University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
01
Cover vol. 9, no.2, June 2012--
0
EN
10.22111/ijfs.2012.2814
http://ijfs.usb.ac.ir/article_2814.html
http://ijfs.usb.ac.ir/article_2814_3efdaf4b7d7898bb81bd2a5adc4dfb94.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
08
BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR
DIFFERENCE EQUATION
1
12
EN
Qianhong
Zhang
Guizhou Key Laboratory of Economics System Simulation, Guizhou
University of Finance and Economics, Guiyang, Guizhou 550004, P. R. China
zqianhong68@com.cn
Lihui
Yang
Department of Mathematics, Hunan City University, Yiyang, Hunan
413000, P. R. China
ll.hh.yang@gmail.com
Daixi
Liao
Basic Science Department, Hunan Institute of Technology, Hengyang,
Hunan 421002, P. R. China
liaodaixizaici@sohu.com
10.22111/ijfs.2012.186
In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{Ax_n+x_{n-1}}{B+x_{n-1}}, n=0,1,cdots,$$Â where $(x_n)$ is a sequence of positive fuzzy number, $A, B$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.
Fuzzy difference equation,Boundedness,Persistence,Equilibrium
point,Stability
http://ijfs.usb.ac.ir/article_186.html
http://ijfs.usb.ac.ir/article_186_e63ac844771ce71765a6ddb982c26c4c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
08
GENERALIZED FUZZY VALUED $theta$-Choquet INTEGRALS
AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY
13
24
EN
Gui-jun
Wang
School of Mathematics Science, Tianjin Normal University, Tianjin
300387, China
tjwgj@126.com
Xiao-ping
Li
School of Management, Tianjin Normal University, Tianjin 300387,
China
lxpmath@126.com
10.22111/ijfs.2012.188
The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-double-null asymptotic additivity of thefuzzy valued set functions formed are studied when the fuzzymeasure satisfies autocontinuity from above (below).\
Fuzzy measures,Fuzzy valued $theta$-Choquet integrals,Autocontinuous
from above (below),Double-null asymptotic additive,Pseudo-double-null asymptotic additive
http://ijfs.usb.ac.ir/article_188.html
http://ijfs.usb.ac.ir/article_188_27cf7a6a718a90a8e7f25002c7228b8f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
08
OPTIMIZED FUZZY CONTROL DESIGN OF AN
AUTONOMOUS UNDERWATER VEHICLE
25
41
EN
Behrooz
Raeisy
School of Electrical and Computer Engineering, Shiraz Univer-
sity, Shiraz, Iran and Iranian Space Agency, Iranian Space Center, Mechanic Institute,
Shiraz, Iran, P.O. Box: 71555-414
raeisy@shirazu.ac.ir
Ali Akbar
Safavi
School of Electrical and Computer Engineering, Shiraz Univer-
sity, Shiraz, Iran
safavi@shirazu.ac.ir
Ali Reza
Khayatian
School of Electrical and Computer Engineering, Shiraz Uni-
versity, Shiraz, Iran
khayatia@shirazu.ac.ir
10.22111/ijfs.2012.190
In this study, the roll, yaw and depth fuzzy control of an Au- tonomous Underwater Vehicle (AUV) are addressed. Yaw and roll angles are regulated only using their errors and rates, but due to the complexity of depth dynamic channel, additional pitch rate quantity is used to improve the depth loop performance. The discussed AUV has four aps at the rear of the vehicle as actuators. Two rule bases and membership functions based on Mamdani type and Sugeno type fuzzy rule have been chosen in each loop. By invoking the normalized steepest descent optimization method, the optimum values for the membership function parameters are found. Though the AUV is a highly nonlinear system, the simulation of the designed fuzzy logic control system based on the equations of motion shows desirable behavior of the AUV spe- cially when the parameters of the fuzzy membership functions are optimized.
Fuzzy optimized control,Autonomous underwater vehicle,Normalized
steepest descent,neural network
http://ijfs.usb.ac.ir/article_190.html
http://ijfs.usb.ac.ir/article_190_6f00eb4c56b4a2714cdf356fa8ec77a5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
08
NON-FRAGILE GUARANTEED COST CONTROL OF
T-S FUZZY TIME-VARYING DELAY SYSTEMS WITH
LOCAL BILINEAR MODELS
43
62
EN
Junmin
Li
Department of Mathematics, Xidian University, 710071, Xi'an, P.R. China
jmli@mail.xidian.edu.cn
Guo
Zhang
Department of Electrical Engineering and Automation, Luoyang Insti-
tute of Science and Technology, Luoyang, 471023, P.R. China
gzhang163163@163.com
10.22111/ijfs.2012.195
This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance is no more than a certain upper bound in the presence of the additive controller gain perturbations. A sufficient condition for the existence of such non-fragile guaranteed cost controllers is derived via the linear matrix inequality (LMI) approach and the design problem of the fuzzy controller is formulated in term of LMIs. The simulation examples show that the proposed approach is effective.
