2005
2
1
1
74
cover Vol. 2 No. 1
2
2
1

0
0
SIMULATING CONTINUOUS FUZZY SYSTEMS: I
SIMULATING CONTINUOUS FUZZY SYSTEMS: I
2
2
In previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. Then we extendedthis research to the simulation of continuous fuzzy systems models. In this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. Consider a crisp continuous system whose evolution depends ondifferential equations. Such a system contains a number of parameters thatmust be estimated. Usually point estimates are computed and used in themodel. However these point estimates typically have uncertainty associatedwith them. We propose to incorporate uncertainty by using fuzzy numbers asestimates of these unknown parameters. Fuzzy parameters convert the crispsystem into a fuzzy system. Trajectories describing the behavior of the systembecome fuzzy curves. We will employ crisp continuous simulation to estimatethese fuzzy trajectories. Three examples are discussed.
1
In previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. Then we extendedthis research to the simulation of continuous fuzzy systems models. In this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. Consider a crisp continuous system whose evolution depends ondifferential equations. Such a system contains a number of parameters thatmust be estimated. Usually point estimates are computed and used in themodel. However these point estimates typically have uncertainty associatedwith them. We propose to incorporate uncertainty by using fuzzy numbers asestimates of these unknown parameters. Fuzzy parameters convert the crispsystem into a fuzzy system. Trajectories describing the behavior of the systembecome fuzzy curves. We will employ crisp continuous simulation to estimatethese fuzzy trajectories. Three examples are discussed.
1
17
J. J.
Buckley
J. J.
Buckley
Department of Mathematics, University of Alabama at Birmingham,
Birmingham, Alabama, 35294, USA
Department of Mathematics, University of
United States
buckley@math.uab.edu
K. D.
Reilly
K. D.
Reilly
Department of Computer and Information Sciences, University
of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
Department of Computer and Information Sciences,
United States
jowersl,reilly@cis.uab.edu
L. J.
Jowers
L. J.
Jowers
Department of Computer and Information Sciences, University
of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
Department of Computer and Information Sciences,
United States
Fuzzy systems
Fuzzy differential equations
Simulation
Uncertainty
[[1] J. J. Buckley, Fuzzy statistics, SpringerVerlag, Heidelberg, Germany, (2004).##[2] J. J. Buckley, Fuzzy probabilities and fuzzy sets for web planning, SpringerVerlag, Heidelberg,##Germany, (2004).##[3] J. J. Buckley, Simulating Fuzzy Systems, SpringerVerlag, Heidelberg, Germany, To appear.##[4] J. J. Buckley, Fuzzy systems, Soft Computing, To appear.##[5] J. J. Buckley and T. Feuring, Fuzzy initial value problem for nth order linear differential##equations, Fuzzy Sets and Systems, 121(2001) 247255.##[6] J. J. Buckley, E. Eslami and T. Feuring, Fuzzy mathematics in economics and engineering,##SpringerVerlag, Heidelberg, Germany, (2002). ##[7] J. J. Buckley, T. Feuring and Y. Hayashi, Linear systems of first order ordinary differential##equations: Fuzzy initial conditions, Soft Computing, 6(2002) 415421.##[8] J. J. Buckley, K. Reilly and X. Zheng, Simulating fuzzy systems I, Applied Research in##Uncertainty Modelling and Analysis, Eds. N.O.AttohOkine, B.Ayyub, Kluwer, (2004), To##[9] J. J. Buckley, K. Reilly and X. Zheng, Simulating fuzzy systems II, Applied Research in##Uncertainty Modelling and Analysis, Eds. N.O.AttohOkine, B.Ayyub, Kluwer, (2004), To##[10] Maple 9, Waterloo Maple Inc., Waterloo, Canada.##[11] M. Olinick, An introduction to mathematical models in the social and life sciences, Addison##Wesley, Reading, MA, (1978).##[12] scilabsoft.inria.fr##[13] solutions.iienet.org##[14] M. R. Spiegel, Applied differential equations, Third Edition, PrenticeHall, Englewood Cliffs,##NJ, (1981).##[15] H. A. Taha, Operations research, Fifth Edition, Macmillan, N.Y., (1992).##[16] H. M. Wagner, Principles of operations research, Second Edition, Prentice Hall, Englewood##Cliffs, N.J.. (1975).##[17] www.mathworks.com##[18] D. G. Zill, A First course in differential equations, Brooks/Cole, Pacific Grove, CA, (1997).tt##]
ON PROJECTIVE L MODULES
ON PROJECTIVE L MODULES
2
2
The concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. The notion of free fuzzy modules was introducedby Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameriintroduced the concept of projective and injective Lmodules. In this paper we give analternate definition for projective Lmodules. We prove that every free Lmodule is aprojective Lmodule. Also we prove that if μ∈L(P) is a projective Lmodule, and if0→η f→ ν g→ μ →0 is a short exact sequence of Lmodules then η⊕ μ >ν.Further it is proved that if μ∈L(P) is a projective Lmodule then μ is a fuzzy direct summandof a free Lmodule.
