ORIGINAL_ARTICLE
Cover Vol.3 No.2, October 2006
http://ijfs.usb.ac.ir/article_2914_aa82ef8226d37ef7b48868b10443ad5d.pdf
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0
10.22111/ijfs.2006.2914
ORIGINAL_ARTICLE
Fuzzy sets form A meta-system-theoretic point of view
http://ijfs.usb.ac.ir/article_451_685c7ee8c6f45c37d1aaa5acd967dfda.pdf
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1
19
10.22111/ijfs.2006.451
L-fuzzu sets
Enriched category
I/O system theory
Morphological filtering
Translation invariant system
Amir
Daneshgar
daneshgar@sharif.ir
true
1
AUTHOR
Amir
Hashemi
true
2
AUTHOR
ORIGINAL_ARTICLE
FUZZY OBSERVER DESIGN WITH n-SHIFT MULTIPLE KEY FOR CRYPTOGRAPHY BASED ON 3D HYPERCHAOTIC OSCILLATOR
A fuzzy observer based scheme for synchronizing two hyperchaoticoscillators via a scalar transmitted signal for cryptographic application isproposed. The Takagi-Sugeno fuzzy model exactly represents chaotic systems.Based on the general fuzzy model, the fuzzy observer of a chaotic system isdesigned on the basis of the n-shift multiple state based key encryption algorithm.The scalar transmitted signal is designed in such a way that the hyperchaoticcarrier masks the encrypted signal, which in turn hides the message signal.Simulation results show that the proposed scheme gives a better performanceeven when a small additive stochastic noise is present in the channel.
http://ijfs.usb.ac.ir/article_452_424075805b1976f552dabf7c5c35d372.pdf
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21
32
10.22111/ijfs.2006.452
V.
NATARAJAN
natraj@mitindia.edu
true
1
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA UNIVERSITY,
CHROMEPET, CHENNAL-600044, INDIA
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA UNIVERSITY,
CHROMEPET, CHENNAL-600044, INDIA
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA UNIVERSITY,
CHROMEPET, CHENNAL-600044, INDIA
LEAD_AUTHOR
P.
KANAGASABAPATHY
pks@mail.mitindia.edu
true
2
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA
UNIVERSITY, CHROMEPET, CHENNAL-600044, INDIA
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA
UNIVERSITY, CHROMEPET, CHENNAL-600044, INDIA
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA
UNIVERSITY, CHROMEPET, CHENNAL-600044, INDIA
AUTHOR
N.
SELVAGANESAN
n_selvag@rediffmail.com
true
3
DEPARTMENT OF EEE, PONDICHERRY ENGINEERING COLLEGE, PONDICHERRY-
605014, INDIA
DEPARTMENT OF EEE, PONDICHERRY ENGINEERING COLLEGE, PONDICHERRY-
605014, INDIA
DEPARTMENT OF EEE, PONDICHERRY ENGINEERING COLLEGE, PONDICHERRY-
605014, INDIA
AUTHOR
P.
NATARAJAN
true
4
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA UNIVERSITY,
CHROMEPET, CHENNAL-600044, INDIA
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA UNIVERSITY,
CHROMEPET, CHENNAL-600044, INDIA
DEPARTMENT OF INSTRUMENTATION ENGINEERING, MIT CAMPUS, ANNA UNIVERSITY,
CHROMEPET, CHENNAL-600044, INDIA
AUTHOR
[1] G. Álvarez and S. Li , Breaking network security based on synchronized chaos, Computer
1
Communications, Elsevier , 27 (2004), 1679-1681.
2
[2] G. Álvarez, S. Li, F. Montoya, M. Romera and G. Pastor, Breaking projective chaos
3
synchronization secure communication using filtering and generalized synchronization,
4
Chaos, Solitons & Fractuals, Elsevier, 24 (2005), 775-783.
5
[3] G. Álvarez, F. Montoya, M. Romera and G. Pastor, Breaking two secure communication
6
systems based on chaotic masking, IEEE Transactions on Circuits and Systems-II,
7
51 (2004), 505-506.
8
[4] T.-S. Chiang and P. Liu, Fuzzy model-based discrete-time Chiang type chaotic cryptosystem,
9
IEEE Int. Fuzzy Systems Conference, 2001.
10
[5] G. Grassi and S. Mascolo, Observer design for cryptography based on hyperchaotic
11
oscillators, Electronics Letters, 34 (1998), 1844 -1846.
