2023年6月22日 · This article aims to introduce the idea of rough bipolar fuzzy ideals in semigroup (SG), which is a generalization of the concept of rough BFSs (RBFSs) in an SG. We also investigate the roughness in the bipolar fuzzy subsemigroup (BF-SSG) with the help of congruence relation (cng-R) defined on the SG and studied some relevant structural properties.

2016年10月9日 · This study develops a novel framework for bipolar-valued intuitionistic fuzzy positive implicative ideals (BPVIFPIIs) in BCK-algebras by integrating bipolar-valued intuitionistic fuzzy set theory … Expand

PDF | On Jul 15, 2014, S. Muhammad and others published Characterizations on (alpha bar, beta bar)-interval valued fuzzy ideals in BF-algebras | Find, read and cite all the research you need on...

BCI-algebras are a wider class than BCK-algebras, introduced by Kiyoshi Iseki in 1966. BCI-algebras as a class of logical algebras are the algebraic formulations of the set di erence together with its pro-perties in set theory and the implicational functor in logical systems.

2020年1月1日 · In this paper, we introduce the concepts of fuzzy ideals, fuzzy implicative ideals and fuzzy p-ideals in BF-algebras and investigate some of its properties.

In this paper, we apply the concept of an interval-valued intuitionistic fuzzy set to ideals and closed ideals in BG-algebras. The notion of an interval-valued intuitionistic fuzzy closed ideal of a BG-algebra is introduced, and some related properties are investigated.

We construct quotient BF-semigroups via BF-ideals and we investigate homomorphisms of BF-semigroups and establish the isomorphism theorems for… In this paper, we introduce the notion of cubic BF -subalgebras of an BF algebra and give some of its characterizations. The homomorphic image, inverse image and product of cubic BF -subalgebras are…

In this paper, we provide some properties of homomorphism of BF-algebras. We also prove the Second and Third Isomorphism Theorems for BF2-algebras. 1. Introduction. The concept of BF-algebras was introduced by A. Walendziak [2] together with BF1-algebras and BF-algebras. He defined a BF-algebra as an algebra. (BF) 0 ( ) = .

This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals and investigate several of their related characteristics. BF-algebra and hyper-BF ideal characteristics are taken into account, and supported examples are built.

2020年7月17日 · Characterizations of a closed, bipolar fuzzy positive implicative, bipolar fuzzy implicative ideals of BCK-algebras are given, and several properties are discussed. Finally, we prove that if T is...