Research Article
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Year 2021, Volume: 4 Issue: 1, 42 - 50, 31.01.2021
https://doi.org/10.33773/jum.862564

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)

THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS

Year 2021, Volume: 4 Issue: 1, 42 - 50, 31.01.2021
https://doi.org/10.33773/jum.862564

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.

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)
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Arif Bal

Gökhan Çuvalcıoğlu 0000-0001-5451-3336

Publication Date January 31, 2021
Submission Date January 16, 2021
Acceptance Date February 18, 2021
Published in Issue Year 2021 Volume: 4 Issue: 1

Cite

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 Bal A, Çuvalcıoğlu G. THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. JUM. January 2021;4(1):42-50. doi:10.33773/jum.862564
Chicago Bal, Arif, and Gökhan Çuvalcıoğlu. “THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS”. Journal of Universal Mathematics 4, no. 1 (January 2021): 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 A. Bal and G. Çuvalcıoğlu, “THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS”, JUM, vol. 4, no. 1, pp. 42–50, 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 2021), 42-50. https://doi.org/10.33773/jum.862564.
JAMA 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, 2021, pp. 42-50, doi:10.33773/jum.862564.
Vancouver Bal A, Çuvalcıoğlu G. THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS. JUM. 2021;4(1):42-50.