Translation and scalar multiplication on picture fuzzy ideal of a PS algebra

In this paper, the notion of picture fuzzy ideal of PS algebra is introduced as a generalization of fuzzy ideal of PS algebra. The study of properties of picture fuzzy ideal of PS algebra is done in the environment of scalar multiplication with picture fuzzy set, translation of picture fuzzy set and extension of picture fuzzy set.Publisher's Versio

Cubic BOI-ideal of BOI-algebra

In this paper, the notion of cubic BOI-ideal of BOI-algebra is introduced. Some characterization of cubic BOI-ideal of BOI-algebra is given. Several theorems are presented in this regard. Thehomomorphic image and inverse image of cubic BOI-ideal are studied

Doubt Fuzzy BOI-ideal of BOI-algebra

The aim of this paper is to introduce the notion of doubt fuzzy BOI-ideal of BOI-algebra and to study their properties. The homomorphic image and the inverse image of a doubt fuzzy BOI-ideal isstudied well. The Cartesian product of doubt fuzzy BOI-ideal is introduced and discussed

BCI/BCK- quantum algebra

The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic. Implicational algebras like pseudo-BCK algebras are quantum B-algebras, and every quantum B-algebra can be recovered from its spectrum which is a quantale. [25].A brief introduction to quantum mechanics is given. A new generalization of BCI/BCK-algebra and some there properties have been given. The BCI- quantum algebra and BCk- quantum algebra have been studied. The BCI- Lie algebra and BCK- Lie algebra are introduced. Various examples have been given

Quantum Algebra From Generalized Q-Algebra

The paper contains an investigation of the notion of Q-algebras. A brief introduction toquantum mechanics is given.A brief introduction to BCI/BCK/BCH-algebra are given. A new generalization of Q-algebrahas been introduced. The Q- quantum algebra has been studied.Various examples have been given