Intuitionistic Fuzzy Soft Near Rings Induced by \((T,S)\)-norms

Banu Pazar Varol, Halis Aygün

Abstract


In this work, we combine the near ring concept and intuitionistic fuzzy soft set. By using \(t\)-norm and \(t\)-conorm we define intuitionistic fuzzy soft near ring over a given classical near ring and study its characteristic properties.


Keywords


Intuitionistic fuzzy set; Soft set; Intuitionistic fuzzy soft set; Soft near ring; Intuitionistic fuzzy soft near ring

Full Text:

PDF

References


U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Computers & Mathematics with Applications 59 (2010), 3458 – 3463, DOI: 10.1016/j.camwa.2010.03.034.

K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87 – 96, DOI: 10.1016/S0165-0114(86)80034-3.

W. Gujin and L. Xiapping, Interval-valued fuzzy subgroups induced by T-triangular norms, BUSEFAL: Bulletin pour les sous ensembles flous et leurs applicatios 65 (1996), 80 – 84.

P. Gunter, Near-Rings, North-Holland, Amsterdam (1983).

S. Karata¸s and M. A.˙I¸sleyen, Connnectedness on intuitionistic fuzzy soft topological spaces, Journal of New Theory 1 (2015), 2 – 13, URL: https://dergipark.org.tr/en/pub/jnt/issue/34527/381468.

X. Li and G. Wang, The SH interval-valued fuzzy subgroups, Fuzzy Sets and Systems 112 (2000), 319 – 325, DOI: 10.1016/S0165-0114(98)00092-X.

P. K. Maji and A. R. Roy, On intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics 12(3) (2004), 669 – 684.

D. Molodtsov, Soft set theory – First results, Computers & Mathematics with Applications 37 (4/5) (1999), 19 – 31, URL: https://core.ac.uk/download/pdf/82496757.pdf.

H. T. Nguyen and E. A. Walker, A First Course in Fuzzy Logic, 3rd edition, Chapman and Hall/CRC/Taylor and Francis Group (2006), URL: https://www.routledge.com/A-First-Course-in-Fuzzy-Logic/Nguyen-Walker-Walker/p/book/9781138585089.

K. Serkan and M. Akdag, On intuitionistic fuzzy soft continuos mappings, Journal of New Results in Science 4(2014), 55 – 70.

A. Sezgin, A. O. Atagün and E. Aygün, A note on soft near rings and idealistic soft near rings, Filomat 25(1) (2011), 53 – 68, URL: https://www.jstor.org/stable/24895520?seq=1.

P. K. Shama, Intuitionistic fuzzy ideals of near rings, International Mathematical Forum 7 (16) (2012), 769 – 776, URL: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.675.237&rep=rep1&type=pdf.

J. D. Yadav, Fuzzy soft near rings, International Journal of Latest Research in Science and Technology 4(6) (2015), 94 – 101, URL: https://www.mnkjournals.com/journal/ijlrst/Special_issue/26-27-23112015.pdf.

Y. H. Yon, Y. B. Jun and K. H. Kim, Intuitionistic fuzzy R-subgroups of near rings, Soochow Journal of Mathematics 27(3) (2001), 243 – 253, URL: http://163.14.246.20/mp/pdf/S27N31.pdf.




DOI: http://dx.doi.org/10.26713%2Fcma.v11i3.1383

Refbacks

  • There are currently no refbacks.


eISSN 0975-8607; pISSN 0976-5905