EN
THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS
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
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.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
January 31, 2021
Submission Date
January 16, 2021
Acceptance Date
February 18, 2021
Published in Issue
Year 2021 Volume: 4 Number: 1
APA
Bal, A., & Çuvalcıoğlu, G. (2021). THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. Journal of Universal Mathematics, 4(1), 42-50. https://doi.org/10.33773/jum.862564
AMA
1.Bal A, Çuvalcıoğlu G. THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. JUM. 2021;4(1):42-50. doi:10.33773/jum.862564
Chicago
Bal, Arif, and Gökhan Çuvalcıoğlu. 2021. “THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS”. Journal of Universal Mathematics 4 (1): 42-50. https://doi.org/10.33773/jum.862564.
EndNote
Bal A, Çuvalcıoğlu G (January 1, 2021) THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. Journal of Universal Mathematics 4 1 42–50.
IEEE
[1]A. Bal and G. Çuvalcıoğlu, “THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS”, JUM, vol. 4, no. 1, pp. 42–50, Jan. 2021, doi: 10.33773/jum.862564.
ISNAD
Bal, Arif - Çuvalcıoğlu, Gökhan. “THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS”. Journal of Universal Mathematics 4/1 (January 1, 2021): 42-50. https://doi.org/10.33773/jum.862564.
JAMA
1.Bal A, Çuvalcıoğlu G. THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. JUM. 2021;4:42–50.
MLA
Bal, Arif, and Gökhan Çuvalcıoğlu. “THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS”. Journal of Universal Mathematics, vol. 4, no. 1, Jan. 2021, pp. 42-50, doi:10.33773/jum.862564.
Vancouver
1.Arif Bal, Gökhan Çuvalcıoğlu. THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. JUM. 2021 Jan. 1;4(1):42-50. doi:10.33773/jum.862564
Cited By
Research on Comparative Analysis of Intuitionistic Fuzzy PROMETHEE and TOPSIS Methods
Recep Tayyip Erdoğan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi
https://doi.org/10.53501/rteufemud.1663782