Year 2014,
Volume: 3 Issue: 6, 51 - 61, 01.06.2014
Abstract
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
Keywords
References
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Year 2014,
Volume: 3 Issue: 6, 51 - 61, 01.06.2014
Abstract
References
- 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.
There are 14 citations in total.
Details
| Primary Language | English |
|---|---|
| Authors | |
| Publication Date | June 1, 2014 |
| Published in Issue | Year 2014 Volume: 3 Issue: 6 |