Araştırma Makalesi
BibTex RIS Kaynak Göster

Some New Equalities On The Intuitionistic Fuzzy Modal Operators

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

Öz

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. 

Kaynakça

  • 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

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

Öz

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. 

Kaynakça

  • 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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Mehmet Çitil

Feride Tuğrul

Yayımlanma Tarihi 1 Aralık 2018
Gönderilme Tarihi 23 Eylül 2017
Kabul Tarihi 28 Kasım 2017
Yayımlandığı Sayı Yıl 2018

Kaynak Göster

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. Aralık 2018;22(6):1524-1531. doi:10.16984/saufenbilder.338899
Chicago Çitil, Mehmet, ve Feride Tuğrul. “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”. Sakarya University Journal of Science 22, sy. 6 (Aralık 2018): 1524-31. https://doi.org/10.16984/saufenbilder.338899.
EndNote Çitil M, Tuğrul F (01 Aralık 2018) Some New Equalities On The Intuitionistic Fuzzy Modal Operators. Sakarya University Journal of Science 22 6 1524–1531.
IEEE M. Çitil ve F. Tuğrul, “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”, SAUJS, c. 22, sy. 6, ss. 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 (Aralık 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 ve Feride Tuğrul. “Some New Equalities On The Intuitionistic Fuzzy Modal Operators”. Sakarya University Journal of Science, c. 22, sy. 6, 2018, ss. 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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