University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
30
Cover vol. 10, no. 6, December 2013
0
EN
10.22111/ijfs.2013.2698
http://ijfs.usb.ac.ir/article_2698.html
http://ijfs.usb.ac.ir/article_2698_a23462a8d48310202dba8beccd05a970.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
25
Spectrum Assignment in Cognitive Radio Networks Using Fuzzy Logic Empowered Ants
1
19
EN
Farokh
Koroupi
Department of Computer Engineering, Sirjan Branch, Islamic Azad
University, Sirjan, Iran
fkoropi@iausirjan.ac.ir
Hojjat
Salehinejad
Department of Electrical Engineering, Shahid Bahonar Uni-
versity of Kerman, Kerman, Iran
h.salehi@eng.uk.ac.ir
Siamak
Talebi
Department of Electrical Engineering, Shahid Bahonar University
of Kerman, Kerman, Iran
siamak.talebi@uk.ac.ir
10.22111/ijfs.2013.1309
The prevalent communications networks suffer from lack of spectrum and spectrum inefficiency. This has motivated researchers to develop cognitive radio (CR) as a smart and dynamic radio access promised solution. A major challenge to this new technology is how to make fair assignment of available spectrum to unlicensed users, particularly for smart grids communication. This paper introduces an innovative approach to this key challenge in CR networks based on an empowered ant colony system (ACS) using fuzzy logic (FL). In order to evaluate performance of the proposed fuzzy logic-ant colony system spectrum assignment algorithm (FLACS-SAA), authors have particularly studied its performance versus the color sensitive graph coloring (CSGC) approach as well as a variety of bio-inspired based techniques referenced in the literature.
Ant colony system,Cognitive radio networks,Graph coloring problem,Fuzzy logic,Smart grids,Spectrum assignment
http://ijfs.usb.ac.ir/article_1309.html
http://ijfs.usb.ac.ir/article_1309_185a111fcc31265b0f3e9bd82065a8e4.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\ and Its Application to MADM Problems
21
37
EN
Maojun
Zhang
School
of Mathematics and Computing Sciences, Guilin University of Electronic Technology,
No.1, Jinji Road, Guilin 541004, Guangxi, China
zhang1977108@sina.com
Jiangxia
Nan
School of Mathematics and Computing Sciences, Guilin University of
Electronic Technology, No.1, Jinji Road, Guilin 541004, Guangxi, China
nanjiangxia@guet.edu.cn, jiangxia1107@163.com
10.22111/ijfs.2013.1313
Triangular intuitionistic fuzzy numbers (TIFNs) is a special case of intuitionistic fuzzy (IF) set and the ranking of TIFNs is an important problem. The aim of this paper is to develop a new methodology for ranking TIFNs by using multiattribute decision making methods (MADM). In this methodology, the value and ambiguity indices of TIFNs may be considered as the attributes and the TIFNs in comparison are seen as the alternatives. A compromise ratio method for fuzzy MADM is developed based on the concept that larger TIFN should close to the maximum value index and is far away from the minimum ambiguity index simultaneously. The proposed ranking method is applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed by using TIFNs. Numerical examples are examined to demonstrate the implementation process and applicability of the proposed method in this paper. Furthermore, a comparison analysis of the proposed method is conducted to show its advantages over other methods.
