University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
27
cover Vol. 2 No. 1
0
EN
10.22111/ijfs.2005.3125
http://ijfs.usb.ac.ir/article_3125.html
http://ijfs.usb.ac.ir/article_3125_1c08b55268965943ac4cf510119ecfcf.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
21
SIMULATING CONTINUOUS FUZZY SYSTEMS: I
1
17
EN
J. J.
Buckley
Department of Mathematics, University of Alabama at Birmingham,
Birmingham, Alabama, 35294, USA
buckley@math.uab.edu
K. D.
Reilly
Department of Computer and Information Sciences, University
of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
jowersl,reilly@cis.uab.edu
L. J.
Jowers
Department of Computer and Information Sciences, University
of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
10.22111/ijfs.2005.471
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.
Fuzzy systems,Fuzzy differential equations,Simulation,Uncertainty
http://ijfs.usb.ac.ir/article_471.html
http://ijfs.usb.ac.ir/article_471_f3efc123c3db28ced3c6f896f470dbb4.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
21
ON PROJECTIVE L- MODULES
19
28
EN
PAUL
ISAAC
DEPARTMENT OF MATHEMATICS, BHARATA MATA COLLEGE, THRIKKAKARA KOCHI -
682 021, KERALA, INDIA
pi@cusat.ac.in
10.22111/ijfs.2005.472
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 L-modules. In this paper we give analternate definition for projective L-modules. We prove that every free L-module is aprojective L-module. Also we prove that if μ∈L(P) is a projective L-module, and if0→η f→ ν g→ μ →0 is a short exact sequence of L-modules then η⊕ μ >ν.Further it is proved that if μ∈L(P) is a projective L-module then μ is a fuzzy direct summandof a free L-module.
The concepts of free modules,projective modules
http://ijfs.usb.ac.ir/article_472.html
http://ijfs.usb.ac.ir/article_472_56c5e05d4edd4ec42f09af2b28ca8488.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
21
P2-CONNECTEDNESS IN L-TOPOLOGICAL SPACES
29
36
EN
Shu-Ping
Li
Department of Computer Science and Technology, Mudanjiang Teachers
College, Mudanjiang, Heilongjiang 157012, P.R. China
lishuping46@hotmail.com or lishuping46@126.com
Zheng
Fang
Department of Computer Science and Technology, Daqing Teachers
College, Daqing, Heilongjiang 157012, P.R. China
fangzhengdq-1@163.com
Jie
Zhao
Department of Computer Science and Technology, Mudanjiang Teachers
College, Mudanjiang, Heilongjiang 157012, P.R. China
10.22111/ijfs.2005.473
In this paper, a certain new connectedness of L-fuzzy subsets inL-topological 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.
L-topological space,Preclosed set,P-connected set,P2-connected set
http://ijfs.usb.ac.ir/article_473.html
http://ijfs.usb.ac.ir/article_473_a29f06f0f25e1ea6f87a2142260d85f3.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
21
FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
37
47
EN
Reza
Ameri
Department of Mathematics, University of Mazandaran, Babolsar, Iran
10.22111/ijfs.2005.474
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.
Fuzzy hypervector spaces,convex fuzzy sets,balanced fuzzy sets,valued fields
http://ijfs.usb.ac.ir/article_474.html
http://ijfs.usb.ac.ir/article_474_75629850ad65e93cb75b88dddde33b7f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
21
CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS
49
63
EN
M. M.
Zahedi
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
zahedi mm@mail.uk.ac.ir
M. R.
Khorashadi-Zadeh
Department of Mathematics, Imam Ali Military University,
Tehran, Iran
mr khorashadi@yahoo.com
10.22111/ijfs.2005.475
In this note by considering a complete lattice L, we define thenotion of an L-Fuzzy hyperrelation on a given non-empty set X. Then wedefine the concepts of (POM)L-Fuzzy 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)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into thecategory of (POM)L-Fuzzy hypergraphs. Also we show that for each finiteobjects in the category of (POM)L-Fuzzy graphs, the coproduct exists, andunder a suitable condition the product also exists.
Fuzzy graph,Fuzzy hypergraph,Fuzzy subhypergroup,Partially
ordered monoid
http://ijfs.usb.ac.ir/article_475.html
http://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
21
POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS
65
74
EN
AMIR ABOLFAZL
SURATGAR
DEPARTMENT OF ELECTRICAL ENGINEERING, ARAK UNIVERSITY, ARAK,
IRAN
a_a_suratgar@yahoo.com
SYED KAMALEDIN
NIKRAVESH
DEPARTMENT OF ELECTRICAL ENGINEERING, AMIRKABIR UNIVERSITY
OF TECHNOLOGY, TEHRAN, IRAN
nikravesh@aut.ac.ir
10.22111/ijfs.2005.476
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.
Fuzzy modeling,Stability analysis,Necessary and sufficient condition for
stability,Potential energy
http://ijfs.usb.ac.ir/article_476.html
http://ijfs.usb.ac.ir/article_476_864cf32d5a991972d992edcdd3b3cb6f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
2
1
2005
04
28
Persian-translation Vol. 2 No. 1
77
82
EN
10.22111/ijfs.2005.3126
http://ijfs.usb.ac.ir/article_3126.html
http://ijfs.usb.ac.ir/article_3126_12ac9fce1f8b3a6aae2759c54c0a60db.pdf