Interval-valued fuzzy $$k$$ k -quasi-ideals and $$k$$ k -regularity of semirings

Abstract

In this paper, we characterize some special classes of interval-valued \((i.v.)\) fuzzy ideals of a semiring. We study mainly the notions of interval-valued \((i.v.)\) fuzzy \(k\)-quasi-ideal and interval-valued \((i.v.)\) fuzzy \(k\)-bi-ideal of a semiring and characterize \(k\)-regularity and \(k\)-intra-regularity of a semiring in terms of these special class of interval-valued \((i.v.)\) fuzzy \(k\)-ideals of semirings.