2018-05-27T12:05:41Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=233
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
Cover vol. 10, no. 6, December 2013
2013
12
30
0
http://ijfs.usb.ac.ir/article_2698_a23462a8d48310202dba8beccd05a970.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
Spectrum Assignment in Cognitive Radio Networks Using Fuzzy Logic Empowered Ants
Farokh
Koroupi
Hojjat
Salehinejad
Siamak
Talebi
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
2013
12
25
1
19
http://ijfs.usb.ac.ir/article_1309_185a111fcc31265b0f3e9bd82065a8e4.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\ and Its Application to MADM Problems
Maojun
Zhang
Jiangxia
Nan
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
2013
12
26
21
37
http://ijfs.usb.ac.ir/article_1313_f3b8b5d88dde5ce45b434ea6e6048479.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
The optimum support selection by using fuzzy analytical hierarchy process method for Beheshtabad water transporting tunnel in Naien
Ramin
Rafiee
Mohammad
Ataei
Seyyed Mohammad Esmaeil
Jalali
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
2013
12
26
39
51
http://ijfs.usb.ac.ir/article_1314_08e475bb8a1da8644bdc89224cab55ae.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
On Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers
Pankaj
Kumar
Satvinder Singh
Bhatia
Vijay
Kumar
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
2013
12
26
53
62
http://ijfs.usb.ac.ir/article_1315_8e4fd7f3f280564325c7d64198d8b509.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
On $varphi $-Contractions in Fuzzy Metric Spaces with Application to the Intuitionistic Setting
Luis A.
Ricarte
Salvador
Romaguera
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
2013
12
26
63
72
http://ijfs.usb.ac.ir/article_1316_90ce1fa56a71ba27c09fbaf9215df4f2.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
Some (Fuzzy) Topologies on General\ Fuzzy Automata
M.
Horry
M. M.
Zahedi
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
2013
12
26
73
89
http://ijfs.usb.ac.ir/article_1317_04a689b8a6a2f1959a01c33c210909ce.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
Measures of fuzzy semicompactness in $L$-fuzzy topological spaces
Wen-Hua
Yang
Sheng-Gang
Li
Hu
Zhao
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
2013
12
26
91
100
http://ijfs.usb.ac.ir/article_1319_beba6889825f44bc3c8ba99d8c307a81.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
The number of Fuzzy subgroups of some non-abelian groups
H.
Darabi
F.
Saeedi
M.
Farrokhi D. G.
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
2013
12
26
101
107
http://ijfs.usb.ac.ir/article_1333_d76147b842e0c8bba24356ae7eb6604d.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
Roughness in modules by using the notion of reference points
B.
Davvaz
A.
Malekzadeh
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
2013
12
26
109
124
http://ijfs.usb.ac.ir/article_1334_b7e38fe14039de20ab199fb87bb13ee7.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
An explicit formula for the number of fuzzy subgroups of a finite abelian $p$-group\ of rank two
Ju-Mok
Oh
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
2013
12
26
125
135
http://ijfs.usb.ac.ir/article_1335_5968fa05004644552077641dfc99a189.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations
S.
Arshad
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
2013
12
26
137
151
http://ijfs.usb.ac.ir/article_1336_ab08014dcdacd31849ce88955c9e3fe6.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
The Remak-Krull-Schmidt Theorem on\ Fuzzy Groups
Babington
Makamba
Venkat
Murali
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
2013
12
26
153
159
http://ijfs.usb.ac.ir/article_1337_e18fbd0fd51a1501715cd4e7c8fc4138.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
6
Persian-translation vol. 10, no. 6, December 2013
2013
12
29
163
174
http://ijfs.usb.ac.ir/article_2699_b3f6c0855d99ffb2203b1a2693822375.pdf