Fuzzy control,Non-fragile control,Guaranteed cost control,Delaydependent,Linear Matrix Inequality (LMI),T-S fuzzy bilinear model
http://ijfs.usb.ac.ir/article_195.html
http://ijfs.usb.ac.ir/article_195_cc8ebb13014dde2ae177412f1e3d190d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
10
Statistical Convergence and Strong $p-$Ces`{a}ro Summability of Order $beta$
in Sequences of Fuzzy Numbers
63
73
EN
H.
Altinok
Department of Mathematics, Firat University, 23119, Elazig, Turkey
hifsialtinok@yahoo.com
Y.
Altin
Department of Mathematics, Firat University, 23119, Elazig, Turkey
yaltin23@yahoo.com
M.
Isik
Department of Statistics, Firat University, 23119, Elazig, Turkey
misik63@yahoo.com
10.22111/ijfs.2012.207
In this study we introduce the concepts of statistical convergence of order$beta$ and strong $p-$Ces`{a}ro summability of order $beta$ for sequencesof fuzzy numbers. Also, we give some relations between the statisticalconvergence of order $beta$ and strong $p-$Ces`{a}ro summability of order$beta$ and construct some interesting examples.
Fuzzy number,Statistical convergence,Cesro summability
http://ijfs.usb.ac.ir/article_207.html
http://ijfs.usb.ac.ir/article_207_08995fac86ec1ef481d2824f5ac8adbd.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
10
A MODIFICATION ON RIDGE ESTIMATION FOR FUZZY
NONPARAMETRIC REGRESSION
75
88
EN
Rahman
Farnoosh
School of Mathematics, Iran University of Science and Tech-
nology, Narmak, Tehran-16846, Iran
rfarnoosh@iust.ac.ir
Javad
Ghasemian
School of Mathematics, Iran University of Science and Technol-
ogy, Narmak, Tehran-16846, Iran
jghasemian@iust.ac.ir, jghasemian@gmail.com
Omid
Solaymani Fard
School of Mathematics and Computer Science, Damghan Uni-
versity, Damghan, Iran
osfard@du.ac.ir, omidsfard@gmail.com
10.22111/ijfs.2012.208
This paper deals with ridge estimation of fuzzy nonparametric regression models using triangular fuzzy numbers. This estimation method is obtained by implementing ridge regression learning algorithm in the La- grangian dual space. The distance measure for fuzzy numbers that suggested by Diamond is used and the local linear smoothing technique with the cross- validation procedure for selecting the optimal value of the smoothing param- eter is fuzzi ed to t the presented model. Some simulation experiments are then presented which indicate the performance of the proposed method.
Fuzzy regression,Ridge estimation,Fuzzy nonparametric regression,Local linear smoothing
http://ijfs.usb.ac.ir/article_208.html
http://ijfs.usb.ac.ir/article_208_2e0cee241fca30013729165d21197b5d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
10
Delay-dependent robust stabilization and $H_{infty}$
control for uncertain stochastic T-S fuzzy systems with multiple
time delays
89
111
EN
T.
Senthilkumar
Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
tskumar2410@gmail.com
P.
Balasubramaniam
Department of Mathematics, Gandhigram Rural Institute-
Deemed University, Gandhigram - 624 302, Tamilnadu, India
balugru@gmail.com
10.22111/ijfs.2012.210
In this paper, the problems of robust stabilization and$H_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the Takagi-Sugeno (T-S) fuzzymodel have been studied. By constructing a new Lyapunov-Krasovskiifunctional (LKF) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $H_{infty}$ control scheme are presented in terms of linear matrixinequalities (LMIs). By solving these LMIs, a desired fuzzycontroller can be obtained which can be easily calculated byMatlab LMI control toolbox. Finally, a numerical simulation isgiven to illustrate the effectiveness of the proposed method.