12
[6] K. Halle, C. W. Wu, M. Itoh and L. O. Chua, Spread spectrum communication through
13
modulation of chaos, Int. Journal of Bifurcations and Chaos, 3 (1992), 469-477.
14
[7] K.-Y. Lian, C.-S. Chiu, T.-S. Chiang, and P. Liu, Secure communications of chaotic systems
15
with robust performance via fuzzy observer-based design, IEEE Transactions on Fuzzy
16
Systems, 9 (2001), 212-220.
17
[8] K.-Y. Lian, P. Liu and C.-S. Chiu, Fuzzy model-based approach to chaotic encryption
18
using synchronization, Int. Journal of Bifurcation and Chaos, 13 (2003), 215-225.
19
[9] K.-M. Ma, Observer design for a class of fuzzy systems, Proceedings of First International
20
Conference on Machine Learning and Cybernetics, Beijing, (2002), 46-49.
21
[10] K. M. Short, Steps towards unmasking secure communication, Int. Journal of Bifurcation
22
and Chaos, 4 (1994), 959-977.
23
[11] K. M. Short, Unmasking a modulated chaotic communications scheme, Int. Journal of
24
Bifurcation and Chaos, 6 (1996), 367-375.
25
[12] A. Tamasevicius, G. Mykolaitis, A. Cenys and A. Namajunas, Synchronisation of 4D
26
hyperchaotic oscillators, Electronics Letters, 32 (1996), 1536-1538.
27
[13] A. Tamasevicius, A. Namajunas and A. Cenys, Simple 4D chaotic oscillator, Electronics
28
Letters, 32 (1996), 957-958.
29
[14] T. Yang, C. Wah Wu and L. O. Chua, Cryptography based on chaotic systems, IEEE
30
Transactions on Circuits and Systems-I, 44 (1997), 469-472.
31
ORIGINAL_ARTICLE
DIRECT ADAPTIVE FUZZY PI SLIDING MODE CONTROL OF SYSTEMS
WITH UNKNOWN BUT BOUNDED DISTURBANCES
An asymptotically stable direct adaptive fuzzy PI sliding modecontroller is proposed for a class of nonlinear uncertain systems. In contrast toother existing approaches of handling disturbances, the proposed approachdoes not require this bound to be known, only requiring that it exists.Moreover, a PI control structure is used to attenuate chattering. The approachis applied to stabilize an open-loop unstable nonlinear system as well asthe Duffing forced-oscillation chaotic nonlinear system amid significantdisturbances. Analysis of simulations reveals the effectiveness of the proposedmethod in terms of a significant reduction in chattering while maintainingasymptotic convergence.
http://ijfs.usb.ac.ir/article_453_298e3d12a051cfd3b73c004c5792a918.pdf
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51
10.22111/ijfs.2006.453
Nonlinear control
Fuzzy Logic
Sliding mode control
Uncertainty
External
disturbances
Duffing forced-oscillation
Adaptive PI control
MOHAMMAD-REZA
AKBARZADEH-TOTONCHI
akbarzadeh@ieee.org
true
1
DEPARTMENT OF ELECTRICAL ENGINEERING, COLLEGE
OF ENGINEERING, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, COLLEGE
OF ENGINEERING, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, COLLEGE
OF ENGINEERING, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
LEAD_AUTHOR
REZA
SHAHNAZI
shahnazi@ieee.org
true
2
DEPARTMENT OF ELECTRICAL ENGINEERING, COLLEGE OF ENGINEERING, FERDOWSI
UNIVERSITY OF MASHHAD, MASHHAD, IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, COLLEGE OF ENGINEERING, FERDOWSI
UNIVERSITY OF MASHHAD, MASHHAD, IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, COLLEGE OF ENGINEERING, FERDOWSI
UNIVERSITY OF MASHHAD, MASHHAD, IRAN
AUTHOR
[1] M.-R. Akbarzadeh-T. and R. Shahnazi, Direct adaptive fuzzy PI sliding mode control for a
1
class of uncertain nonlinear systems, In Proceeding of IEEE International Conference on
2
Systems, Man and Cybernetics, (2005), 2566-2571.
3
[2] K. J. Astrom and B. Wittenmark, Adaptive control, second Edition, Addison-Wesley Pub
4
Co, Newyork, December (1994).
5
[3] Y. Byungkook and H. Woonchul, Adaptive fuzzy sliding mode control of nonlinear systems,
6
IEEE Transaction Fuzzy systems, 6 (2) (1998).
