Cover vol. 9, no.2, June 2012--
text
article
2012
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
v.
2
no.
2012
0
http://ijfs.usb.ac.ir/article_2814_3efdaf4b7d7898bb81bd2a5adc4dfb94.pdf
dx.doi.org/10.22111/ijfs.2012.2814
BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR
DIFFERENCE EQUATION
Qianhong
Zhang
Guizhou Key Laboratory of Economics System Simulation, Guizhou
University of Finance and Economics, Guiyang, Guizhou 550004, P. R. China
author
Lihui
Yang
Department of Mathematics, Hunan City University, Yiyang, Hunan
413000, P. R. China
author
Daixi
Liao
Basic Science Department, Hunan Institute of Technology, Hengyang,
Hunan 421002, P. R. China
author
text
article
2012
eng
In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{Ax_n+x_{n-1}}{B+x_{n-1}}, n=0,1,cdots,$$ 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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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1
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http://ijfs.usb.ac.ir/article_186_e63ac844771ce71765a6ddb982c26c4c.pdf
dx.doi.org/10.22111/ijfs.2012.186
GENERALIZED FUZZY VALUED $theta$-Choquet INTEGRALS
AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY
Gui-jun
Wang
School of Mathematics Science, Tianjin Normal University, Tianjin
300387, China
author
Xiao-ping
Li
School of Management, Tianjin Normal University, Tianjin 300387,
China
author
text
article
2012
eng
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).\\
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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2012
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http://ijfs.usb.ac.ir/article_188_27cf7a6a718a90a8e7f25002c7228b8f.pdf
dx.doi.org/10.22111/ijfs.2012.188
OPTIMIZED FUZZY CONTROL DESIGN OF AN
AUTONOMOUS UNDERWATER VEHICLE
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
author
Ali Akbar
Safavi
School of Electrical and Computer Engineering, Shiraz Univer-
sity, Shiraz, Iran
author
Ali Reza
Khayatian
School of Electrical and Computer Engineering, Shiraz Uni-
versity, Shiraz, Iran
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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http://ijfs.usb.ac.ir/article_190_6f00eb4c56b4a2714cdf356fa8ec77a5.pdf
dx.doi.org/10.22111/ijfs.2012.190
NON-FRAGILE GUARANTEED COST CONTROL OF
T-S FUZZY TIME-VARYING DELAY SYSTEMS WITH
LOCAL BILINEAR MODELS
Junmin
Li
Department of Mathematics, Xidian University, 710071, Xi'an, P.R. China
author
Guo
Zhang
Department of Electrical Engineering and Automation, Luoyang Insti-
tute of Science and Technology, Luoyang, 471023, P.R. China
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
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http://ijfs.usb.ac.ir/article_195_cc8ebb13014dde2ae177412f1e3d190d.pdf
dx.doi.org/10.22111/ijfs.2012.195
Statistical Convergence and Strong $p-$Ces`{a}ro\ Summability of Order $beta$
in Sequences\ of Fuzzy Numbers
H.
Altinok
Department of Mathematics, Firat University, 23119, Elazig, Turkey
author
Y.
Altin
Department of Mathematics, Firat University, 23119, Elazig, Turkey
author
M.
Isik
Department of Statistics, Firat University, 23119, Elazig, Turkey
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
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no.
2012
63
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http://ijfs.usb.ac.ir/article_207_08995fac86ec1ef481d2824f5ac8adbd.pdf
dx.doi.org/10.22111/ijfs.2012.207
A MODIFICATION ON RIDGE ESTIMATION FOR FUZZY
NONPARAMETRIC REGRESSION
Rahman
Farnoosh
School of Mathematics, Iran University of Science and Tech-
nology, Narmak, Tehran-16846, Iran
author
Javad
Ghasemian
School of Mathematics, Iran University of Science and Technol-
ogy, Narmak, Tehran-16846, Iran
author
Omid
Solaymani Fard
School of Mathematics and Computer Science, Damghan Uni-
versity, Damghan, Iran
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
v.
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no.
2012
75
88
http://ijfs.usb.ac.ir/article_208_2e0cee241fca30013729165d21197b5d.pdf
dx.doi.org/10.22111/ijfs.2012.208
Delay-dependent robust stabilization and $H_{infty}$
control for uncertain stochastic T-S fuzzy systems with multiple
time delays
T.
Senthilkumar
Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
author
P.
Balasubramaniam
Department of Mathematics, Gandhigram Rural Institute-
Deemed University, Gandhigram - 624 302, Tamilnadu, India
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
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no.
2012
89
111
http://ijfs.usb.ac.ir/article_210_c71a2f62a18060ea4d8bb698859af37c.pdf
dx.doi.org/10.22111/ijfs.2012.210
ON GENERALIZED FUZZY MULTISETS AND THEIR USE IN
COMPUTATION
Apostolos
Syropoulos
Greek Molecular Computing Group, 366, 28th October St.,
GR-67100 Xanthi, Greece
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
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no.
2012
113
125
http://ijfs.usb.ac.ir/article_213_88c01df01c2fd5e86ccf933534b6ff70.pdf
dx.doi.org/10.22111/ijfs.2012.213
GLOBAL ROBUST STABILITY CRITERIA FOR T-S FUZZY
SYSTEMS WITH DISTRIBUTED DELAYS AND TIME
DELAY IN THE LEAKAGE TERM
P.
Balasubramaniam
Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
author
S.
Lakshmanan
Department of Mathematics, Gandhigram Rural Institute-Deemed
University, Gandhigram - 624 302, Tamilnadu, India
author
R.
Rakkiyappan
Department of Mathematics, Bharathiar University, Coimbatore -
641 046, Tamilnadu, India
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
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no.
2012
127
146
http://ijfs.usb.ac.ir/article_215_3ee14b4127b1a40c41c3f413180b869d.pdf
dx.doi.org/10.22111/ijfs.2012.215
$L-$ordered Fuzzifying Convergence Spaces
Wenchao
Wu
Department of Mathematics, Ocean University of China, 266100 Qing-
dao, P. R. China
author
Jinming
Fang
Department of Mathematics, Ocean University of China, 266100 Qing-
dao, P. R. China
author
text
article
2012
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
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no.
2012
147
161
http://ijfs.usb.ac.ir/article_218_4456b5694af5a1cad3cb181a7369d315.pdf
dx.doi.org/10.22111/ijfs.2012.218
Persian-translation vol. 9, no.2, June 2012
text
article
2012
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
9
v.
2
no.
2012
165
174
http://ijfs.usb.ac.ir/article_2815_c720f955814b2a6e18c7d9511c5ca803.pdf
dx.doi.org/10.22111/ijfs.2012.2815