Triangular intuitionistic fuzzy number,Intuitionistic fuzzy set,Compromise ratio ranking method,Multiattribute decision making
http://ijfs.usb.ac.ir/article_1313.html
http://ijfs.usb.ac.ir/article_1313_f3b8b5d88dde5ce45b434ea6e6048479.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
The optimum support selection by using fuzzy analytical hierarchy process method for Beheshtabad water transporting tunnel in Naien
39
51
EN
Ramin
Rafiee
Mining Engineering, Petroliom and Geophysics Faculty, Shahrood
University of Technology, Shahrood, Iran
raminlamezi@gmail.com
Mohammad
Ataei
Mining Engineering, Petroliom and Geophysics Faculty, Shahrood
University of Technology, Shahrood, Iran
ataei@shahroodut.ac.ir
Seyyed Mohammad Esmaeil
Jalali
Mining Engineering, Petroliom and Geophysics
Faculty, Shahrood University of Technology, Shahrood, Iran
jalalisme@gmail.com
10.22111/ijfs.2013.1314
The engineers can frequently encounter with the situation to select the optimum option among the alternatives related with tunneling operations. The optimum choice can be selected by the experienced engineers taking into consideration their judgment and intuition. However, decision-making methods can offer to the engineers to support their optimum selection for a particular application in a scientific way. The Fuzzy Analytical Hierarchy Process (FAHP) is one of the multi attribute decision-making (MADM) methods utilizing structured pair-wise comparisons. This paper presents an application of the FAHP method to the selection of the optimum support design for water transporting tunnel in Naien. The methodology considers six main criteria, considering: displacement values for determined history locations, factor of safety (FOS), cost (total cost), time, mechanization and applicability factor for the selection of support design. The displacements and stress values were obtained by using the finite difference program FLAC2D as the numerical studies have been widely used by engineers examining the response of tunnels, in advance. After carrying out several numerical models for different support designs, the FAHP method was incorporated to evaluate these support designs according to the pre-determined criteria. These studies show that such FAHP application can effectively assist engineers to evaluate the alternatives support system for tunnels.
FAHP,Optimum support system,Tunnel
http://ijfs.usb.ac.ir/article_1314.html
http://ijfs.usb.ac.ir/article_1314_08e475bb8a1da8644bdc89224cab55ae.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
On Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers
53
62
EN
Pankaj
Kumar
Department of Mathematics, Haryana College of Technology and
Management, Kaithal-136027, Haryana, India
pankaj.lankesh@yahoo.com
Satvinder Singh
Bhatia
School of Mathematics and Computer Application, Thapar
Universtiy, Patiala, Punjab, India
ssbhatia63@yahoo.com
Vijay
Kumar
Department of Mathematics, Haryana College of Technology and
Management, Kaithal-136027, Haryana, India
vjy_kaushik@yahoo.com
10.22111/ijfs.2013.1315
For any lacunary sequence $theta = (k_{r})$, we define the concepts of $S_{theta}-$limit point and $S_{theta}-$cluster point of a sequence of fuzzy numbers $X = (X_{k})$. We introduce the new sets $Lambda^{F}_{S_{theta}}(X)$, $Gamma^{F}_{S_{theta}}(X)$ and prove some inclusion relaions between these and the sets $Lambda^{F}_{S}(X)$, $Gamma^{F}_{S}(X)$ introduced in ~cite{Ayt:Slpsfn} by Aytar [S. Aytar, Statistical limit points of sequences of fuzzy numbers, Inform. Sci. 165 (2004) 129-138]. Later, we find restriction on the lacunary sequence $theta = (k_{r})$ for which the sets $Lambda^{F}_{S_{theta}}(X)$ and $Gamma^{F}_{S_{theta}}(X)$ respectively coincides with the sets $Lambda^{F}_{S}(X)$ and $Gamma^{F}_{S}(X)$.
Statistical convergence,Lacunary sequences,Statistical limit points,Statistical cluster points,Fuzzy number sequences
http://ijfs.usb.ac.ir/article_1315.html
http://ijfs.usb.ac.ir/article_1315_8e4fd7f3f280564325c7d64198d8b509.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
On $varphi $-Contractions in Fuzzy Metric Spaces with Application to the Intuitionistic Setting
63
72
EN
Luis A.
Ricarte
Departamento de Matematica Aplicada, Universitat Politecnica de
Valencia, Cam de Vera s/n, 46022 Valencia, Spain
lricarte@mat.upv.es
Salvador
Romaguera
Instituto Universitario de Matematica Pura y Aplicada, Uni-
versitat Politecnica de Valencia, Cam de Vera s/n, 46022 Valencia, Spain
sromague@mat.upv.es
10.22111/ijfs.2013.1316
We obtain two fixed point theorems for a kind of $varphi $-contractions incomplete fuzzy metric spaces, which are applied to easily deduceintuitionistic versions that improve and simplify the recent results of X.Huang, C. Zhu and X. Wen.
