let $gamma_{n,kappa}$ be the class of all graphs with $ngeq3$ vertices and $kappageq2$ vertex connectivity. denote by $upsilon_{n,beta}$ the family of all connected graphs with $ngeq4$ vertices and matching number $beta$ where $2leqbetaleqlfloorfrac{n}{2}rfloor$. in the classes of graphs $gamma_{n,kappa}$ and $upsilon_{n,beta}$, the elements having maximum augmented zagreb index are determined.

Underactuated biped robots control is one of the interesting topics in robotics. The main difficulties are its highly nonlinear dynamics, open-loop instability, and discrete event at the end of the gait. One of the methods to control underactuated systems is the partial feedback linearization, but it is not robust against uncertainties and disturbances that restrict its performance to control b...

This paper focuses on applications of fuzzy segmentation in region indexing and image retrieval. First, our algorithm of fuzzy segmentation is shortly explained. Some features characterizing a fuzzy region are then defined, and a distance between fuzzy regions is proposed. This distance can be used to rank regions on color and/or shape features or to perform a partial request from a image, requ...

In this contribution, we describe a hardware platform for evolving a fuzzy system by using Fuzzy CoCo — a cooperative coevolutionary methodology for fuzzy system design — in order to speed up both evolution and execution. Reconfigurable hardware arises between hardware and software solutions providing a trade-off between flexibility and performance. We present an architecture that exploits the ...

The process of computing correlation among attributes an ordinary database is significant in the analysis and classification a data set. Due to uncertainties embedded classification, encapsulating techniques using Pythagorean fuzzy information appropriate curb uncertainties. Although coefficient between (PFD) applicable measure, its output not reliable because intrinsic effect other interfering...

The aim of this paper is to present a general framework for comparing fuzzy sets with respect to a general class of fuzzy orderings. This approach includes known techniques based on generalizing the crisp linear ordering of real numbers by means of the extension principle, however, in its general form, it is applicable to any fuzzy subsets of any kind of universe for which a fuzzy ordering is k...

In fuzzy propositional logic, to a proposition a partial truth in [0; 1] is assigned. It is well known that under certain circumstances, fuzzy logic collapses to classical logic. In this paper, we will show that under dual conditions, fuzzy logic collapses to four-valued (relevance) logic, where propositions have truth-value true,false, unknown, or contradiction. As a consequence, fuzzy entailm...

In this study, we aim to introduce the notion of fuzzy partial metric spaces which is a generalization crisp in fuzzifying view with distance between ordinary points. For aim, first present concept by considering as non-negative, upper semi-continuous, normal and convex numbers giving examples. We obtain some useful inequalities under restrictions spaces. Then discuss relationships other struct...