7
[4] Z. M. Chen, J. G. Zhang, Z. C. Zhang and J. C. Zeng, Adaptive fuzzy sliding mode control
8
for uncertain nonlinear systems, In Proceeding of the Second International Conference
9
on Machine Learning and Cybernetics, Xian, 2-5 November (2003).
10
[5] Y. Guo and P. Y. Woo, Adaptive fuzzy sliding mode control for robotic manipulators, In
11
Proceeding of 42nd Conference on Decision and Control, Maui, Hawaii USA,
12
December (2003).
13
[6] H.G. Han and C. Y. Su, Further results on adaptive control of a class of nonlinear systems
14
with fuzzy logic, In Proceedings of IEEE Conference on Fuzzy Systems, Seoul, Korea,
15
(1999), 1309-1314.
16
[7] H. F. Ho, Y. K. Wong and A. B. Rad, Adaptive fuzzy sliding mode control design: Lyapunov
17
approach, In Proceeding of 5th Asian Control Conference, 3 (2004), 1502- 1507.
18
[8] H. K. Khalil. Nonlinear systems, Prentice-Hall Inc., second edition, (1996).
19
[9] Y. K. Kim and G. J. Jeon, Error reduction of sliding mode control using sigmoid-type
20
nonlinear interpolation in the boundary layer, International Journal of Control, and
21
Systems, 2 (4) (2004), 523-529.
22
[10] C. C. Lee, Fuzzy logic in control systems: fuzzy logic controller, part I and part II, IEEE
23
Transactions on Systems, Man, and Cybernetics, 20 (1990), 404-435.
24
[11] K. S. Narenda and A. M. Annaswamy, Stable adaptive systems, Prentice-Hall Inc., (1989).
25
[12] R. Shahnazi and M.-R. Akbarzadeh-T., Robust PI adaptive fuzzy control for a class of
26
uncertain nonlinear systems, In Proceeding of IEEE International Conference on
27
Systems, Man and Cybernetics, (2005), 2548-2553.
28
[13] J. J. Slotine and W. Li, Applied nonlinear control, Prentice Hall, Inc.: Englewood Cliffs,
29
New Jersy, (1991).
30
[14] C. Y. Su and Y. Stepanenko, Adaptive control of a class of nonlinear systems with fuzzy
31
logic, IEEE Transactions on Fuzzy Systems, 2 (2) (1994), 285-294.
32
[15] C. W. Tao, M.L. Chan and T. T. Lee, Adaptive fuzzy sliding mode controller for linear
33
systems with mismatched time-varying uncertainties, IEEE Transaction on Systems Man
34
and Cybernetics, Part B: Cybernetics, 33 (2)(2003).
35
[16] V. I. Utkin, Sliding modes and their application in variable structure systems, Moscow,
36
Russia: Mir, (1978).
37
[17] J. Wang, S. S. Get and T. H. Lee, Adaptive fuzzy sliding mode control of a class of nonlinear
38
systems, In Proceedings of the 3rd Asian Control Conference, Shanghai, July 4-7,
39
[18] L. X. Wang, A course in fuzzy systems and control, Prentice Hall., New Jersy, August
40
[19] L. X. Wang, Adaptive fuzzy systems and control: design and stability analysis, Prentice Hall,
41
Englewood Cliffs, NJ., (1994).
42
[20] L. X. Wang, Stable adaptive fuzzy control of nonlinear systems, IEEE Transaction on
43
Fuzzy systems, 1 (2) (1993).
44
ORIGINAL_ARTICLE
SEMI $\theta$-COMPACTNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES
The purpose of this paper is to construct the concept of semi$\theta$-compactness in intuitionistic fuzzy topological spaces. We give some characterizationsof semi $\theta$-compactness and locally semi -compactness. Also, wecompare these concepts with some other types of compactness in intuitionisticfuzzy topological spaces.
http://ijfs.usb.ac.ir/article_462_d51233b4f1c9889edb5f6eaf56e94c63.pdf
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53
62
10.22111/ijfs.2006.462
I. M.
Hanafy
ihanafy@hotmail.com
true
1
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
AUTHOR
A. M.
Abd El-Aziz
true
2
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
AUTHOR
T. M.
Salman
tarek00−salman@hotmail.com,tarek69salman@yahoo.com
true
3
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
Department of Mathematics,
Al-Arish Faculty of Education, Al-Arish, Egypt.
