We introduce the notion of bipolar fuzzy soft Lie subalgebras and investigate some of their properties. We also introduce the concept of an (∈,∈ ∨q)-bipolar fuzzy (soft) Lie subalgebra and present some of its properties.

We present an algebraic approach to string theory, using a Hamiltonian reduction of N = 2 WZW models. An embedding of sl(1|2) in a Lie superalgebra determines a niltopent subalgebra. Chirally gauging this subalgebra in the corresponding WZW action leads to an extension of the N = 2 superconformal algebra. We classify all the embeddings of sl(1|2) into Lie superalgebras: this provides an exhaust...

The conditions of β−algebra is enforced into the structure cubic intuitionistic fuzzy settings. Furthermore, concept β− subalgebra expressed and its pertinent properties were explored. Also, discussed about level set β−subalgebras furnished some fascinating results on cartesian product β−subalgebra. Moreover, notion -normed have been introduced relevant are studied.

Abstract An E -fuzzy group is a lattice-valued algebraic structure, defined on a crisp algebra which is not necessarily a group. The crisp equality is replaced by a particular fuzzy one denoted by E . Classical group-like properties are formulated as appropriate fuzzy identities special lattice theoretic formulas. We prove basic features of E -fuzzy groups: properties of the unit and inverses, ...

In this paper, we introduce the notion of anti fuzzy PS – Subalgebra along with PS-ideal in homomorphism and Cartesian product and discussed some of their properties.

In this note, by considering the notions of the intuitionistic general L-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{L}$, there exists a minimal intuitionistic general L-fuzzy automaton recognizing $mathcal{L}$.We prove that the minimal intuitionistic general L-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, be...

This article presents the idea of an m-polar fuzzy KU-ideal and investigates its characteristics. The relationship between KU-subalgebra is presented in discussion

In this paper, the authors extend concept of a t-intuitionistic fuzzy set to PMS-subalgebras PMS-algebras. The define PMS-subalgebra PMS-algebra and show that any intuitionistic is PMS-subalgebra. provide condition for an in be use their (α,β) level cuts characterize PMS-algebra. investigate whether homomorphic images inverse are also PMS-subalgebras. Furthermore, nonempty again Finally, Cartes...

The aim of this work is to integrate the ideas of flexibility and uncertainty into Allen’s interval-based temporal framework, defining a new formalism, called IA fuz, which extends classical Interval Algebra (IA), in order to express qualitative fuzzy constraints between intervals. We generalize the classical operations between IA-relations to IA fuz-relations, as well as the concepts of minima...