eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-30
10
6
0
10.22111/ijfs.2013.2698
2698
Cover vol. 10, no. 6, December 2013
http://ijfs.usb.ac.ir/article_2698_a23462a8d48310202dba8beccd05a970.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-25
10
6
1
19
10.22111/ijfs.2013.1309
1309
مقاله پژوهشی
Spectrum Assignment in Cognitive Radio Networks Using Fuzzy Logic Empowered Ants
Farokh Koroupi
fkoropi@iausirjan.ac.ir
1
Hojjat Salehinejad
h.salehi@eng.uk.ac.ir
2
Siamak Talebi
siamak.talebi@uk.ac.ir
3
Department of Computer Engineering, Sirjan Branch, Islamic Azad University, Sirjan, Iran
Department of Electrical Engineering, Shahid Bahonar Uni- versity of Kerman, Kerman, Iran
Department of Electrical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_1309_185a111fcc31265b0f3e9bd82065a8e4.pdf
Ant colony system
Cognitive radio networks
Graph coloring problem
Fuzzy logic
Smart grids
Spectrum assignment
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
21
37
10.22111/ijfs.2013.1313
1313
مقاله پژوهشی
A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\ and Its Application to MADM Problems
Maojun Zhang
zhang1977108@sina.com
1
Jiangxia Nan
nanjiangxia@guet.edu.cn, jiangxia1107@163.com
2
School of Mathematics and Computing Sciences, Guilin University of Electronic Technology, No.1, Jinji Road, Guilin 541004, Guangxi, China
School of Mathematics and Computing Sciences, Guilin University of Electronic Technology, No.1, Jinji Road, Guilin 541004, Guangxi, China
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.
http://ijfs.usb.ac.ir/article_1313_f3b8b5d88dde5ce45b434ea6e6048479.pdf
Triangular intuitionistic fuzzy number
Intuitionistic fuzzy set
Compromise ratio ranking method
Multiattribute decision making
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
39
51
10.22111/ijfs.2013.1314
1314
مقاله پژوهشی
The optimum support selection by using fuzzy analytical hierarchy process method for Beheshtabad water transporting tunnel in Naien
Ramin Rafiee
raminlamezi@gmail.com
1
Mohammad Ataei
ataei@shahroodut.ac.ir
2
Seyyed Mohammad Esmaeil Jalali
jalalisme@gmail.com
3
Mining Engineering, Petroliom and Geophysics Faculty, Shahrood University of Technology, Shahrood, Iran
Mining Engineering, Petroliom and Geophysics Faculty, Shahrood University of Technology, Shahrood, Iran
Mining Engineering, Petroliom and Geophysics Faculty, Shahrood University of Technology, Shahrood, Iran
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.
http://ijfs.usb.ac.ir/article_1314_08e475bb8a1da8644bdc89224cab55ae.pdf
FAHP
Optimum support system
Tunnel
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
53
62
10.22111/ijfs.2013.1315
1315
مقاله پژوهشی
On Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers
Pankaj Kumar
pankaj.lankesh@yahoo.com
1
Satvinder Singh Bhatia
ssbhatia63@yahoo.com
2
Vijay Kumar
vjy_kaushik@yahoo.com
3
Department of Mathematics, Haryana College of Technology and Management, Kaithal-136027, Haryana, India
School of Mathematics and Computer Application, Thapar Universtiy, Patiala, Punjab, India
Department of Mathematics, Haryana College of Technology and Management, Kaithal-136027, Haryana, India
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 $Gamma^{F}_{S}(X)$.
http://ijfs.usb.ac.ir/article_1315_8e4fd7f3f280564325c7d64198d8b509.pdf
Statistical convergence
Lacunary sequences
Statistical limit points
Statistical cluster points
Fuzzy number sequences
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
63
72
10.22111/ijfs.2013.1316
1316
مقاله پژوهشی
On $varphi $-Contractions in Fuzzy Metric Spaces with Application to the Intuitionistic Setting
Luis A. Ricarte
lricarte@mat.upv.es
1
Salvador Romaguera
sromague@mat.upv.es
2
Departamento de Matematica Aplicada, Universitat Politecnica de Valencia, Cam de Vera s/n, 46022 Valencia, Spain
Instituto Universitario de Matematica Pura y Aplicada, Uni- versitat Politecnica de Valencia, Cam de Vera s/n, 46022 Valencia, Spain
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.
