The notions of a bipolar fuzzy regularity, a bipolar fuzzy regular subalgebra, a bipolar fuzzy filter, and a bipolar fuzzy closed quasi filter in BCH-algebras are introduced, and several properties are investigated. A characterization of a bipolar fuzzy filter is provided. Mathematics Subject Classification: 06F35, 03G25, 08A72

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.

In this paper, we give the correlation and difference between M-convex fuzzy process and SLW-convex fuzzy process, and present some basic properties of these convex fuzzy processes, which improve some known results about the connection between those convex fuzzy processes and their graphs. In addition, we introduce a new notion of s-convex fuzzy process as a generalization of M-convex fuzzy pro...

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.

In this note, we first define the concept of convex fuzzy processes. Second, we present some basic properties of convex fuzzy processes and important connection between convex fuzzy processes and their graphs. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-convex fuzzy sets, Convex fuzzy cones, Convex fuzzy processes.

in this paper, we propose a new method for fuzzy numbers. in this method, we assume that ai= (ai1, ai2, ai3, ai4) is to be a fuzzy number. so, the convex combination of ai1 and ai2 and also the convex combination of ai3 and ai4 are obtained separately. then, mic and mis that are to be the convex combinations and the standard deviation respectively we acquire them from these components. finally,...

To calculate the entropy of a subalgebra or of a channel with respect to a state, one has to solve an intriguing optimalization problem. The latter is also the key part in the entanglement of formation concept, in which case the subalgebra is a subfactor. I consider some general properties, valid for these definitions in finite dimensions, and apply them to a maximal commutative subalgebra of a...

To calculate the entropy of a subalgebra or of a channel with respect to a state, one has to solve an intriguing optimalization problem. The latter is also the key part in the entanglement of formation concept, in which case the subalgebra is a subfactor. I consider some general properties, valid for these definitions in finite dimensions, and apply them to a maximal commutative subalgebra of a...