Year 2021, Volume 4 , Issue 1, Pages 42 - 50 2021-01-31

THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS

Arif BAL [1] , Gökhan ÇUVALCIOĞLU [2]


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.
Interval Valued Intuitionistic Fuzzy Sets, Set Difference, Operations over Interval Valued Intuitionistic Fuzzy Sets
  • 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)
Primary Language en
Subjects Mathematics
Journal Section Research Article
Authors

Author: Arif BAL (Primary Author)
Institution: Mersin Üniversitesi
Country: Turkey


Orcid: 0000-0001-5451-3336
Author: Gökhan ÇUVALCIOĞLU
Institution: Mersin Üniversitesi
Country: Turkey


Dates

Application Date : January 16, 2021
Acceptance Date : February 18, 2021
Publication Date : January 31, 2021

Bibtex @research article { jum862564, journal = {Journal of Universal Mathematics}, issn = {2618-5660}, eissn = {2618-5660}, address = {editorinchief@junimath.com}, publisher = {Gökhan ÇUVALCIOĞLU}, year = {2021}, volume = {4}, pages = {42 - 50}, doi = {10.33773/jum.862564}, title = {THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS}, key = {cite}, author = {Bal, Arif and Çuvalcıoğlu, Gökhan} }
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 . DOI: 10.33773/jum.862564
MLA Bal, A , Çuvalcıoğlu, G . "THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS" . Journal of Universal Mathematics 4 (2021 ): 42-50 <https://dergipark.org.tr/en/pub/jum/issue/60411/862564>
Chicago Bal, A , Çuvalcıoğlu, G . "THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS". Journal of Universal Mathematics 4 (2021 ): 42-50
RIS TY - JOUR T1 - THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS AU - Arif Bal , Gökhan Çuvalcıoğlu Y1 - 2021 PY - 2021 N1 - doi: 10.33773/jum.862564 DO - 10.33773/jum.862564 T2 - Journal of Universal Mathematics JF - Journal JO - JOR SP - 42 EP - 50 VL - 4 IS - 1 SN - 2618-5660-2618-5660 M3 - doi: 10.33773/jum.862564 UR - https://doi.org/10.33773/jum.862564 Y2 - 2021 ER -
EndNote %0 Journal of Universal Mathematics THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS %A Arif Bal , Gökhan Çuvalcıoğlu %T THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS %D 2021 %J Journal of Universal Mathematics %P 2618-5660-2618-5660 %V 4 %N 1 %R doi: 10.33773/jum.862564 %U 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 2021): 42-50 . https://doi.org/10.33773/jum.862564
AMA Bal A , Çuvalcıoğlu G . THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. JUM. 2021; 4(1): 42-50.
Vancouver Bal A , Çuvalcıoğlu G . THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. Journal of Universal Mathematics. 2021; 4(1): 42-50.
IEEE A. Bal and G. Çuvalcıoğlu , "THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS", Journal of Universal Mathematics, vol. 4, no. 1, pp. 42-50, Jan. 2021, doi:10.33773/jum.862564