{"title":"Anti-Homomorphism in Fuzzy Ideals","authors":"K. Chandrasekhara Rao, V. Swaminathan","volume":44,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1211,"pagesEnd":1215,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6448","abstract":"The anti-homomorphic image of fuzzy ideals, fuzzy\r\nideals of near-rings and anti ideals are discussed in this note. A\r\nnecessary and sufficient condition has been established for near-ring\r\nanti ideal to be characteristic.","references":"[1] S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and\r\nSystems 44, 139 - 146, 1991.\r\n[2] M. Akram and K. H. Dar, On Anti Fuzzy Left h-ideals in Hemirings,\r\nInternational Mathematical Forum, 2, no. 46, 2295 - 2304, 2007.\r\n[3] R. Biswas, Fuzzy subgroups and anti fuzzy subgroups, Fuzzy Sets\r\nSystems 44, 121 - 124, 1990.\r\n[4] P. S. Das, Fuzzzy groups and level subgroups, J. Math. Anal. and Appl.\r\n84, 264 - 269, 1981.\r\n[5] K. Chandrasekhara Rao and V. Swaminathan, Anti-homomorphisms in\r\nNear-Rings Jour. of Inst. of Maths. Comp. Sciences (Maths. Ser.) Vol.\r\n21, No. 2 , 83 - 88, 2008.\r\n[6] G\u252c\u00bfunter Pilz, Near-rings, The Theory and applications, North-Holland\r\nPublishing company, Amsterdam, New York, Oxford, 1983.\r\n[7] S. D. Kim and H. S. Kim, On fuzzy ideals of near-rings, Bull. Korean\r\nMath. Soc. 33, 593 - 601, 1996.\r\n[8] K. H . Kim and Y. B. Jun, A note on fuzzy R-subgroups of near-rings,\r\nSoochow Journal of Mathematics, Vol. 28, no. 4, 330 - 346, 2002.\r\n[9] K. H . Kim and Y. B. Jun, On Anti Fuzzy Ideals in Near-Rings, Iranian\r\nJr. of Fuzzy Systems, Vol. 2, No. 2, 71 - 80, 2005.\r\n[10] Mohamed Asaad, Groups and fuzzy subgroups, Fuzzy Sets and Systems\r\n39, 323 - 328, 1991.\r\n[11] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35, 512 - 517, 1971.\r\n[12] Sung Min Hong, Young Bae Jun and Hee Sik Kim, Fuzzy Ideals in\r\nNear-rings, Bull. Korean Math. Soc. 35, pp 455 - 464, 1998.\r\n[13] H. Kopka and P. W. Daly, A Guide to LATEX, 3rd ed. Harlow, England:\r\nAddison-Wesley, 1999.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 44, 2010"}