1
The concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. The notion of free fuzzy modules was introducedby Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameriintroduced the concept of projective and injective Lmodules. In this paper we give analternate definition for projective Lmodules. We prove that every free Lmodule is aprojective Lmodule. Also we prove that if μ∈L(P) is a projective Lmodule, and if0→η f→ ν g→ μ →0 is a short exact sequence of Lmodules then η⊕ μ >ν.Further it is proved that if μ∈L(P) is a projective Lmodule then μ is a fuzzy direct summandof a free Lmodule.
19
28
PAUL
ISAAC
PAUL
ISAAC
DEPARTMENT OF MATHEMATICS, BHARATA MATA COLLEGE, THRIKKAKARA KOCHI 
682 021, KERALA, INDIA
DEPARTMENT OF MATHEMATICS, BHARATA MATA COLLEGE,
India
pi@cusat.ac.in
The concepts of free modules
projective modules
[[1] G. Birkhoff, Lattice theory, Ameri. Math. Soci. Coll. Pub (1967).##[2] K. R. Goodearl and R. B. Warfield, Jr., An introduction to noncommutative Noetherian rings,##Cambridge University Press (1989).##[3] T. W. Hungerford, Algebra, SpringerVerlag (1974).##[4] P. Isaac, On Lmodules, Proceedings of the National Conference on Mathematical Modeling, March##1416, (2002); Baselius College, Kottayam, Kerala, India, 123134.##[5] P. Isaac, Simple and Semisimple Lmodules (to appear in The Journal of Fuzzy Math.).##[6] P. Isaac, Exact sequences of Lmodules (communicated).##[7] J. N. Mordeson and D. S. Malik, Fuzzy commutative algebra, World Scientific (1998).##[8] G. C. Muganda, Free fuzzy modules and their bases, Inform. Sci.,72 (1993) 6582.##[9] F. Pan, Fuzzy finitely generated modules, Fuzzy Sets and Systems, 21 (1987) 105113.##[10] A. Rosenfeld, Fuzzy groups, Journal Math. Anal. Appl. 35 (1971) 512517.##[11] L. A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965) 338353.##[12] M. M. Zahedi and A. Ameri, On fuzzy projective and injective modules, Journal Fuzzy. Math.3, No.1##(1995) 181190.##[13] M. M. Zahedi, Some results on Lfuzzy modules, Fuzzy Sets and Systems, 55 (1993) 355361.##]
P2CONNECTEDNESS IN LTOPOLOGICAL SPACES
P2CONNECTEDNESS IN LTOPOLOGICAL SPACES
2
2
In this paper, a certain new connectedness of Lfuzzy subsets inLtopological spaces is introduced and studied by means of preclosed sets. Itpreserves some fundamental properties of connected set in general topology.Especially the famous K. Fan’s Theorem holds.
