By means of Dubois and Prade's idea, we apply rough fuzzy sets and fuzzy rough sets to
algebraic structures. The concepts of rough fuzzy strong h-ideals (rough fuzzy prime ideals) …

This paper is a continuation of ideas presented by Davvaz [Roughness in rings, Inform. Sci.,
164 (2004) 147–163; Roughness based on fuzzy ideals, Inform. Sci., 176 (2006) 2417 …

The purpose of this paper is to introduce and discuss the concept of T-rough (prime, primary)
ideal and T-rough fuzzy (prime, primary) ideal in a commutative ring. Our main aim in this …

This paper considers the relations among L-fuzzy sets, rough sets and hyperring theory.
Based on a complete residuated lattice, the concept of (invertible) L-fuzzy hyperideals of a …

The relationship between Rough Set (RS) and algebraic systems has been long studied by
mathematicians. RS is a growing research area that encourages studies into both real-world …

In this paper, we firstly introduce a special congruence relation U (μ, t) induced by a fuzzy
ideal μ in a semigroup S. Then we define the lower and upper approximations based on a …

Rough set theory offers a new mathematical method for inadequate understanding. In this
way, ambiguity is conveyed by a boundary area which can be defined using algebraic …

ROUGH STRONG IDEALS IN BH-ALGEBRAS Sun Shin Ahn and Jin Hwa Lee 1. Introduction
Y. Imai and K. Iséki introduced two classes of Page 1 Honam Mathematical J. 32 (2010), No …

The relations between rough sets and algebraic systems have been already considered by
many mathematicians, and rough sets have been studied in various kinds of algebraic …

A novel congruence relation of hemirings is established. We show that U (μ, t) is a
congruence relation on S if μ is a fuzzy strong h-ideal of a hemiring S. Based on this idea …