Some characterizations of semigroups in terms of intuitionistic fuzzy interior ideals

• Main Authors: Khan, Hidayatullah, Sarmin, Nor Haniza, Khan, Asghar, Khan, Faizmuhammad
• Format: Article
• Language: English
• Published: Abdus Salam School of Mathematical Sciences, GC University 2015
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/56038/1/HidayatullahKhan2015_SomeCharacterizationsofSemigroupsinTermofIntuitionistic.pdf; http://eprints.utm.my/id/eprint/56038/
• Institution: Universiti Teknologi Malaysia

The importance of semigroups and their fuzzy subsystems is evident from their applications and significant role in several applied dis-ciplines like computer sciences, control engineering, error-correcting codes and fuzzy automata theory. In this paper, we give generalizations of in-tuitionistic fuzzy interior ideals of semigroups and introduced the notions of intuitionistic fuzzy interior ideals of type (V qk) and of semi-groups. The important mile stone of the present paper is to link ordinary intuitionistic fuzzy interior ideals, intuitionistic fuzzy interior ideals and (V qk)-intuitionistic fuzzy interior ideals. Moreover semigroups are characterized by the properties of these notions.