Research Article
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Some New Equalities On The Intuitionistic Fuzzy Modal Operators

Year 2018, , 1524 - 1531, 01.12.2018
https://doi.org/10.16984/saufenbilder.338899

Abstract

In this
study, properties of the two modal operator  
defined on intuitionistic fuzzy sets were
investigated. Afterwards, some intuitionistic fuzzy operations were researched with modal operators
. New equalities were obtained and proved. 

References

  • L.A.Zadeh , “Fuzzy Sets*” , Information and Control, vol.8, pp. 338-353, 1965.
  • K.T. Atanassov, “ Intuitionistic fuzzy sets”, Fuzzy Sets and Systems , vol.20, no.1, pp. 87-96, 1986.
  • K.T. Atanassov, “ Intuitionistic Fuzzy Sets,Theory and Applications” , Physica-Verlag Heidelberg, Germany, pp. 319, 1999.
  • E. Eker, F. Tuğrul and M. Çitil, “ New equalities on the intuitionistic fuzzy operators and operations” , Notes on Intuitionistic Fuzzy Sets , vol.21, no.4, pp. 124-128, 2015.
  • K.Dencheva, “ Extension of intuitionistic fuzzy modal operators” Proc.of the Second Int. IEEE Symp. Intelligent Systems, vol.3, pp. 22-24, 2004.
  • K.T. Atanassov , “ The most general form of one type of intuitionistic fuzzy modal operators” ,Notes on Intuitionistic Fuzzy Sets, vol.12, no.2, pp. 36-38, 2006.
  • K.T. Atanassov, “ Some Properties of the operators from one type of intuitionistic fuzzy modal operators” , Advanced Studies on Contemporary Mathematics, vol.15, no.1, pp.13-20, 2007.
  • G. Çuvalcıoğlu, “ Some Properties of operator” , Advanced Studies on Contemporary Mathematics, vol. 14, no.2, pp. 305-310, 2007.
  • G. Çuvalcıoğlu, “ Expand the modal operator diagram with ” , Jangjeon Math. Soc., vol.13, no.3, pp. 403-412, 2010.
  • G.Çuvalcıoğlu, “ On the Diagram of One Type Modal Operators on Intuitionistic Fuzzy Sets: Last Expanding with ” ,Iranian J. of Fuzzy Systems, vol.10, no.1, pp. 89-106, 2013.
  • G.Çuvalcıoğlu and, S.Yılmaz, “ Some properties of OTMOs on IFSs” , Advanced Studies in Contemporary Mathematics, vol.20, no.4, pp. 621-628, 2010.
  • B. Doycheva , “ Inequalities with intuitionistic fuzzy topological and Gökhan Çuvalcıoglu’s operators” , Notes on Intuitionistic Fuzzy Sets, vol.14, no.1, pp. 20-22, 2008.

Sezgisel Bulanık Modal Operatörlerde Bazı Yeni Eşitlikler

Year 2018, , 1524 - 1531, 01.12.2018
https://doi.org/10.16984/saufenbilder.338899

Abstract

Bu
çalışmada, sezgisel bulanık kümeler üzerinde tanımlanmış iki modal operatörün
 özellikleri incelenmiştir. Ardından, bazı sezgisel
bulanık işlemler modal
operatörlerle
 birlikte araştırılmıştır. Yeni eşitlikler elde
edilmiş ve ispatları yapılmıştır. 