Fuzzy metric space,Intuitionistic fuzzy metric space,Fuzzy $%
\varphi $-contraction,Fixed point
http://ijfs.usb.ac.ir/article_1316.html
http://ijfs.usb.ac.ir/article_1316_90ce1fa56a71ba27c09fbaf9215df4f2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
Some (Fuzzy) Topologies on General\ Fuzzy Automata
73
89
EN
M.
Horry
Shahid Chamran University of Kerman, Kerman, Iran
mohhorry@ chamran edu.ir
M. M.
Zahedi
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
zahedi_mm@mail.uk.ac.ir
10.22111/ijfs.2013.1317
In this paper, by presenting some notions and theorems, we obtaindifferent types of fuzzy topologies. In fact, we obtain someLowen-type and Chang-type fuzzy topologies on general fuzzyautomata. To this end, first we define a Kuratowski fuzzy interioroperator which induces a Lowen-type fuzzy topology on the set ofstates of a max- min general fuzzy automaton. Also by provingsome theorems, we can define two fuzzy closure (two fuzzyinterior) operators on the certain sets related to a general fuzzyautomaton and then according to these notions we give some theoremsand obtain some different Chang-type fuzzy topologies.
(General) Fuzzy automata,(Lowen-type,Chang-type) Fuzzy topology,Closure operator,Topology,Fuzzy closure operator,Fuzzy interior operator
http://ijfs.usb.ac.ir/article_1317.html
http://ijfs.usb.ac.ir/article_1317_04a689b8a6a2f1959a01c33c210909ce.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
Measures of fuzzy semicompactness in $L$-fuzzy topological spaces
91
100
EN
Wen-Hua
Yang
College of Mathematics and Information Science, Shaanxi Normal
University, 710062, Xi'an, P. R. China
huawenyang@126.com
Sheng-Gang
Li
College of Mathematics and Information Science, Shaanxi Normal
University, 710062, Xi'an, P. R. China
shenggangli@yahoo.com.cn
Hu
Zhao
College of Mathematics and Information Science, Shaanxi Normal Univer-
sity, 710062, Xi'an, P. R. China
zhaohu2007@yeah.net
10.22111/ijfs.2013.1319
In this paper, the notion of fuzzy semicompactness degrees isintroduced in $L$-fuzzy topological spaces by means of theimplication operation of $L$. Characterizations of fuzzysemicompactness degrees in $L$-fuzzy topological spaces areobtained, and some properties of fuzzy semicompactness degrees areresearched.
$L$-fuzzy topology,Implication operation,Fuzzy semicompactness,Fuzzy semicompactness degree
http://ijfs.usb.ac.ir/article_1319.html
http://ijfs.usb.ac.ir/article_1319_beba6889825f44bc3c8ba99d8c307a81.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
The number of Fuzzy subgroups of some non-abelian groups
101
107
EN
H.
Darabi
Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, Iran
darabi@iauesf.ac.ir
F.
Saeedi
Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, Iran
saeedi@mshdiau.ac.ir
M.
Farrokhi D. G.
Department of Pure Mathematics, Ferdowsi University of Mash-
had, Mashhad, Iran
m.farrokhi.d.g@gmail.com
10.22111/ijfs.2013.1333
In this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. Explicit formulas are givenfor dihedral groups $D_{2n}$, quasi-dihedral groups $QD_{2^n}$, generalized quaternion groups $Q_{4n}$ and modular $p$-groups $M_{p^n}$.
Fuzzy subgroup,Dihedral group,Generalized quaternion group,Quasi-dihedral $2$-group,Modular $p$-group
http://ijfs.usb.ac.ir/article_1333.html
http://ijfs.usb.ac.ir/article_1333_d76147b842e0c8bba24356ae7eb6604d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
Roughness in modules by using the notion of reference points
109
124
EN
B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
davvaz@yazd.ac.ir
A.
Malekzadeh
Department of Mathematics, Yazd University, Yazd, Iran
malekzadeh 85@yahoo.com
10.22111/ijfs.2013.1334
module over a ring is a general mathematical concept for many examples of mathematicalobjects that can be added to each other and multiplied by scalar numbers.In this paper, we consider a module over a ring as a universe and by using the notion of reference points, we provide local approximations for subsets of the universe.