1
In this paper, a certain new connectedness of Lfuzzy subsets inLtopological spaces is introduced and studied by means of preclosed sets. Itpreserves some fundamental properties of connected set in general topology.Especially the famous K. Fan’s Theorem holds.
29
36
ShuPing
Li
ShuPing
Li
Department of Computer Science and Technology, Mudanjiang Teachers
College, Mudanjiang, Heilongjiang 157012, P.R. China
Department of Computer Science and Technology,
China
lishuping46@hotmail.com or lishuping46@126.com
Zheng
Fang
Zheng
Fang
Department of Computer Science and Technology, Daqing Teachers
College, Daqing, Heilongjiang 157012, P.R. China
Department of Computer Science and Technology,
China
fangzhengdq1@163.com
Jie
Zhao
Jie
Zhao
Department of Computer Science and Technology, Mudanjiang Teachers
College, Mudanjiang, Heilongjiang 157012, P.R. China
Department of Computer Science and Technology,
China
Ltopological space
Preclosed set
Pconnected set
P2connected set
[[1] D. M. Ali, Some other types of fuzzy connectedness, Fuzzy Sets and Systems, 46(1992) 5561.##[2] D. M. Ali and A.K. Srivastava,On fuzzy connectedness, Fuzzy Sets and Systems, 28(1988)##[3] S.Z. Bai, Strong connectedness in Ltopological spaces, J. Fuzzy Math., 3(1995) 751759.##[4] S.Z. Bai, PConnectedness in Ltopological spaces, Soochow Journal of Mathematics,##29(2003) 3542.##[5] G. Balasubramanian and P. Sundaram, On some generalizations of fuzzy continuous functions,##Fuzzy Sets and Systems, 86(1997) 93100.##[6] G. Gierz, et al., A compendium of continuous lattices, Springer Verlag, Berlin, (1980).##[7] P. P. Pu and Y. M. Liu, Fuzzy topology I, Neighborhood structure of a fuzzy point and##MooreSmith convergence, J. Math. Anal. Appl., 76(1980) 571599.##[8] I. L. Reilly and M. K. Vamanmurthy, On continuity in topological spaces, Acta Math.##Hungar. 45(1985) 2732.##[9] A. S. B. Shahna, On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and##Systems, 44(1991) 303308.##[10] F.G. Shi and C.Y. Zheng, Connectivity in Fuzzy Topological Molecular Lattices, Fuzzy Sets##and Systems, 29(1989) 363370.##[11] M. K. Singal and N. Prakash, Fuzzy preopen sets and fuzzy preseparation axioms, Fuzzy Sets##and Systems, 44(1991) 273281.##[12] N. Turanli and D. Coker, On some types of fuzzy connectedness in fuzzy topological spaces,##Fuzzy Sets and Systems, 60(1993) 97102.##[13] G.J. Wang, Theory of topological molecular lattices, Fuzzy Sets and Systems, 47(1992) 351##[14] G.J. Wang, Lfuzzy topological spaces. Shaanxi Normal Univisity Press, (1988).##[15] G.M. Wang and F.G. Shi,Local connectedness of Lfuzzy topological spaces, Fuzzy Systems##and Mathematics, 10(4)(1996), 5155.##[16] D.S. Zhao and G. J. Wang, A new kind of fuzzy connectivity, Fuzzy Mathematics, 4(1984)##[17] C. Y. Zheng, Connectedness of Fuzzy topological spaces, Fuzzy Mathematics, 2(1982) 5966.##]
FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
2
2
In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.
1
In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.
