Ordered semigroups characterized by their intuitionistic fuzzy bi-ideals

نویسندگان

1 Department of Mathematics, COMSATS Institute of IT Abbottabad, Pakistan

2 Department of Mathematics Educations and RINS , Gyengsang National University , Chinju 660-701, Korea

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

doi
10.22111/ijfs.2010.172
چکیده

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 of left(resp. right andcompletely regular) ordered semigroups in terms intuitionistic fuzzybi-ideals.