Takagi-Sugeno (T-S) fuzzy systems,Robust $H_{infty}$ control,Stochastic system,Linear matrix inequalities (LMIs),Multiple time
delays,Lyapunov-Krasovskii functional (LKF)
http://ijfs.usb.ac.ir/article_210.html
http://ijfs.usb.ac.ir/article_210_c71a2f62a18060ea4d8bb698859af37c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
10
ON GENERALIZED FUZZY MULTISETS AND THEIR USE IN
COMPUTATION
113
125
EN
Apostolos
Syropoulos
Greek Molecular Computing Group, 366, 28th October St.,
GR-67100 Xanthi, Greece
asyropoulos@yahoo.com
10.22111/ijfs.2012.213
An orthogonal approach to the fuzzification of both multisets and hybridsets is presented. In particular, we introduce $L$-multi-fuzzy and$L$-fuzzy hybrid sets, which are general enough and in spirit with thebasic concepts of fuzzy set theory. In addition, we study the properties ofthese structures. Also, the usefulness of these structures is examined inthe framework of mechanical multiset processing. More specifically, weintroduce a variant of fuzzy P~systems and, since simplefuzzy membrane systems have been introduced elsewhere, we simply extendpreviously stated results and ideas.
L-fuzzy sets,Fuzzy Multisets,Computability,P Systems
http://ijfs.usb.ac.ir/article_213.html
http://ijfs.usb.ac.ir/article_213_88c01df01c2fd5e86ccf933534b6ff70.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
10
GLOBAL ROBUST STABILITY CRITERIA FOR T-S FUZZY
SYSTEMS WITH DISTRIBUTED DELAYS AND TIME
DELAY IN THE LEAKAGE TERM
127
146
EN
P.
Balasubramaniam
Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
balugru@gmail.com
S.
Lakshmanan
Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
lakshm@gmail.com
R.
Rakkiyappan
Department of Mathematics, Bharathiar University, Coimbatore -
641 046, Tamilnadu, India
rakkigru@gmail.com
10.22111/ijfs.2012.215
The paper is concerned with robust stability criteria for Takagi- Sugeno (T-S) fuzzy systems with distributed delays and time delay in the leakage term. By exploiting a model transformation, the system is converted to one of the neutral delay system. Global robust stability result is proposed by a new Lyapunov-Krasovskii functional which takes into account the range of delay and by making use of some inequality techniques. Based on the interval time-varying delays, new stability criteria are obtained in terms of linear matrix inequalities (LMIs). Finally, three numerical examples and their simulations are given to show the effectiveness and advantages of our results.
Delay-dependent stability,Linear matrix inequality,Lyapunovâ€“Krasovskii
functional,T-S fuzzy systems
http://ijfs.usb.ac.ir/article_215.html
http://ijfs.usb.ac.ir/article_215_3ee14b4127b1a40c41c3f413180b869d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
10
$L-$ordered Fuzzifying Convergence Spaces
147
161
EN
Wenchao
Wu
Department of Mathematics, Ocean University of China, 266100 Qing-
dao, P. R. China
wuwenchao107@163.com
Jinming
Fang
Department of Mathematics, Ocean University of China, 266100 Qing-
dao, P. R. China
jinming-fang@163.com
10.22111/ijfs.2012.218
Based on a complete Heyting algebra, we modify the definition oflattice-valued fuzzifying convergence space using fuzzy inclusionorder and construct in this way a Cartesian-closed category, calledthe category of $L-$ordered fuzzifying convergence spaces, in whichthe category of $L-$fuzzifying topological spaces can be embedded.In addition, two new categories are introduced, which are called thecategory of principal $L-$ordered fuzzifying convergence spaces andthat of topological $L-$ordered fuzzifying convergence spaces, andit is shown that they are isomorphic to the category of$L-$fuzzifying neighborhood spaces and that of $L-$fuzzifyingtopological spaces respectively.
$L-$fuzzifying topology,$L-$ordered fuzzifying convergence structure,$L-$filter,Cartesian-closed category,Reflective subcategory
http://ijfs.usb.ac.ir/article_218.html
http://ijfs.usb.ac.ir/article_218_4456b5694af5a1cad3cb181a7369d315.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
9
2
2012
06
01
Persian-translation vol. 9, no.2, June 2012
165
174
EN
10.22111/ijfs.2012.2815
http://ijfs.usb.ac.ir/article_2815.html
http://ijfs.usb.ac.ir/article_2815_c720f955814b2a6e18c7d9511c5ca803.pdf