LEAD_AUTHOR
[1] K. Atanassov, Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, (1983)(in Bulgarian).
1
[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96.
2
[3] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems,
3
88(1997), 81-89.
4
[4] D. Coker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, Journal
5
of Fuzzy Math., 4(2)(1996), 749-764.
6
[5] D. Coker and A. H. Es, On fuzzy compactness in intuitionistic fuzzy topological spaces,
7
Journal of Fuzzy Math., 3(4) (1995), 899-909.
8
[6] D. Coker and M. Demirci, On intuitionistic fuzzy points, NIFS, 1(1995), 79-84.
9
[7] H. Gurcay, D. Coker and A. H. Es, On fuzzy continuity in intuitionistic fuzzy topological
10
spaces, Journal of Fuzzy Math., 5(2) (1997), 365-378.
11
[8] I. M. Hanafy, Completely continuous functions in intuitionistic fuzzy topological spaces,
12
Czechoslovak Math. Journal, 53(4)(2003), 793-803.
13
[9] I. M. Hanafy, A. M. Abd El Aziz and T. M. Salman, Intuitionistic fuzzy − closure operator,
14
to appear in Bulletin of the Venezuelan Mathematical Society.
15
[10] I. M. Hanafy, A. M. Abd El Aziz and T. M. Salman, Semi − continuity in intuitionistic
16
fuzzy topological spaces, Bull. Malays. Math. Sci. Soc., (2) 29(1) (2006), 1-10.
17
[11] L. A. Zadeh, Fuzzy sets, Infor. and Control, 9(1965), 338-353.
18
ORIGINAL_ARTICLE
INTERVAL-VALUED FUZZY B-ALGEBRAS
In this note the notion of interval-valued fuzzy B-algebras (briefly,i-v fuzzy B-algebras), the level and strong level B-subalgebra is introduced.Then we state and prove some theorems which determine the relationshipbetween these notions and B-subalgebras. The images and inverse images ofi-v fuzzy B-subalgebras are defined, and how the homomorphic images andinverse images of i-v fuzzy B-subalgebra becomes i-v fuzzy B-algebras arestudied.
http://ijfs.usb.ac.ir/article_467_8d60975e2e2d849868fe833f3a6244d5.pdf
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73
10.22111/ijfs.2006.467
Arsham
Borumand Saeid
arsham@iauk.ac.ir
true
1
Dept. of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran
Dept. of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran
Dept. of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran
AUTHOR
[1] R. Biswas, Rosenfeld’s fuzzy subgroups with interval valued membership function, Fuzzy Sets
1
and Systems, 63 , 1(1994), 87-90.
2
[2] A. Borumand Saeid, Fuzzy topological B-algebras, (Submitted ).
3
[3] S. M. Hong, Y. B. Jun, S. J. Kim and G. I. Kim, Fuzzy BCI-subalgebras with interval-valued
4
membership functions, IJMMS., 25, 2 (2001), 135-143.
5
[4] Y. Imai and K. Iseki, On axiom systems of propositional calculi, XIV Proc. Japan Academy,
6
42 (1966), 19-22.
7
[5] Y. B. Jun, E. H. Roh, Chinju and H. S. Kim, On Fuzzy B-algebras, Czechoslovak Math.
8
Journal, 52 (2002), 375-384.
9
[6] J. Meng and Y.B. Jun, BCK-algebras, Kyung Moonsa, Seoul, Korea, (1994).
10
[7] J. Neggers and H. S. Kim, On B-algebras, Math. Vensik, 54 (2002), 21-29.
11
[8] , On d-algebras, Math. Slovaca, 49 (1999), 19-26.
12
[9] A. Rosenfeld, Fuzzy Groups, J. Math. Anal. Appl., 35 (1971), 512-517.
13
[10] L. A. Zadeh, Fuzzy Sets, Inform. Control, 8 (1965), 338-353.
14
[11] , The concept of a linguistic variable and its application to approximate reasoning. I,
15
Information Sci., 8 (1975), 199-249.