37
47
Reza
Ameri
Reza
Ameri
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of
Iran
Fuzzy hypervector spaces
convex fuzzy sets
balanced fuzzy sets
valued fields
[[1] R. Ameri, Fuzzy (Co)Norm Hypervector Spaces, Proceedings of the 8th International Congress##in Algebraic Hyperstructures and Applications, Samotraki, Greece, September 19##(2002)7179.##[2] R. Ameri and M. M. Zahedi, Hypergroup and Join Spaces induced by a fuzzy subset, PU.M.A##8 (1997) 155168.##[3] R. Ameri and M. M. Zahedi, Fuzzy Subhypermodules over fuzzy hyperrings, Sixth International##Congress on AHA, Democritus Univ. (1996) 1–14.##[4] R. Ameri, Fuzzy (Transposition) Hypergroups, Italian Journal of Pure and applied mathematics##(to appear).##[5] R. Ameri and M. M. Zahedi, Hyperalgebraic System, Italian Journal of Pure and Applied##Mathematics, 6 (1999) 21–32.##[6] R. Ameri, On Fuzzy Inner Product of Hyperspaces, Proceedings of the Thired Seminar on##fuzzy sets and Applications, Jun, 1920, (2002) 913.##[7] D. S. Comer, Polygroups Derived from Cogroups, Journal of Algebra, 89 (1984) 397405.##[8] P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore 1979. ##[9] P. Corsini and V. Leoreanu, Applications of Hyperstructure Theory, Kluwer Academic Publications,##[10] P. Corsini and V. Leoreanu, Fuzzy sets and Join Spaces Associated with rough sets, Rend.##Circ. Mat., Palermo, 51 (2002) 527536.##[11] P. Corsini and I. Tofan, On Fuzzy Hypergroups, PU.M.A., 8 (1997) 2937.##[12] B. Davvaz, Fuzzy Hv submodules, Fuzzy Sets and Systems, 117 (2001) 477484.##[13] B. Davvaz,Fuzzy Hvgroups, Fuzzy Sets and Systems, 101 (1999) 191195.##[14] P.S. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl., 84 (1981) 264269.##[15] A. K. Katsaras and D.B. Liu,Fuzzy Vector Spaces and Fuzzy Topological Spaces, J. Math.##Anal. Appl. 58 (1977) 135146.##[16] Ath. Kehagias, Lfuzzy Join and Meet Hyperoperations and the Associated Lfuzzy Hyperalgebras,##Rend. Circ. Mat., Palermo, 51 (2002) 503526.##[17] Ath. Kehagias, An Example of Lfuzzy Join Space, Rend. Circ. Mat., Palermo, 52 (2003)##[18] V. Leoreanu, Direct Limit and inverse limit of Join Spaces Associated with Fuzzy Sets, Pure##Math. Appl. 11 (2000) 509512.##[19] R. Lowen, Convex Fuzzy Sets, FSS, 3 (1980) 291310.##[20] F. Marty, Sur une generalization de la notion de groupe, 8iem congres des Mathematiciens##Scandinaves, Stockholm (1934) 4549.##[21] S. Nanda, Fuzzy Linear Spaces Over valued Fields, FSS, 42 (1991) 351354.##[22] S. Nanda, Fuzzy Fields and Fuzzy Linear Spaces, Fuzzy Sets and Systems, 19 (1986) 8994.##[23] A. Rosenfeld, Fuzzy groups,J. Math. Anal. Appl. 35 (1971) 512517.##[24] K. Serafimindis and Ath. Kehagias, The Lfuzzy Corsini Join Hyperoperation, Italian Journal##of Pure and applied mathematics, 12 (2002) 8390.##[25] M. S. Tallini, Hypervector Spaces, Proceedings of Fourth Int. Congress in Algebraic Hyperstructures##and Applications, Xanthi, Greece, world scientific (1990) 167174.##[26] M. S. Tallini, Hypervector Spaces and Norm in such Spaces, Algebraic Hyperstructures and##Applications, Hardonic Press (1994) 199206.##[27] Lu Tu and WenXiang Gu,Fuzzy algebraic system (I): Direct products, Fuzzy Sets and Systems,##61 (1994) 313327.##[28] T. Vougiuklis, Hyperstructures and their representations, Hardonic Press, Inc. 1994.##[29] H. S. Wall, Hypergroups, Amer.J Math. (1937) 7798.##[30] Gu Wenxiang, Lu Tu, Fuzzy Linear Spaces, Fuzzy Sets and Systems, 94 (1992) 377380.##[31] L. A. Zadeh, Fuzzy Sets, Inform. and Control, 8 (1965) 338353.##[32] M. M. Zahedi, M. Bolurian and A. Hasankhani, On polygroups and Fuzzy subpolygroups,##Journal of Fuzzy Mathematics, 3 (1995) 115.##]
