eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-27
2
1
0
10.22111/ijfs.2005.3125
3125
cover Vol. 2 No. 1
http://ijfs.usb.ac.ir/article_3125_1c08b55268965943ac4cf510119ecfcf.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-21
2
1
1
17
10.22111/ijfs.2005.471
471
مقاله پژوهشی
SIMULATING CONTINUOUS FUZZY SYSTEMS: I
J. J. Buckley
buckley@math.uab.edu
1
K. D. Reilly
jowersl,reilly@cis.uab.edu
2
L. J. Jowers
3
Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
Department of Computer and Information Sciences, University of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
Department of Computer and Information Sciences, University of Alabama at Birmingham, Birmingham, Alabama, 35294, USA
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.
http://ijfs.usb.ac.ir/article_471_f3efc123c3db28ced3c6f896f470dbb4.pdf
Fuzzy systems
Fuzzy differential equations
Simulation
Uncertainty
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-21
2
1
19
28
10.22111/ijfs.2005.472
472
مقاله پژوهشی
ON PROJECTIVE L- MODULES
PAUL ISAAC
pi@cusat.ac.in
1
DEPARTMENT OF MATHEMATICS, BHARATA MATA COLLEGE, THRIKKAKARA KOCHI - 682 021, KERALA, INDIA
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.
http://ijfs.usb.ac.ir/article_472_56c5e05d4edd4ec42f09af2b28ca8488.pdf
The concepts of free modules
projective modules
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-21
2
1
29
36
10.22111/ijfs.2005.473
473
مقاله پژوهشی
P2-CONNECTEDNESS IN L-TOPOLOGICAL SPACES
Shu-Ping Li
lishuping46@hotmail.com or lishuping46@126.com
1
Zheng Fang
fangzhengdq-1@163.com
2
Jie Zhao
3
Department of Computer Science and Technology, Mudanjiang Teachers College, Mudanjiang, Heilongjiang 157012, P.R. China
Department of Computer Science and Technology, Daqing Teachers College, Daqing, Heilongjiang 157012, P.R. China
Department of Computer Science and Technology, Mudanjiang Teachers College, Mudanjiang, Heilongjiang 157012, P.R. China
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.
http://ijfs.usb.ac.ir/article_473_a29f06f0f25e1ea6f87a2142260d85f3.pdf
L-topological space
Preclosed set
P-connected set
P2-connected set
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-21
2
1
37
47
10.22111/ijfs.2005.474
474
مقاله پژوهشی
FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
Reza Ameri
1
Department of Mathematics, University of Mazandaran, Babolsar, Iran
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.
http://ijfs.usb.ac.ir/article_474_75629850ad65e93cb75b88dddde33b7f.pdf
Fuzzy hypervector spaces
convex fuzzy sets
balanced fuzzy sets
valued fields
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-21
2
1
49
63
10.22111/ijfs.2005.475
475
مقاله پژوهشی
CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS
M. M. Zahedi
zahedi mm@mail.uk.ac.ir
1
M. R. Khorashadi-Zadeh
mr khorashadi@yahoo.com
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Imam Ali Military University, Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdf
Fuzzy graph
Fuzzy hypergraph
Fuzzy subhypergroup
Partially
ordered monoid
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-21
2
1
65
74
10.22111/ijfs.2005.476
476
مقاله پژوهشی
POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS
AMIR ABOLFAZL SURATGAR
a_a_suratgar@yahoo.com
1
SYED KAMALEDIN NIKRAVESH
nikravesh@aut.ac.ir
2
DEPARTMENT OF ELECTRICAL ENGINEERING, ARAK UNIVERSITY, ARAK, IRAN
DEPARTMENT OF ELECTRICAL ENGINEERING, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN
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.
http://ijfs.usb.ac.ir/article_476_864cf32d5a991972d992edcdd3b3cb6f.pdf
Fuzzy modeling
Stability analysis
Necessary and sufficient condition for
stability
Potential energy
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2005-04-28
2
1
77
82
10.22111/ijfs.2005.3126
3126
Persian-translation Vol. 2 No. 1
http://ijfs.usb.ac.ir/article_3126_12ac9fce1f8b3a6aae2759c54c0a60db.pdf