University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
30
Cove vol.6, no.3, October 2009
0
EN
10.22111/ijfs.2009.2895
http://ijfs.usb.ac.ir/article_2895.html
http://ijfs.usb.ac.ir/article_2895_46b90c9ca9a90b578f53385ed682e689.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
10
MINIMUM TIME SWING UP AND STABILIZATION OF
ROTARY INVERTED PENDULUM USING PULSE STEP
CONTROL
1
15
EN
P
Melba Mary
Anna University, Department of Electrical and Electronics Engineering,
TamilNadu, India
melbance 2k4@yahoo.co.in
N. S.
Marimuthu
Anna University, Department of Electrical and Electronics Engineering,
TamilNadu, India
drnsmphd@yahoo.co.in
10.22111/ijfs.2009.197
This paper proposes an approach for the minimum time swing upof a rotary inverted pendulum. Our rotary inverted pendulum is supported bya pivot arm. The pivot arm rotates in a horizontal plane by means of a servomotor. The opposite end of the arm is instrumented with a joint whose axisis along the radial direction of the motor. A pendulum is suspended at thejoint. The task is to design a controller that swings up the pendulum, keepsit upright and maintains the arm position. In the general intelligent hybridcontroller, a PD controller with a positive feedback is designed for swinging upand a fuzzy balance controller is designed for stabilization. In order to achievethe swing up in a minimal time, a controller named Minimum Time IntelligentHybrid Controller is proposed which is precisely a PD controller together witha pulse step controller for swinging up along with the fuzzy balance controllerfor stabilization. The impulsive control action is tuned by trial and errorto achieve the minimum-time swing-up. An energy based switching controlmethod is proposed to switch over from swing up mode to stabilization mode.Extensive computer simulation results demonstrate that the swing up timeof the proposed minimum-time controller is significantly less than that of theexisting general hybrid nonlinear controller.
Fuzzy logic control (FLC),Rotary inverted pendulum (RIP),Swing up
control,PD control,Energy based switching control,Hybrid control and Minimum-time control
http://ijfs.usb.ac.ir/article_197.html
http://ijfs.usb.ac.ir/article_197_db94d0141b1671df88589cda49c3502e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
10
FUZZY LINEAR PROGRAMMING WITH GRADES OF
SATISFACTION IN CONSTRAINTS
17
35
EN
Nikbakhsh
Javadian
Department of Industrial Engineering, Mazandaran University
of Science and Technology, Babol, Iran
nijavadian@ustmb.ac.ir
Yashar
Maali
Department of Industrial Engineering, Mazandaran University of
Science and Technology, Babol, Iran
y_maali@ustmb.ac.ir
Nezam
Mahdavi-Amiri
Department of Mathematical Sciences, Sharif University of
Technology, P.O. Box 11365-9415, Tehran, Iran
nezamm@sharif.edu
10.22111/ijfs.2009.198
We present a new model and a new approach for solving fuzzylinear programming (FLP) problems with various utilities for the satisfactionof the fuzzy constraints. The model, constructed as a multi-objective linearprogramming problem, provides flexibility for the decision maker (DM), andallows for the assignment of distinct weights to the constraints and the objectivefunction. The desired solution is obtained by solving a crisp problemcontrolled by a parameter. We establish the validity of the proposed modeland study the effect of the control parameter on the solution. We also illustratethe efficiency of the model and present three algorithms for solving theFLP problem, the first of which obtains a desired solution by solving a singlecrisp problem. The other two algorithms, interact with the decision maker,and compute a solution which achieves a given satisfaction level. Finally, wepresent an illustrative example showing that the solutions obtained are ofteneven more satisfactory than asked for.
Fuzzy linear programming,Fuzzy constraints,Multi-objective linear
programming
http://ijfs.usb.ac.ir/article_198.html
http://ijfs.usb.ac.ir/article_198_7226b83fe87443caa21599dac85680c6.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
10
FUZZY TRANSPOSITION HYPERGROUPS
37
52
EN
Goutam
Chowdhury
Department of Mathematics, Derozio Memorial College
Rajarhat Road, Kolkata-700136, India
chowdhurygoutam@yahoo.com
10.22111/ijfs.2009.199
In this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.We also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.
