The concept of intuitionistic fuzzy Lie algebra over a fuzzy field is introduced. We study the "necessity" and "possibility" operators on intuitionistic fuzzy Lie algebra over a fuzzy field and give some properties of homomorphic images.
References
P. L. Antony and P. L. Lilly, Some properties of fuzzy lie algebra over fuzzy field, in Proceedings of the International Seminar on Recent Trends in Topology and Its Application, St. Joseph's College, Irinjalakuda, 2009, pp. 196–199. MR2645322 1203.17015 10.4303/jglta/S090701 P. L. Antony and P. L. Lilly, Some properties of fuzzy lie algebra over fuzzy field, in Proceedings of the International Seminar on Recent Trends in Topology and Its Application, St. Joseph's College, Irinjalakuda, 2009, pp. 196–199. MR2645322 1203.17015 10.4303/jglta/S090701
K. T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, vol. 35 of Studies in Fuzziness and Soft Computing, Physica-Verlag, Heidelberg, 1999. MR1718470 K. T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, vol. 35 of Studies in Fuzziness and Soft Computing, Physica-Verlag, Heidelberg, 1999. MR1718470
B. Davvaz, Fuzzy Lie algebra, Int. J. Appl. Math., 6 (2001), pp. 449–461. MR1853137 1037.17037 B. Davvaz, Fuzzy Lie algebra, Int. J. Appl. Math., 6 (2001), pp. 449–461. MR1853137 1037.17037
S. Nanda, Fuzzy algebras over fuzzy fields, Fuzzy Sets and Systems, 37 (1990), pp. 99–103. MR1069610 10.1016/0165-0114(90)90067-G 0703.16025 S. Nanda, Fuzzy algebras over fuzzy fields, Fuzzy Sets and Systems, 37 (1990), pp. 99–103. MR1069610 10.1016/0165-0114(90)90067-G 0703.16025
L. Zedam and A. Amroune, On the representation of L-M algebra by intuitionistic fuzzy subsets, Int. J. Math. Anal., 1 (2006), pp. 189–200. MR2295249 1120.03051 L. Zedam and A. Amroune, On the representation of L-M algebra by intuitionistic fuzzy subsets, Int. J. Math. Anal., 1 (2006), pp. 189–200. MR2295249 1120.03051
