Research Article

THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS

Volume: 4 Number: 1 January 31, 2021
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

  1. Referans1 Atanassov K.T. “Intuitionistic Fuzzy Sets”, VII ITKR.s Session, So.a, June (1983)
  2. Referans2 Atanassov K.T., Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988
  3. Referans3 Atanassov K.T., Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159-174
  4. Referans4 Atanassov K.T., Gargov. G., Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 31, 1989, No. 3, 343-349
  5. Referans5 Atanassov K.T., “Intuitionistic Fuzzy Sets, Theory and Applications”, Physica-Verlag Heidelberg, Germany, 319 s., (1999)
  6. Referans6 Birkhoff G., “Lattice Theory”, American Mathematical Society, United States of America, 418 s., (1940)
  7. Referans7 Gorzalczany M., Interval-valued fuzzy inference metdod-some basic properties. Fuzzy Sets and Systems, Vol. 31, 1989, No. 2, 243-251.
  8. 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

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