In this article, we solve the second type of nonlinear Volterra picture fuzzy integral equation (NVPFIE) using an accelerated form Adomian decomposition method (ADM). Based on (α,δ,β)-cut, convert NVPFIE to equations in a crisp form. An version ADM is used transformed system, which based new formula for polynomial. The sufficient condition that guarantees unique solution obtained polynomial, er...

This paper introduces a new method of fuzzy semisupervised hierarchical clustering using fuzzy instance level constraints. It introduces the concepts of fuzzy must-link and fuzzy cannot-link constraints and use them to find the optimum α-cut of a dendrogram. This method is used to approach the problem of classifying scientific publications in web digital libraries. It is tested on real data fro...

This paper proposes a fuzzy multi -criteria decision making method for disaster risk analysis. It considers the application of “α-cut” and “fuzzy arithmetic operations” to rank the fuzzy numbers describing linguistic variables. This article studies the use of variable fuzzy sets and is applied to study disaster area of Nagapattinam district under northeast monsoon rainfall. The relative and syn...

The Hartree-Fock approximation of Quantum Electrodynamics provides a rigorous framework for the description of relativistic electrons in external fields. This nonlinear model takes into account the infinitely many virtual electrons of Dirac’s vacuum as well as the Coulomb interactions between all the particles. The state of the system is an infinite-rank projection satisfying a nonlinear equati...

Let G be a minimal imperfect P 5-free graph (i.e. a minimal imperfect graph not containing a path on 5 vertices as induced subgraph) and let S be a minimal cutset of G. In this paper we study several properties of such cutsets, in particular we prove that the subgraph induced by S is connected, contains a P 4 , cannot induce a bipartite subgraph of G .... As a by-product we also give a structur...

The abuse of novel psychoactive substances (NPS) has been increasing dramatically worldwide since late 2000s. By the end of 2015, more than 560 NPS had been reported to the European Monitoring Centre for Drugs and Drug Addiction. Although the most popular compounds are synthetic cannabinoids and psychostimulatory derivatives of cathinone (so-called β-keto-amphetamines), novel synthetic opioids ...

In the dark matter (DM) halos embedding galaxies and galaxy systems the ‘entropy’ K ≡ σ2/ρ2/3 (a quantity that combines the radial velocity dispersion σ with the density ρ) is found from intensive N−body simulations to follow a powerlaw run K ∝ r throughout the halos’ bulk, with α around 1.25. Taking up from phenomenology just that α≈ const applies, we cut through the rich analytic contents of ...

Control charts are one of the most important tools in statistical process control that lead to improve quality processes and ensure required quality levels. In traditional control charts, all data should be exactly known, whereas there are many quality characteristics that cannot be expressed in numerical scale, such as characteristics for appearance, softness, and color. Fuzzy sets theory is a...