CATEGORY OF (POM)LFUZZY GRAPHS AND HYPERGRAPHS
CATEGORY OF (POM)LFUZZY GRAPHS AND HYPERGRAPHS
2
2
In this note by considering a complete lattice L, we define thenotion of an LFuzzy hyperrelation on a given nonempty set X. Then wedefine the concepts of (POM)LFuzzy graph, hypergraph and subhypergroupand obtain some related results. In particular we construct the categories ofthe above mentioned notions, and give a (full and faithful) functor form thecategory of (POM)LFuzzy subhypergroups ((POM)LFuzzy graphs) into thecategory of (POM)LFuzzy hypergraphs. Also we show that for each finiteobjects in the category of (POM)LFuzzy graphs, the coproduct exists, andunder a suitable condition the product also exists.
1
In this note by considering a complete lattice L, we define thenotion of an LFuzzy hyperrelation on a given nonempty set X. Then wedefine the concepts of (POM)LFuzzy graph, hypergraph and subhypergroupand obtain some related results. In particular we construct the categories ofthe above mentioned notions, and give a (full and faithful) functor form thecategory of (POM)LFuzzy subhypergroups ((POM)LFuzzy graphs) into thecategory of (POM)LFuzzy hypergraphs. Also we show that for each finiteobjects in the category of (POM)LFuzzy graphs, the coproduct exists, andunder a suitable condition the product also exists.
49
63
M. M.
Zahedi
M. M.
Zahedi
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
Department of Mathematics, Shahid Bahonar
Iran
zahedi mm@mail.uk.ac.ir
M. R.
KhorashadiZadeh
M. R.
KhorashadiZadeh
Department of Mathematics, Imam Ali Military University,
Tehran, Iran
Department of Mathematics, Imam Ali Military
Iran
mr khorashadi@yahoo.com
Fuzzy graph
Fuzzy hypergraph
Fuzzy subhypergroup
Partially ordered monoid
[[1] C. Berge, Graphs and Hypergraphs, North Holland, 1979.##[2] G. Birkhoff, Lattice Theory, American Math. Soc., Providence, Rhode Island, USA, Third##Edition, 1973.##[3] S. C. Cheng, J. N. Mordeson and Y. Yandong, Elements of Lalgebras, Lecture Notes in##Fuzzy Mathematics and Computer Sciences, Creighton University, USA, 1994.##[4] J. A. Goguen, Categories of Vsets, Bull. Am. Math. Soc., (1975) 622624.##[5] U. Hohle and E. P. Klement (Eds), Nonclassical Logics and their Applications to Fuzzy##Subsets, Kluwer, 1995##[6] S. R. LopezPermouth and D. S. Malik, On Catgegories of Fuzzy Modules, Information Sciences,##52(1990) 211220.##[7] F. Marty, Sur une generalization de la notion de groupe, 8iem congress Math. Scandinaves,##Stockholm, (1934) 4549.##[8] M. Mashinchi and M. Mukaidono, Generalized fuzzy quotient subgroups, Fuzzy Sets and##Systems, 74(1995) 245257.##[9] A. Rosenfeld, Fuzzy graphs In: L.A. Zadeh, K.S. Fu and M. Shimura, Eds, Fuzzy Sets and##Their Applications, Academic press, New York, (1975) 7795.##[10] H. Roy and Jr. Goetschel, Introduction to fuzzy hypergraphs and Hebbian Structures, Fuzzy##Sets and Systems, 76(1995) 113130.##[11] M. M. Zahedi and M. R. KhorashadiZadeh, Some Categoric Connections Between Fuzzy##Hypergraphs, Subhypergroups, Graphs, Subgroups and Subsets, Journal of Discrete Mathematical##Sciences and Cryptography, Vol. 4, No. 1(2001) 1732.##]
POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS
POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS
2
2
This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25][28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.
