A STUDY ON ROUGH FUZZY PRIME BI-IDEALS & PRIME FUZZY BI-IDEALS IN SEMIRINGS

Authors

  • V.S. SUBHA Assistant Professor , Department of Mathematics, Annamalai University, Annamalainagar

Keywords:

medical

Abstract

In this paper we initiate the study of rough fuzzy prime bi-ideals in semirings. We also define rough prime fuzzy bi-ideals, rough semiprime fuzzy bi-ideals, rough irreducible fuzzy bi-ideals and Strongly rough irreducible fuzzy bi-ideals of semirings .

References

S. Bashir, J. Mehmood, M. Shabir, Prime Bi-Ideals And Prime Fuzzy Bi-Ideals In Semirings, World applied Sciences Journal, 22, (2013), pp. 106-121.

R. Biswas and S. Nanda, Rough Groups And Rough Subgroups, Bulietin polish Academy Science Mathematics 42(1994) 251-254.

R. Chinram, Rough Prime Ideals And Rough Fuzzy Prime Ideals In - Semigroups Communication of the Koren Mathematical Society,24(3)(2009)341-351.

R. Chinram, A Note On (m,n)- Quasi-Ideals In Semirings, International Journal of Pure and Applied Mathematics, 49(1), (2008), pp. 45-52.

R. Chinram and C. Jirojkul, On Bi-Ideals In -Semigroups, Journal of science and Technology 29(1)(2007) 231-234.

B. Davvaz, Roughness In Rings, Information Sciences, 164, (2004), pp. 147-163.

D. Dubois and H. Parade, Rough Fuzzy Sets And Fuzzy Rough Sets, International Journal of General System, 17(2-3), (1990), 191-209.

T.K. Dutta and B.K. Biswas, Fuzzy Prime Ideals Of A Semiring, Bulletin Malaysian Mathematical Society, 17,(1994), 9-16.

O.Kanhi and B. Davvaz, On The Structure Of Rough Prime (Primary) Ideals And Rough Fuzzy Prime (Primary) Ideals In Commutative Rings, Information Sciences, 178(5), (2008), pp. 1343-1354.

W.J.Liu, Fuzzy Invarient Subgroups And Fuzzy Ideals, Fuzzy Sets And Systems, 8(2)(1982), 133-139.

Z. Pawlak, Rough Sets, International Journal of Information Computer Science, 11 (1982) 341-356.

Z. Pawlak, Rough Sets And Fuzzy Sets, Fuzzy sets and systems, 17(1)(1985)99-102.

Z. Pawlak and A.Showron, Rough Sets:Some Extensions, Information Sciences, 177(1) (2007) 28-40.

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Published

2018-06-30

How to Cite

SUBHA, V. (2018). A STUDY ON ROUGH FUZZY PRIME BI-IDEALS & PRIME FUZZY BI-IDEALS IN SEMIRINGS. Innovative Research Thoughts, 4(5), 170–176. Retrieved from https://irt.shodhsagar.com/index.php/j/article/view/900

Issue

Vol. 4 No. 5 (2018): Volume 4 | Issue 5 | April - June 2018

Section

Articles

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