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http://dx.doi.org/10.14317/jami.2015.293

ROUGH ANTI-FUZZY SUBRINGS AND THEIR PROPERTIES  

ISAAC, PAUL (Department of Mathematics, Bharata Mata College Thrikkakara)
NEELIMA, C.A. (Department of Mathematics, Bharata Mata College Thrikkakara)
Publication Information
Journal of applied mathematics & informatics / v.33, no.3_4, 2015 , pp. 293-303 More about this Journal
Abstract
In this paper, we shall introduce the concept of rough antifuzzy subring and prove some theorems in this context. We have, if µ is an anti-fuzzy subring, then µ is a rough anti-fuzzy subring. Also we give some properties of homomorphism and anti-homomorphism on rough anti-fuzzy subring.
Keywords
rough subring; rough anti-fuzzy subring; ring homomorphism; ring anti-homomorphism;
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1 Neelima C.A and Paul Isaac, Anti-homomorphism on Rough Prime Fuzzy Ideals and Rough Primary Fuzzy Ideals, Ann.Fuzzy Math.Inform., 8 (2014), 549=-559.
2 B. Davvaz Roughness in rings, Inform. Sci., 164 (2004), 147–163.   DOI
3 D. Dubois and H. Prade, Rough fuzzy sets and fuzzy rough sets, Int. J. Gen. Syst., 17 (1990), 191–209.   DOI
4 Nobuaki Kuroki, Rough ideals in semigroups, Inform. Sci., 100 (1997), 139-163.   DOI
5 Paul Isaac and Neelima C.A, Anti-homomorphism on Rough Prime Ideals and Rough Primary ideals Advances in Theoretical and Applied Mathematics, 9 (2014), 1–9.
6 Osman Kazanci and B. Davvaz, On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings, Inform. Sci., 178 (2008), 1343–1354.   DOI
7 J.N. Mordeson and D.S. Malik, Fuzzy Commutative Algebra, World Scientific (1998), ISBN 981-02-3628-X.
8 Z. Pawlak, Rough sets Int. J. Inform. Comput. Sci., 11 (1982), 341-356.   DOI
9 Tariq Shah, Mohammad Saeed, On Fuzzy ideals in rings and Anti-homomorphism, Int. Math. Forum., 7 (2012), 753-759.
10 L.A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), 338–353.   DOI
11 R. Biswas and S. Nanda, Rough groups and rough subgroups, Bull. Polish Acad. Sci. Math., 42 (1994), 251–254.
12 Neelima C.A. and Paul Isaac, Rough semi prime ideals and rough bi-ideals in rings, Int. J. Math. Sci. Appl., 4 (2014), 29–36.