eng
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
2014-07-01
06
2
730
736
526829
مقاله پژوهشی
A NEW APPROACH OF FUZZY NUMBERS WITH DIFFERENT SHAPES AND DEVIATION
A. Ghanizadeh
1
N. Parandin
2
Department of Statistics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran
Department of Mathematics, Islamic Azad University of Kermanshah Branch, Kermanshah, Iran
In this paper, we propose a new method for fuzzy numbers. In this method, we assume that A<sub>i</sub>= (a<sub>i1</sub>, a<sub>i2</sub>, a<sub>i3</sub>, a<sub>i4</sub>) is to be a fuzzy number. So, the convex combination of a<sub>i1</sub> and a<sub>i2 </sub>and also the convex combination of a<sub>i3</sub> and a<sub>i4</sub> are obtained separately. Then, M<sub>ic</sub> and M<sub>is</sub> that are to be the convex combinations and the standard deviation respectively we acquire them from these components. Finally, we can obtain ranking index (M<sub>i)</sub> that is the convex combination of, M<sub>ic</sub> and M<sub>is</sub>. At the end of paper, in one example, the proposed method is compared with other methods.
http://ijo.iaurasht.ac.ir/article_526829_4387ae04443c3fe52b0c60ad9beeaa47.pdf
Fuzzy number
convex combination
standard deviation
eng
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
2014-07-01
06
2
737
744
526830
مقاله پژوهشی
Unweighted p-center problem on extended stars
Jafar Fathali
fathali@shahroodut.ac.ir
1
Nader Jafari Rad
2
Sadegh Rahimi Sherbaf
3
Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran
Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran
Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran
An extended star is a tree which has only one vertex with degree larger than two. The -center problem in a graph asks to find a subset of the vertices of of cardinality such that the maximum weighted distances from to all vertices is minimized. In this paper we consider the -center problem on the unweighted extended stars, and present some properties to find solution.
http://ijo.iaurasht.ac.ir/article_526830_37ef51736b0d3ec69e1bab922522c3ec.pdf
Location theory
center problem
extended star
eng
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
2014-07-01
06
2
745
752
526831
مقاله پژوهشی
Application of G'/G-expansion method to the (2+1)-dimensional dispersive long wave equation
Jafar Biazar
jafar.biazar@gmail.com
1
Zainab Ayati
2
Department of Mathematics, Faculty of Science, University of Guilan
Department of Mathematics, Faculty of Science, University of Guilan
In this work G'/G-expansion method has been employed to solve (2+1)-dimensional dispersive long wave equation. It is shown that G'/G-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.
http://ijo.iaurasht.ac.ir/article_526831_5a32c146da7b46934bb4a19fbcc72b71.pdf
G'/G-expansion method
(2+1)-dimensional dispersive long wave equation