Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30174
Anti-Homomorphism in Fuzzy Ideals

Authors: K. Chandrasekhara Rao, V. Swaminathan

Abstract:

The anti-homomorphic image of fuzzy ideals, fuzzy ideals of near-rings and anti ideals are discussed in this note. A necessary and sufficient condition has been established for near-ring anti ideal to be characteristic.

Keywords: Fuzzy Ideals, Anti fuzzy subgroup, Anti fuzzy ideals, Anti homomorphism, Lower α level cut.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062936

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1953

References:


[1] S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Systems 44, 139 - 146, 1991.
[2] M. Akram and K. H. Dar, On Anti Fuzzy Left h-ideals in Hemirings, International Mathematical Forum, 2, no. 46, 2295 - 2304, 2007.
[3] R. Biswas, Fuzzy subgroups and anti fuzzy subgroups, Fuzzy Sets Systems 44, 121 - 124, 1990.
[4] P. S. Das, Fuzzzy groups and level subgroups, J. Math. Anal. and Appl. 84, 264 - 269, 1981.
[5] K. Chandrasekhara Rao and V. Swaminathan, Anti-homomorphisms in Near-Rings Jour. of Inst. of Maths. Comp. Sciences (Maths. Ser.) Vol. 21, No. 2 , 83 - 88, 2008.
[6] G¨unter Pilz, Near-rings, The Theory and applications, North-Holland Publishing company, Amsterdam, New York, Oxford, 1983.
[7] S. D. Kim and H. S. Kim, On fuzzy ideals of near-rings, Bull. Korean Math. Soc. 33, 593 - 601, 1996.
[8] K. H . Kim and Y. B. Jun, A note on fuzzy R-subgroups of near-rings, Soochow Journal of Mathematics, Vol. 28, no. 4, 330 - 346, 2002.
[9] K. H . Kim and Y. B. Jun, On Anti Fuzzy Ideals in Near-Rings, Iranian Jr. of Fuzzy Systems, Vol. 2, No. 2, 71 - 80, 2005.
[10] Mohamed Asaad, Groups and fuzzy subgroups, Fuzzy Sets and Systems 39, 323 - 328, 1991.
[11] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35, 512 - 517, 1971.
[12] Sung Min Hong, Young Bae Jun and Hee Sik Kim, Fuzzy Ideals in Near-rings, Bull. Korean Math. Soc. 35, pp 455 - 464, 1998.
[13] H. Kopka and P. W. Daly, A Guide to LATEX, 3rd ed. Harlow, England: Addison-Wesley, 1999.