1
This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25][28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.
65
74
AMIR ABOLFAZL
SURATGAR
AMIR ABOLFAZL
SURATGAR
DEPARTMENT OF ELECTRICAL ENGINEERING, ARAK UNIVERSITY, ARAK,
IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, ARAK
Iran
a_a_suratgar@yahoo.com
SYED KAMALEDIN
NIKRAVESH
SYED KAMALEDIN
NIKRAVESH
DEPARTMENT OF ELECTRICAL ENGINEERING, AMIRKABIR UNIVERSITY
OF TECHNOLOGY, TEHRAN, IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, AMIRKABIR
Iran
nikravesh@aut.ac.ir
Fuzzy modeling
Stability analysis
Necessary and sufficient condition for stability
Potential energy
[[1] P. Albertos, R. Strietzel and N. Mort, Control engineering solution , a practical approach, IEE Press,##[2] C. T. Chen, Introduction to linear system theory, Prentice Hall, Englewood Cliffs (1970) 83.##[3] Y. Ding, H. Ying and S. Shao, Theoretical analysis of a takagisugeno fuzzy PI controller with##application to tisssue hyperthermia therapy, Proc. of IEEE on Computational Intelligence, Vol. 1##(1998) 252257.##[4] S. S. Farinwata, A robust stablizing controller for a class of fuzzy systems, Proc. of IEEE Conf. of##Decision and Control, Vol. 5 (1999) 43554360.##[5] T. Furuhashi, H. Kakami, J. Peter and W. Pedrycz, A stability analysis of fuzzy control system using a##generalized fuzzy petri net model, Porc. of IEEE International Conference on Computational##Intelligence, Vol. 1 (1998) 95100.##[6] S. M. Guu and C. T. Pang, On asymptotic stability of free fuzzy systems, IEEE Trans. On Fuzzy##Systems., Vol. 7 (1999) 467468.##[7] T. Hasegawa and T. Furuhashi, Stability analysis of fuzzy control systems simplified as a discrete##system, Control and Cybernetics, Vol. 27, (1998), No. 1 (1998) 565577.##[8] T. Hasegawa, T. Furuhashi and Y. Uchikawa, Stability analysis of fuzzy control systems using petri##nets, Proc. of 5th IEEE Int. Conf. On Fuzzy Systems, (1996).##[9] X. He, H. Zhang and Z. Bien, Analysis on D stability of fuzzy system, Porc. of IEEE World Congress##on Computational Intelligence , (1998).##[10] G. Kang, W. Lee and M. Sugeno, Stability analysis of TSK fuzzy systems, Proc. of IEEE International##Conference on Computational Intelligence, Vol. 1 (1998) 555560.##[11] S. Kawamoto, K. Tada, A. Ishigame and T. Taniguchi, An approach to stability analysis of second##order fuzzy systems, Proc. First IEEE Int. Conf. On Fuzzy Systems,(1992).##[12] E. Kim, A new approach to numerical stability analysis of fuzzy control systems, IEEE Trans. On##Syst. Man and Cyber. , Part C , Vol. 31 (2001) 107113.##[13] H. K. Lam, F. H. F. Leung and P. K. S. Tam, Stability and robustness analysis and gain design for##fuzzy control systems subject to parameter uncertainties, Proc. of 9th International Conf. On Fuzzy##Systems., Vol. 2 (2000) 682687.##[14] P. Linder and B. Shafai, Qualitative robust fuzzy control with application to 1992 ACC Benchmark,##IEEE Trans. On Fuzzy Systems, Vol. 7 (1999) 409421. ##[15] M. Margaliot and G. Langholz, New approaches to fuzzy modelling and control design, World##Scientific Press, (2000).