Semihypergroup,Fuzzy semihypergroup,Fuzzy hypergroup,Fuzzy
transposition hypergroup,Fuzzy subsemihypergroup,Fuzzy subhypergroup,Fuzzy closed set,Fuzzy reflexive subsemihypergroup,Fuzzy normal subsemihypergroup,Fuzzy regular relation,Fuzzy quotient hypergroup
http://ijfs.usb.ac.ir/article_199.html
http://ijfs.usb.ac.ir/article_199_4d70cb34aa0aa3c138225bb4f4a84eb9.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
10
Some types of $(in,ivq)$-interval-valued fuzzy
ideals of BCI algebras
53
63
EN
Xueling.
Ma
Department of Mathematics, Hubei Institute for Nationalities,
Enshi, Hubei Province,445000, P. R. China
Jianming.
Zhan
Department of Mathematics, Hubei Institute for Nationalities,
Enshi, Hubei Province,445000, P. R. China
zhanjianming@hotmail.com
Young Bea
Jun
Department of Mathematics Education, Gyeongsang National University,
Chinju 660-701, Korea
skywine@gmail.com
10.22111/ijfs.2009.200
In this paper, we introduce the notions of interval-valued and $(in,ivq)$-interval-valued fuzzy ($p$-,$q$- and $a$-) ideals of BCI algebras and investigate some of their properties. We then derive characterization theorems for these generalized interval-valued fuzzy ideals and discuss their relationship.
http://ijfs.usb.ac.ir/article_200.html
http://ijfs.usb.ac.ir/article_200_da5a23de010339b6dc1ec0f1cf5a965c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
10
EMBEDDING OF THE LATTICE OF IDEALS OF A RING INTO
ITS LATTICE OF FUZZY IDEALS
65
71
EN
Iffat
Jahan
Department of Mathematics, Ramjas College, University Of Delhi,
Delhi, India
ij.umar@yahoo.com
10.22111/ijfs.2009.201
We show that the lattice of all ideals of a ring $R$ can be embedded in the lattice of all its fuzzyideals in uncountably many ways. For this purpose, we introduce the concept of the generalizedcharacteristic function $chi _{s}^{r} (A)$ of a subset $A$ of a ring $R$ forfixed $r , sin [0,1] $ and show that $A$ is an ideal of $R$ if, and only if, its generalizedcharacteristic function $chi _{s}^{r} (A)$ is a fuzzy ideal of $R$. We alsoshow that the set of all generalized characteristic functions $C_{s}^{r}(I(R))$ of the members of $I(R)$ for fixed $r , sin [0,1] $ is acomplete sublattice of the lattice of all fuzzy ideals of $R$ and establishthat this latter lattice is generated by the union of allits complete sublattices $C_{s}^{r} (I(R))$.
Algebra,Ideal of a ring,Morphism,Embedding,Lattice
http://ijfs.usb.ac.ir/article_201.html
http://ijfs.usb.ac.ir/article_201_bd470dfb2a74278bd4d77763cb364c23.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
10
FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED
SETS IN I-TOPOLOGICAL VECTOR SPACES
73
90
EN
Shen-Qing
Jiang
Institute of Math., school of Math. and Computer Sciences, Nanjing
Normal University, Nanjing Jiangsu 210046, People0 s Republic of China
jsq288@163.com
Cong-hua
Yan
Institute of Math., school of Math. and Computer Sciences, Nanjing
Normal University, Nanjing Jiangsu 210046, People0 s Republic of China
chyan@njnu.edu.cn
10.22111/ijfs.2009.202
In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.
I-topological vector space,Fuzzy bounded set,Totally fuzzy bounded
set,N-compact set
http://ijfs.usb.ac.ir/article_202.html
http://ijfs.usb.ac.ir/article_202_64a93cd049b93f2b635f02575c9de600.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
3
2009
10
30
Persian-translation vol.6, no.3, October 2009
93
98
EN
10.22111/ijfs.2009.2896
http://ijfs.usb.ac.ir/article_2896.html
http://ijfs.usb.ac.ir/article_2896_330c2cb514e8384fadcc4d21c5573245.pdf