In this article we introduce μ-filtered fuzzy module with a family of fuzzy submodules. It shows the relation between μ-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the μ-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull’s intersection theorem of fuzzy ideals by using concept μ-adic completion.

In this paper, we introduce the concepts of L-fuzzy generalized neighborhood system(f-gns for short) and L-fuzzy generalized topology (fgt, for short)(where L is a fuzzy lattice) which are generalizations of generalized topology and neighborhood systems defined by Csaszar[5]. We also introduce and investigate with the help of these new concepts the concepts of L-(ψ1, ψ2) continuity and L-fuzzy ...

In this paper, we obtain an axiomatic characterization of Lowen's fuzzy compactness. KeywordsMathematics, fuzzy sets, Topology, Lowen's compactness, operators.

Let S be a set of points in the plane in general position. A triangulation of S will be called even if all the points of S have an even degree. We show how to construct a triangulation of S containing at least ⌊ 2n 3 ⌋−3 points with even degree; this improves slightly the bound of ⌈ 2(n−1) 3 ⌉ − 6 by Aichholzer et. al. [1]. Our proof can be easily adapted to give, through a long case analysis, ...

In recent years there have been tremendous efforts to measure, characterise and model the internet topology. We discuss why the power law degree distribution is not an artifact but an integral property of the internet. On the other hand we argue that while it is one of the properties that fundamentally characterise the global internet structure, other properties should also be considered to obt...

The concept of fuzzy compact-open topology is introduced and some characterizations of this topology are discussed.

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

in this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. we study he image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-‎subgroups.‎

This paper demonstrates twometa-mathematical propositions concerning the increasingly popular “intuitionistic” (= vague) approaches to fuzzy sets and fuzzy topology, as well as the closely related interval-valued (= grey) sets and interval-valued “intuitionistic” sets: (1) the term “intuitionistic” in these contexts is historically inappropriate given the standard mathematical usage of “intuiti...