eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-30
6
3
0
10.22111/ijfs.2009.2895
2895
Cove vol.6, no.3, October 2009
http://ijfs.usb.ac.ir/article_2895_46b90c9ca9a90b578f53385ed682e689.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-10
6
3
1
15
10.22111/ijfs.2009.197
197
مقاله پژوهشی
MINIMUM TIME SWING UP AND STABILIZATION OF
ROTARY INVERTED PENDULUM USING PULSE STEP
CONTROL
P Melba Mary
melbance 2k4@yahoo.co.in
1
N. S. Marimuthu
drnsmphd@yahoo.co.in
2
Anna University, Department of Electrical and Electronics Engineering, TamilNadu, India
Anna University, Department of Electrical and Electronics Engineering, TamilNadu, India
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.
http://ijfs.usb.ac.ir/article_197_db94d0141b1671df88589cda49c3502e.pdf
Fuzzy logic control (FLC)
Rotary inverted pendulum (RIP)
Swing up
control
PD control
Energy based switching control
Hybrid control and Minimum-time control
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-10
6
3
17
35
10.22111/ijfs.2009.198
198
مقاله پژوهشی
FUZZY LINEAR PROGRAMMING WITH GRADES OF
SATISFACTION IN CONSTRAINTS
Nikbakhsh Javadian
nijavadian@ustmb.ac.ir
1
Yashar Maali
y_maali@ustmb.ac.ir
2
Nezam Mahdavi-Amiri
nezamm@sharif.edu
3
Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_198_7226b83fe87443caa21599dac85680c6.pdf
Fuzzy linear programming
Fuzzy constraints
Multi-objective linear
programming
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-10
6
3
37
52
10.22111/ijfs.2009.199
199
مقاله پژوهشی
FUZZY TRANSPOSITION HYPERGROUPS
Goutam Chowdhury
chowdhurygoutam@yahoo.com
1
Department of Mathematics, Derozio Memorial College Rajarhat Road, Kolkata-700136, India
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.
http://ijfs.usb.ac.ir/article_199_4d70cb34aa0aa3c138225bb4f4a84eb9.pdf
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
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-10
6
3
53
63
10.22111/ijfs.2009.200
200
مقاله پژوهشی
Some types of $(in,ivq)$-interval-valued fuzzy
ideals of BCI algebras
Xueling. Ma
1
Jianming. Zhan
zhanjianming@hotmail.com
2
Young Bea Jun
skywine@gmail.com
3
Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province,445000, P. R. China
Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province,445000, P. R. China
Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea
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_da5a23de010339b6dc1ec0f1cf5a965c.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-10
6
3
65
71
10.22111/ijfs.2009.201
201
مقاله پژوهشی
EMBEDDING OF THE LATTICE OF IDEALS OF A RING INTO
ITS LATTICE OF FUZZY IDEALS
Iffat Jahan
ij.umar@yahoo.com
1
Department of Mathematics, Ramjas College, University Of Delhi, Delhi, India
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 $C_{s}^{r} (I(R))$.
http://ijfs.usb.ac.ir/article_201_bd470dfb2a74278bd4d77763cb364c23.pdf
Algebra
Ideal of a ring
Morphism
Embedding
Lattice
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-10
6
3
73
90
10.22111/ijfs.2009.202
202
مقاله پژوهشی
FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED
SETS IN I-TOPOLOGICAL VECTOR SPACES
Shen-Qing Jiang
jsq288@163.com
1
Cong-hua Yan
chyan@njnu.edu.cn
2
Institute of Math., school of Math. and Computer Sciences, Nanjing Normal University, Nanjing Jiangsu 210046, People0 s Republic of China
Institute of Math., school of Math. and Computer Sciences, Nanjing Normal University, Nanjing Jiangsu 210046, People0 s Republic of China
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.
http://ijfs.usb.ac.ir/article_202_64a93cd049b93f2b635f02575c9de600.pdf
I-topological vector space
Fuzzy bounded set
Totally fuzzy bounded
set
N-compact set
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-10-30
6
3
93
98
10.22111/ijfs.2009.2896
2896
Persian-translation vol.6, no.3, October 2009
http://ijfs.usb.ac.ir/article_2896_330c2cb514e8384fadcc4d21c5573245.pdf