A New Generalization of Fuzzy Ideals of Ternary Semigroups

Authors

Noor Rehman, Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan\\ Department of Basic Sciences, Riphah International University, Islamabad, PakistanFollow
Muhammad Shabir, Department of Mathematics, Quaid-i-Azam University, Islamabad, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

Our aim in this paper is to introduce and study a new sort of fuzzy ternary subsemigroup (left ideal, right ideal, lateral ideal, quasi-ideal, bi-ideal) of a ternary semigroup, called interval-valued (a,b )-fuzzy ternary subsemigroup (left ideal, right ideal, lateral ideal, quasi-ideal, bi-ideal). We also characterize regular ternary semigroups in terms of these interval-valued fuzzy ideals.

Recommended Citation

Rehman, Noor and Shabir, Muhammad (2015) "A New Generalization of Fuzzy Ideals of Ternary Semigroups," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 59.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/59