http://ijfs.usb.ac.ir/article_1316_90ce1fa56a71ba27c09fbaf9215df4f2.pdf
Fuzzy metric space
Intuitionistic fuzzy metric space
Fuzzy $%
varphi $-contraction
Fixed point
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
73
89
10.22111/ijfs.2013.1317
1317
مقاله پژوهشی
Some (Fuzzy) Topologies on General\ Fuzzy Automata
M. Horry
mohhorry@ chamran edu.ir
1
M. M. Zahedi
zahedi_mm@mail.uk.ac.ir
2
Shahid Chamran University of Kerman, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_1317_04a689b8a6a2f1959a01c33c210909ce.pdf
(General) Fuzzy automata
(Lowen-type
Chang-type) Fuzzy topology
Closure operator
Topology
Fuzzy closure operator
Fuzzy interior operator
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
91
100
10.22111/ijfs.2013.1319
1319
مقاله پژوهشی
Measures of fuzzy semicompactness in $L$-fuzzy topological spaces
Wen-Hua Yang
huawenyang@126.com
1
Sheng-Gang Li
shenggangli@yahoo.com.cn
2
Hu Zhao
zhaohu2007@yeah.net
3
College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi'an, P. R. China
College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi'an, P. R. China
College of Mathematics and Information Science, Shaanxi Normal Univer- sity, 710062, Xi'an, P. R. China
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.
http://ijfs.usb.ac.ir/article_1319_beba6889825f44bc3c8ba99d8c307a81.pdf
$L$-fuzzy topology
Implication operation
Fuzzy semicompactness
Fuzzy semicompactness degree
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
101
107
10.22111/ijfs.2013.1333
1333
مقاله پژوهشی
The number of Fuzzy subgroups of some non-abelian groups
H. Darabi
darabi@iauesf.ac.ir
1
F. Saeedi
saeedi@mshdiau.ac.ir
2
M. Farrokhi D. G.
m.farrokhi.d.g@gmail.com
3
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Department of Pure Mathematics, Ferdowsi University of Mash- had, Mashhad, Iran
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 $M_{p^n}$.
http://ijfs.usb.ac.ir/article_1333_d76147b842e0c8bba24356ae7eb6604d.pdf
Fuzzy subgroup
Dihedral group
Generalized quaternion group
Quasi-dihedral $2$-group
Modular $p$-group
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
109
124
10.22111/ijfs.2013.1334
1334
مقاله پژوهشی
Roughness in modules by using the notion of reference points
B. Davvaz
davvaz@yazd.ac.ir
1
A. Malekzadeh
malekzadeh 85@yahoo.com
2
Department of Mathematics, Yazd University, Yazd, Iran
Department of Mathematics, Yazd University, Yazd, Iran
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.
http://ijfs.usb.ac.ir/article_1334_b7e38fe14039de20ab199fb87bb13ee7.pdf
Rough set
Fuzzy set
Ring
Module
Submodule
Reference point
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
125
135
10.22111/ijfs.2013.1335
1335
مقاله پژوهشی
An explicit formula for the number of fuzzy subgroups of a finite abelian $p$-group\ of rank two
Ju-Mok Oh
jumokoh@gwnu.ac.kr
1
Mathematics, Gangneung-Wonju National University, Gangneung, Re- public of Korea
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.
http://ijfs.usb.ac.ir/article_1335_5968fa05004644552077641dfc99a189.pdf
Enumeration
Fuzzy subgroup
Subgroup lattice
Abelian $p$-group
Schr"{o}der's triangle
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
137
151
10.22111/ijfs.2013.1336
1336
مقاله پژوهشی
On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations
S. Arshad
sadia 735@yahoo.com
1
Comsats Institute of information Technology, Lahore, Pakistan and Ab- dus Salam School of Mathematical Sciences GC University, Lahore, Pakistan
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.
http://ijfs.usb.ac.ir/article_1336_ab08014dcdacd31849ce88955c9e3fe6.pdf
Fuzzy numbers
Fuzzy fractional differential equations
Goetschel-Voxman fuzzy derivative
Cauchy problem
Existence and uniqueness result
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-26
10
6
153
159
10.22111/ijfs.2013.1337
1337
مقاله پژوهشی
The Remak-Krull-Schmidt Theorem on\ Fuzzy Groups
Babington Makamba
bmakamba@ufh.ac.za
1
Venkat Murali
v.murali@ru.ac.za
2
Department of Mathematics, University of Fort Hare, Alice 5700 , Eastern Cape , South Africa
Department of Mathematics ( Pure & Applied ), Rhodes University, Grahamstown 6140, Eastern Cape, South Africa
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.
http://ijfs.usb.ac.ir/article_1337_e18fbd0fd51a1501715cd4e7c8fc4138.pdf
Preferential equality
Fuzzy subgroup
Direct product
Indecomposable
Isomorphism
Lattice
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-12-29
10
6
163
174
10.22111/ijfs.2013.2699
2699
Persian-translation vol. 10, no. 6, December 2013
http://ijfs.usb.ac.ir/article_2699_b3f6c0855d99ffb2203b1a2693822375.pdf