##[16] M. Margaliot and G. Langholz, Adaptive fuzzy controller design via fuzzy Lyapunov synthesis, IEEE##Conf. (1998).##[17] M. Margaliot and G. Langholz, Fuzzy control of a benchmark problem: a computing with words##approach, IEEE Conf. (2001).##[18] W. Pedrycz and F. Gomide, A new generalized fuzzy petri net model, IEEE Trans. On Fuzzy Systems,##Vol. 2 (1994) 295301.##[19] R. E. Precup, S. Preitl and S. Solyom, Center manifold theory approach to the stability analysis of##fuzzy control systems, EUFIT, (1999), Dortmund.##[20] J. J. E. Slotine and W. Li, Applied nonlinear control, Prentice Hall##[21] M. Sugeno, On stability fuzzy systems expressed by fuzzy rules with singleton consequents, IEEE##Trans. On Fuzzy Systems. , Vol. 7 (1999) 201224.##[22] A. A. Suratgar and S. K. Nikravesh, A new sufficient condition for stability of fuzzy systems, ICEE##2002, Tabriz, Iran, (2002).##[23] A. A. Suratgar and S. K. Nikravesh, Comment on: stability analysis of fuzzy control systems simplified##as a discrete system, Control and Cybernetics Journal, Submitted.##[24] A. A. Suratgar and S. K. Nikravesh, Necessary and sufficient conditions for asymptotic stability of a##class of applied nonlinear dynamical systems, IEEE Circuit and System Conf., Sharjah, (2003), (to##[25] A. A. Suratgar and S. K. Nikravesh, Two new approaches for linguistic fuzzy modeling and##introduction to their stability analysis, IEEE World Congress Computational Intelligence, USA,##[26] A. A. Suratgar and S. K. Nikravesh, Two new approaches for linguistic fuzzy modeling and its##stability, IEEE Fuzzy System and Knowledge Discovery FSKD’02, Singapour, (2002).##[27] A. A. Suratgar and S. K. Nikravesh, Two approaches for linguistic fuzzy modeling and its stability,##Daneshvar Journal (to be appeared), (2002) (in persian).##[28] A. A. Suratgar and S. K. Nikravesh, Variation model: the concept and stability analysis, IEEE World##Congress Computational intelligence, USA, (2003).##[29] Kazuo Tanaka, Stability and stabilizability of fuzzyneurallinear control systems, IEEE Trans. On##Fuzzy Systems., Vol. 3 (1995) 438447.##[30] K. Tanaka, T. Ikeda and H. O. Wang, A LMI approach to fuzzy controller designs based on relaxed##stability condition, Proc. of the Sixth IEEE International Conf. on Fuzzy Systems., Vol. 1 (1997) 171##[31] K. Tanaka and M. Sugeno, Stability analysis and design of fuzzy control systems, Fuzzy Sets Systems,##Vol. 45 (1992) 136156.##[32] M. A. L.Thathachar and P. Viswanath, On stabilityof fuzzy systems, IEEE Trans. On Fuzzy Systems.,##Vol. 5 (1997) 145151.##[33] L. X. Wang, Fuzzy systems as nonlinear dynamic systems identifiers, part II: stability analysis and##simulation, Proc. of 31th Conf. of Decision and Control, (1992 ).##[34] H. Yamamoto and T. Furuhashi, A new sufficient condition for stable fuzzy control system and its##design method, IEEE Trans. On Fuzzy Systems, Vol. 9 (2001) 554569.##[35] L. A. Zadeh, Outline of a new approach to the analysis of complex systems and decision processes,##IEEE Transaction on Systems Man and Cybernetics, Vol. SMC3, No. 1 (1973) 2844.##]
Persiantranslation Vol. 2 No. 1
2
2
1

77
82