References

  • L.A.Zadeh , “Fuzzy Sets*” , Information and Control, vol.8, pp. 338-353, 1965.
  • K.T. Atanassov, “ Intuitionistic fuzzy sets”, Fuzzy Sets and Systems , vol.20, no.1, pp. 87-96, 1986.
  • K.T. Atanassov, “ Intuitionistic Fuzzy Sets,Theory and Applications” , Physica-Verlag Heidelberg, Germany, pp. 319, 1999.
  • E. Eker, F. Tuğrul and M. Çitil, “ New equalities on the intuitionistic fuzzy operators and operations” , Notes on Intuitionistic Fuzzy Sets , vol.21, no.4, pp. 124-128, 2015.
  • K.Dencheva, “ Extension of intuitionistic fuzzy modal operators” Proc.of the Second Int. IEEE Symp. Intelligent Systems, vol.3, pp. 22-24, 2004.
  • K.T. Atanassov , “ The most general form of one type of intuitionistic fuzzy modal operators” ,Notes on Intuitionistic Fuzzy Sets, vol.12, no.2, pp. 36-38, 2006.
  • K.T. Atanassov, “ Some Properties of the operators from one type of intuitionistic fuzzy modal operators” , Advanced Studies on Contemporary Mathematics, vol.15, no.1, pp.13-20, 2007.
  • G. Çuvalcıoğlu, “ Some Properties of operator” , Advanced Studies on Contemporary Mathematics, vol. 14, no.2, pp. 305-310, 2007.
  • G. Çuvalcıoğlu, “ Expand the modal operator diagram with ” , Jangjeon Math. Soc., vol.13, no.3, pp. 403-412, 2010.
  • G.Çuvalcıoğlu, “ On the Diagram of One Type Modal Operators on Intuitionistic Fuzzy Sets: Last Expanding with ” ,Iranian J. of Fuzzy Systems, vol.10, no.1, pp. 89-106, 2013.
  • G.Çuvalcıoğlu and, S.Yılmaz, “ Some properties of OTMOs on IFSs” , Advanced Studies in Contemporary Mathematics, vol.20, no.4, pp. 621-628, 2010.
  • B. Doycheva , “ Inequalities with intuitionistic fuzzy topological and Gökhan Çuvalcıoglu’s operators” , Notes on Intuitionistic Fuzzy Sets, vol.14, no.1, pp. 20-22, 2008.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Mehmet Çitil

Feride Tuğrul

Publication Date December 1, 2018
Submission Date September 23, 2017
Acceptance Date November 28, 2017
Published in Issue Year 2018

Cite

APA Çitil, M., & Tuğrul, F. (2018). Some New Equalities On The Intuitionistic Fuzzy Modal Operators. Sakarya University Journal of Science, 22(6), 1524-1531. https://doi.org/10.16984/saufenbilder.338899
AMA Çitil M, Tuğrul F. Some New Equalities On The Intuitionistic Fuzzy Modal Operators. SAUJS. December 2018;22(6):1524-1531. doi:10.16984/saufenbilder.338899
Chicago Çitil, Mehmet, and Feride Tuğrul. “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”. Sakarya University Journal of Science 22, no. 6 (December 2018): 1524-31. https://doi.org/10.16984/saufenbilder.338899.
EndNote Çitil M, Tuğrul F (December 1, 2018) Some New Equalities On The Intuitionistic Fuzzy Modal Operators. Sakarya University Journal of Science 22 6 1524–1531.
IEEE M. Çitil and F. Tuğrul, “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”, SAUJS, vol. 22, no. 6, pp. 1524–1531, 2018, doi: 10.16984/saufenbilder.338899.
ISNAD Çitil, Mehmet - Tuğrul, Feride. “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”. Sakarya University Journal of Science 22/6 (December 2018), 1524-1531. https://doi.org/10.16984/saufenbilder.338899.
JAMA Çitil M, Tuğrul F. Some New Equalities On The Intuitionistic Fuzzy Modal Operators. SAUJS. 2018;22:1524–1531.
MLA Çitil, Mehmet and Feride Tuğrul. “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”. Sakarya University Journal of Science, vol. 22, no. 6, 2018, pp. 1524-31, doi:10.16984/saufenbilder.338899.
Vancouver Çitil M, Tuğrul F. Some New Equalities On The Intuitionistic Fuzzy Modal Operators. SAUJS. 2018;22(6):1524-31.

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