Muhammad Shabir
Department of Mathematics, Quaid-i-Azam University, Islamabad- 45320, Pakistan
[ 1 ] - SEMISIMPLE SEMIHYPERGROUPS IN TERMS OF HYPERIDEALS AND FUZZY HYPERIDEALS
In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.
[ 2 ] - ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
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.
[ 3 ] - Ordered semigroups characterized by their intuitionistic fuzzy bi-ideals
Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...
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