Rough set,Fuzzy set,Ring,Module,Submodule,Reference point
http://ijfs.usb.ac.ir/article_1334.html
http://ijfs.usb.ac.ir/article_1334_b7e38fe14039de20ab199fb87bb13ee7.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
An explicit formula for the number of fuzzy subgroups of a finite abelian $p$-group\ of rank two
125
135
EN
Ju-Mok
Oh
Mathematics, Gangneung-Wonju National University, Gangneung, Re-
public of Korea
jumokoh@gwnu.ac.kr
10.22111/ijfs.2013.1335
Ngcibi, Murali and Makamba [Fuzzy subgroups of rank two abelian$p$-group, Iranian J. of Fuzzy Systems {bf 7} (2010), 149-153]considered the number of fuzzy subgroups of a finite abelian$p$-group $mathbb{Z}_{p^m}times mathbb{Z}_{p^n}$ of rank two, andgave explicit formulas for the cases when $m$ is any positiveinteger and $n=1,2,3$. Even though their method can be used for thecases when $n=4,5,ldots$ by using inductive arguments, it does notprovide an explicit formula for that number for an arbitrarilygiven positive integer $n$. In this paper we give a complete answerto this problem. Thus for arbitrarily given positive integers $m$and $n$, an explicit formula for the number of fuzzy subgroups of$mathbb{Z}_{p^m}times mathbb{Z}_{p^n}$ is given.
Enumeration,Fuzzy subgroup,Subgroup lattice,Abelian $p$-group,Schr\"{o}der's triangle
http://ijfs.usb.ac.ir/article_1335.html
http://ijfs.usb.ac.ir/article_1335_5968fa05004644552077641dfc99a189.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations
137
151
EN
S.
Arshad
Comsats Institute of information Technology, Lahore, Pakistan and Ab-
dus Salam School of Mathematical Sciences GC University, Lahore, Pakistan
sadia 735@yahoo.com
10.22111/ijfs.2013.1336
The purpose of this paper is to study the fuzzy fractional differentialequations. We prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. Fuzzy derivative is considerin the Goetschel-Voxman sense and fractional derivative is consider in theRiemann Liouville sense. At the end, we give the applications of the mainresult.
Fuzzy numbers,Fuzzy fractional differential equations,Goetschel-Voxman fuzzy derivative,Cauchy problem,Existence and uniqueness result
http://ijfs.usb.ac.ir/article_1336.html
http://ijfs.usb.ac.ir/article_1336_ab08014dcdacd31849ce88955c9e3fe6.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
26
The Remak-Krull-Schmidt Theorem on\ Fuzzy Groups
153
159
EN
Babington
Makamba
Department of Mathematics, University of Fort Hare, Alice
5700 , Eastern Cape , South Africa
bmakamba@ufh.ac.za
Venkat
Murali
Department of Mathematics ( Pure & Applied ), Rhodes University,
Grahamstown 6140, Eastern Cape, South Africa
v.murali@ru.ac.za
10.22111/ijfs.2013.1337
In this paper we study a representation of a fuzzy subgroup $mu$ of a group $G$, as a product of indecomposable fuzzy subgroups called the components of $mu$. This representation is unique up to the number of components and their isomorphic copies. In the crisp group theory, this is a well-known Theorem attributed to Remak, Krull, and Schmidt. We consider the lattice of fuzzy subgroups and some of their properties to prove this theorem. We illustrate with some examples.
Preferential equality,Fuzzy subgroup,Direct product,Indecomposable,Isomorphism,Lattice
http://ijfs.usb.ac.ir/article_1337.html
http://ijfs.usb.ac.ir/article_1337_e18fbd0fd51a1501715cd4e7c8fc4138.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
6
2013
12
29
Persian-translation vol. 10, no. 6, December 2013
163
174
EN
10.22111/ijfs.2013.2699
http://ijfs.usb.ac.ir/article_2699.html
http://ijfs.usb.ac.ir/article_2699_b3f6c0855d99ffb2203b1a2693822375.pdf