ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS

نویسندگان
Shabir, Muhammad ID 1
Bano, Mahwish ID 2
Jun, Young Bae ID 3

1 Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

2 Department of Mathematics, Air University E-9, PAF Complex, Islamabad, Pakistan

3 Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea

doi
10.22111/ijfs.2010.194
چکیده

In this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. We also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.

کلیدواژه‌ها
Prime fuzzy bi-ideals, Semiprime fuzzy bi-ideals, Strongly prime fuzzy bi-ideals, Irreducible fuzzy bi-ideals, Strongly irreducible fuzzy bi-ideals