16
ORIGINAL_ARTICLE
FUZZY SUBGROUPS AND CERTAIN EQUIVALENCE RELATIONS
In this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group G and give four equivalent conditions each ofwhich characterizes this relation. We demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. Moreover, we study the behavior of these equivalence classes under theaction of a group homomorphism.
http://ijfs.usb.ac.ir/article_469_c2215f9b01a891631d13665680641fbf.pdf
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91
10.22111/ijfs.2006.469
Fuzzy subgroup
Equivalence relation
Lattice
$alpha$– cut
Strong $alpha$– cut
Homomorphism
APARNA
JAIN
jainaparna@yahoo.com
true
1
DEPARTMENT OF MATHEMATICS, SHIVAJI COLLEGE, UNIVERSITY OF DELHI, NEW DELHI,
INDIA
DEPARTMENT OF MATHEMATICS, SHIVAJI COLLEGE, UNIVERSITY OF DELHI, NEW DELHI,
INDIA
DEPARTMENT OF MATHEMATICS, SHIVAJI COLLEGE, UNIVERSITY OF DELHI, NEW DELHI,
INDIA
AUTHOR
[1] N. Ajmal, Homomorphism of fuzzy groups, correspondence theorem and fuzzy quotient
1
groups, Fuzzy Sets and Systems, 61 (1994), 329-339.
2
[2] N. Ajmal, Fuzzy group theory : A comparison of different notions of product of fuzzy sets,
3
Fuzzy Sets and Systems, 110 (2000), 437-446.
4
[3] N. Ajmal and K. V. Thomas, The lattices of fuzzy subgroups and fuzzy normal subgroups,
5
Inform. Sci., 76 (1994), 1-11.
6
[4] N. Ajmal, The lattice of fuzzy normal subgroups is modular, Inform. Sci., 83 (1995), 199-
7
[5] N. Ajmal and K. V. Thomas, The lattices of fuzzy ideals of a ring, Fuzzy Sets and
8
Systems, 74 (1995), 371-379.
9
[6] P. S. Das, Fuzzy groups and level subgroups, Journal of Math. Anal. Appl., 84 (1981),
10
[7] C. Degang, J. Jiashang, W. Congxin and E. C. C. Tsang, Some notes on equivalent fuzzy
11
sets and fuzzy subgroups, Fuzzy Sets and Systems, 152 (2005), 403-409.
12
[8] V. N. Dixit, R. Kumar and N. Ajmal, Level subgroups and union of fuzzy subgroups, Fuzzy
13
Sets and Systems, 37 (1990), 359-371.
14
[9] A. Jain and N. Ajmal, A new approach to the theory of fuzzy groups, Journal of Fuzzy
15
Math., 12 (2) (2004), 341-355.
16
[10] A. Jain, Tom Head’s join structure of fuzzy subgroups, Fuzzy Sets and Systems, 125 (2002),
17
[11] J. G. Kim and S. -J. Cho, Structure of a lattice of fuzzy subgroups, Fuzzy Sets and Systems,
18
89 (1997), 263-266.
19
[12] M. Mashinchi and M. Mukaidono, A classification of fuzzy subgroups, Ninth Fuzzy
20
System Symposium, Sapporo, Japan, (1992), 649-652.
21
[13] M. Mashinchi and M. Mukaidono, On fuzzy subgroups classification, Research report of
22
Meiji University, Japan, 9 (65) (1993), 31-36.
23
[14] M. Mashinchi and M. M. Zahedi, A counter example of P. S. Das’s paper, Journal of
24
Math. Anal. & Appl., 153 (2) (1990), 591-592.
25
[15] J. N. Mordeson, Lecture notes in fuzzy mathematics and computer science, L-Subspaces
26
and L-Subfields, Creighton University, Omaha, Nebraska 68178 USA, 1996.
27
[16] V. Murali and B. B. Makamba, On an equivalence of fuzzy subgroups I, Fuzzy Sets and
28
Systems, 123 (2001), 259-264.
29
[17] V. Murali and B. B. Makamba, On an equivalence of fuzzy subgroups II, Fuzzy Sets and
30
Systems, 136 (2003), 93-104.
31
[18] V. Murali and B. B. Makamba, On an equivalence of fuzzy subgroups III, The International
32
Journal of Math. And Math. Sciences, 36 (2003), 2303-2313.
33
[19] S. Ray, Isomorphic fuzzy groups, Fuzzy Sets and Systems, 50 (1992), 201-207.
34
[20] A. Rosenfeld, Fuzzy groups, Journal of Math. Anal. Appl., 35 (1971), 512-517.
35
[21] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.
36
ORIGINAL_ARTICLE
Persian-translation Vol.3 No.2, October 2006
http://ijfs.usb.ac.ir/article_2915_641885b9def2867e23fa22368603d283.pdf
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100
10.22111/ijfs.2006.2915