Parameter-free coordination numbers for solutions and interfaces

A new parametric method for ranking fuzzy numbers based on positive and negative ideal solutions

Better Parameter-Free Anytime Search by Minimizing Time Between Solutions

This paper presents a new anytime search algorithm, anytime explicit estimation search (AEES). AEES is an anytime search algorithm which attempts to minimize the time between improvements to its incumbent solution by taking advantage of the differences between solution cost and length. We provide an argument that minimizing the time between solutions is the right thing to do for an anytime sear...

Distributed parameter systems spreadability and evolving interfaces

The notion of spreadability was introduced by A. El Jai and al. 1994 [8, 9] to describe some biogeographical problems. An extension (A-spreadability) was given in 1998, Bernoussi [5]. The aim of this paper is to explore some interesting connections of this notion with wavefronts [11] and level set [13]. Also the spray control problem is investigated in connection with tracking interfaces. The r...

Calculator for Fuzzy Numbers

‎This paper has been discussed and reviewed two R packages FuzzyNumbers and Calculator.LR.FNs‎. ‎These packages have the ability of installation on R software‎, ‎and in fact they propose some useful instruments and functions to the users for draw and easily using arithmetic operators on LR fuzzy numbers‎. ‎For the convenience of the readers‎, ‎the proposed methods and functions have been presen...

On Square-Free Numbers

In the article the formal characterization of square-free numbers is shown; in this manner the paper is the continuation of [19]. Essentially, we prepared some lemmas for convenient work with numbers (including the proof that the sequence of prime reciprocals diverges [1]) according to [18] which were absent in the Mizar Mathematical Library. Some of them were expressed in terms of clusters’ re...