BibTex RIS Kaynak Göster

Neutrosophic Ideals of ¡-Semirings

Yıl 2014, Cilt: 3 Sayı: 6, 51 - 61, 01.06.2014

Öz

Neutrosophic ideals of a Γ-semiring are introducedand studied in the sense of Smarandache[14], along with someoperations such as intersection, composition, cartesian productetc. on them. Among the other results/characterizations, it isshown that all the operations are structure preserving

Kaynakça

  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87 - 96.
  • S. Broumi, F. Smarandache and P. K. Maji, Intuitionistic neutrosphic soft set over Rings , Mathematics and Statistics, Vol. 2, No. 3 (2014) 120 - 126.
  • S. Broumi, I. Deli and F. Smarandache, Relations on interval valued neutrosophic soft sets, Journal of New Results in Science, 5 (2014) 01 - 20.
  • N. J. Cutland, Nonstandard Analysis and its Applications, Cambridge University Press, Cambridge, 1988.
  • J. S. Golan, Semirings and their applications, Kluwer Academic Publishers, Do- drecht, 1999.
  • G. J. Klir and B. Yuan, Fuzzy sets and fuzzy logic- Theory and Applications, Pren- tice Hail P T R Upper Saddle River, New Jersey, 1995.
  • U. Hebisch, J. Weinert, Semirings algebraic theory and application in computer science, World Scientific,1998.
  • P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, Vol. 5, No. 1 (2013) 157 - 168.
  • D. Mandal, Neutrosophic ideals of semirings, submitted. M.M.K. Rao, Γ-semirings - 1, Southeast Asian Bull. of Math., 19 (1995), 49-54.
  • A. Robinson, Nonstandard Analysis, Princeton University Press, Princeton, 1996.
  • A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517.
  • T. J. Ross, J. M. Booker, V. J. Parkinson, Fuzzy logic and probability : Bridiging the gap, ASA-SIAM Series on Statistics and Applied Probability, Alexandria, 2002.
  • F. Smarandache, Neutrosophic set- a generalization of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math., 24 (2005) 287 - 297.
  • L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338 - 353.
Yıl 2014, Cilt: 3 Sayı: 6, 51 - 61, 01.06.2014

Öz

Kaynakça

  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87 - 96.
  • S. Broumi, F. Smarandache and P. K. Maji, Intuitionistic neutrosphic soft set over Rings , Mathematics and Statistics, Vol. 2, No. 3 (2014) 120 - 126.
  • S. Broumi, I. Deli and F. Smarandache, Relations on interval valued neutrosophic soft sets, Journal of New Results in Science, 5 (2014) 01 - 20.
  • N. J. Cutland, Nonstandard Analysis and its Applications, Cambridge University Press, Cambridge, 1988.
  • J. S. Golan, Semirings and their applications, Kluwer Academic Publishers, Do- drecht, 1999.
  • G. J. Klir and B. Yuan, Fuzzy sets and fuzzy logic- Theory and Applications, Pren- tice Hail P T R Upper Saddle River, New Jersey, 1995.
  • U. Hebisch, J. Weinert, Semirings algebraic theory and application in computer science, World Scientific,1998.
  • P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, Vol. 5, No. 1 (2013) 157 - 168.
  • D. Mandal, Neutrosophic ideals of semirings, submitted. M.M.K. Rao, Γ-semirings - 1, Southeast Asian Bull. of Math., 19 (1995), 49-54.
  • A. Robinson, Nonstandard Analysis, Princeton University Press, Princeton, 1996.
  • A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517.
  • T. J. Ross, J. M. Booker, V. J. Parkinson, Fuzzy logic and probability : Bridiging the gap, ASA-SIAM Series on Statistics and Applied Probability, Alexandria, 2002.
  • F. Smarandache, Neutrosophic set- a generalization of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math., 24 (2005) 287 - 297.
  • L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338 - 353.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Debabrata Mandal Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 3 Sayı: 6

Kaynak Göster

APA Mandal, D. (2014). Neutrosophic Ideals of ¡-Semirings. Journal of New Results in Science, 3(6), 51-61.
AMA Mandal D. Neutrosophic Ideals of ¡-Semirings. JNRS. Haziran 2014;3(6):51-61.
Chicago Mandal, Debabrata. “Neutrosophic Ideals of ¡-Semirings”. Journal of New Results in Science 3, sy. 6 (Haziran 2014): 51-61.
EndNote Mandal D (01 Haziran 2014) Neutrosophic Ideals of ¡-Semirings. Journal of New Results in Science 3 6 51–61.
IEEE D. Mandal, “Neutrosophic Ideals of ¡-Semirings”, JNRS, c. 3, sy. 6, ss. 51–61, 2014.
ISNAD Mandal, Debabrata. “Neutrosophic Ideals of ¡-Semirings”. Journal of New Results in Science 3/6 (Haziran 2014), 51-61.
JAMA Mandal D. Neutrosophic Ideals of ¡-Semirings. JNRS. 2014;3:51–61.
MLA Mandal, Debabrata. “Neutrosophic Ideals of ¡-Semirings”. Journal of New Results in Science, c. 3, sy. 6, 2014, ss. 51-61.
Vancouver Mandal D. Neutrosophic Ideals of ¡-Semirings. JNRS. 2014;3(6):51-6.


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