T-Fuzzy Left h-Ideals of Hemirings
Md. Yasin Ali *
School of Science and Engineering, University of Information Technology and Sciences, Dhaka, Bangladesh and Department of Mathematics, Jahangirnagar University, Savar, Bangladesh.
Kanak Ray Chowdhury
Department of Mathematics, Mohammadpur Model School and College, Dhaka, Bangladesh.
Abeda Sultana
Department of Mathematics, Jahangirnagar University, Savar, Bangladesh
Nirmal Kanti Mitra
Department of Mathematics, Bangladesh University of Business and Technology, Dhaka, Bangladesh
*Author to whom correspondence should be addressed.
Abstract
In this paper using t-norm T, The concepts of T-fuzzy left h-ideals of hemirings are introduced. Some new characterization theorems of these kinds of T-fuzzy left h-ideals are given. The normal T-fuzzy left h-ideals of hemirings, images and pre-images of T-fuzzy left h-ideals of hemirings under homomorphism are investigated. The products of two T-fuzzy left h-ideals of hemirings are also discussed.
Keywords: Fuzzy sets, hemirings, ideals, t-norms, homomorphism.