referans7 Gorzalczany M., Interval-valued fuzzy inference metdod-some basic properties. Fuzzy Sets and Systems, Vol. 31, 1989, No. 2, 243-251.
- Referans8 Kaufmann A., Introduction a la Theorie des Sour-Ensembles Flous, Paris, Masson, 1977.
- Referans9 R. Sambuc, Functions ϕ-flous.Aplication a li’aide au diagnostic en pathologie thyrodene, These, Universite de Marseiile (1975)
- Referans10 Turksen I., Interval valued fuzzy sets based normal forms. Fuzzy Sets and Systems, Vol. 20, 1986, No. 2, 191-210
- Referans11 Zadeh, L. A. “Fuzzy Sets”, Information and Control, 8: 338-353, (1965)
Abstract
In this paper, the new set di§erence is deÖned between interval- ued intuitionistic fuzzy sets (IVIFSs).A di§erent perspective is reduced to the formal set di§erence between IVIFSs. This new set difference between IVIFSs is introduced by using : operation. Instead of comparing this operator with all other set di§erence operations, the set difference operation which is defined by using \ is used.
Some fundamentel properties which are provided and not provided on sets are examined whether satisfy or not satisfy on alpha-operation. By the help of these examinations, it is seen that alpha and beta operations have di§erent prop- erties. The new properties abaout set difference are studied.
Keywords
Interval Valued Intuitionistic Fuzzy Sets Set Difference Operations over Interval Valued Intuitionistic Fuzzy Sets
References
- Referans1 Atanassov K.T. “Intuitionistic Fuzzy Sets”, VII ITKR.s Session, So.a, June (1983)
- Referans2 Atanassov K.T., Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988
- Referans3 Atanassov K.T., Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159-174
- Referans4 Atanassov K.T., Gargov. G., Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 31, 1989, No. 3, 343-349
- Referans5 Atanassov K.T., “Intuitionistic Fuzzy Sets, Theory and Applications”, Physica-Verlag Heidelberg, Germany, 319 s., (1999)
- Referans6 Birkhoff G., “Lattice Theory”, American Mathematical Society, United States of America, 418 s., (1940)
- Referans7 Gorzalczany M., Interval-valued fuzzy inference metdod-some basic properties. Fuzzy Sets and Systems, Vol. 31, 1989, No. 2, 243-251.
- Referans8 Kaufmann A., Introduction a la Theorie des Sour-Ensembles Flous, Paris, Masson, 1977.
- Referans9 R. Sambuc, Functions ϕ-flous.Aplication a li’aide au diagnostic en pathologie thyrodene, These, Universite de Marseiile (1975)
- Referans10 Turksen I., Interval valued fuzzy sets based normal forms. Fuzzy Sets and Systems, Vol. 20, 1986, No. 2, 191-210
- Referans11 Zadeh, L. A. “Fuzzy Sets”, Information and Control, 8: 338-353, (1965)
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | January 16, 2021 |
| Acceptance Date | February 18, 2021 |
| Publication Date | January 31, 2021 |
| Published in Issue | Year 2021 Volume: 4 Issue: 1 |