Some New Equalities On The Intuitionistic Fuzzy Modal Operators

Year 2018, Volume: 22 Issue: 6, 1524 - 1531, 01.12.2018

Mehmet Çitil , Feride Tuğrul

https://doi.org/10.16984/saufenbilder.338899

Cited By: 1

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. 

Keywords

intuitionistic fuzzy sets, modal operators

Sezgisel Bulanık Modal Operatörlerde Bazı Yeni Eşitlikler

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. 

Keywords

sezgisel bulanık kümeler, modal operatörler

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.