We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommu-tative Z 2-graded algebras tending in a suitable limit to a dense subalgebra of the Z 2-graded algebra of H ∞-functions on the (2|2)-dimensional supersphere. Noncom-mutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the su...

This paper is an investigation of the automorphisms of the algebra of truth values of type-2 fuzzy sets. This algebra contains isomorphic copies of the truth value algebras of type-1 and of interval-valued fuzzy sets. It is shown that these subalgebras are characteristic; that is, are carried onto themselves by automorphisms of the containing algebra of truth values of fuzzy sets. Some other re...

We introduce the fuzzy supersphere as sequence of nite-dimensional, noncommu-tative Z 2-graded algebras tending in a suitable limit to a dense subalgebra of the Z 2-graded algebra of H 1-functions on the (2j2)-dimensional supersphere. Noncom-mutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the supe...

In this paper, the concepts of intuitionistic fuzzy α-translation (IFAT), α-multiplication (IFAM), and magnified βα-translation (IFMBAT) are introduced in setup PS-algebra. Some properties PS-ideal PS-subalgebra investigated by applying IFAT, IFAM, IFMBAT. Intersection union PS-ideals explained through results examples.

The objective of writing this manuscript is to apply the concept fuzzy set on some basic Hopf algebraic structures. In manuscript, novel concepts subalgebra, ideal, and H-submodule are proposed. Some properties these discussed, significant results also proved in it. advantages proposed work studied application discussed

in this note, we characterize chebyshev subalgebras of unital jb-algebras. we exhibit that if b is chebyshev subalgebra of a unital jb-algebra a, then either b is a trivial subalgebra of a or a= h r .l, where h is a hilbert space

Type-2 fuzzy sets were introduced by Zadeh in 1975 in a series of papers. The basic idea is to generalize the notion of ordinary fuzzy sets (type-1), a¤ording wider applicability. This paper gives a general overview of some of the mathematical aspects of type-2 fuzzy set theory, emphasizing precisely how type-2 generalizes type-1 and interval-valued fuzzy set theory. We will summarize the theor...

in this paper, given a poset $(x,leq)$, we introduce some  drifts on a groupoid $(x,*)$ with respect to $(x,leq)$, and we obtain several properties of these drifts related to the notion of $bin(x)$. we discuss some connections between fuzzy subalgebras and upward drifts.

Let $L$ be a finite-dimensional Lie algebra. We say a subalgebra $H$ of $L$ is permutably complemented in $L$ if there is a subalgebra $K$ of $L$ such that $L=H+K$ and $Hcap K=0$. Also, if every subalgebra of $L$ is permutably complemented in $L$, then $L$ is called completely factorisable. In this article, we consider the influence of these concepts on the structure of a Lie algebra, in partic...