University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421SIMULATING CONTINUOUS FUZZY SYSTEMS: ISIMULATING CONTINUOUS FUZZY SYSTEMS: I11747110.22111/ijfs.2005.471ENJ. J.BuckleyDepartment of Mathematics, University of Alabama at Birmingham,
Birmingham, Alabama, 35294, USAK. D.ReillyDepartment of Computer and Information Sciences, University
of Alabama at Birmingham, Birmingham, Alabama, 35294, USAL. J.JowersDepartment of Computer and Information Sciences, University
of Alabama at Birmingham, Birmingham, Alabama, 35294, USAJournal Article20050221In previous studies we first concentrated on utilizing crisp simulation<br />to produce discrete event fuzzy systems simulations. Then we extended<br />this research to the simulation of continuous fuzzy systems models. In this paper<br />we continue our study of continuous fuzzy systems using crisp continuous<br />simulation. Consider a crisp continuous system whose evolution depends on<br />differential equations. Such a system contains a number of parameters that<br />must be estimated. Usually point estimates are computed and used in the<br />model. However these point estimates typically have uncertainty associated<br />with them. We propose to incorporate uncertainty by using fuzzy numbers as<br />estimates of these unknown parameters. Fuzzy parameters convert the crisp<br />system into a fuzzy system. Trajectories describing the behavior of the system<br />become fuzzy curves. We will employ crisp continuous simulation to estimate<br />these fuzzy trajectories. Three examples are discussed.https://ijfs.usb.ac.ir/article_471_f3efc123c3db28ced3c6f896f470dbb4.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421ON PROJECTIVE L- MODULESON PROJECTIVE L- MODULES192847210.22111/ijfs.2005.472ENPAULISAACDEPARTMENT OF MATHEMATICS, BHARATA MATA COLLEGE, THRIKKAKARA KOCHI -
682 021, KERALA, INDIAJournal Article20040121The concepts of free modules, projective modules, injective modules and the like<br />form an important area in module theory. The notion of free fuzzy modules was introduced<br />by Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameri<br />introduced the concept of projective and injective L-modules. In this paper we give an<br />alternate definition for projective L-modules. We prove that every free L-module is a<br />projective L-module. Also we prove that if μ∈L(P) is a projective L-module, and if<br />0→η f→ ν g→ μ →0 is a short exact sequence of L-modules then η⊕ μ >ν.<br />Further it is proved that if μ∈L(P) is a projective L-module then μ is a fuzzy direct summand<br />of a free L-module.https://ijfs.usb.ac.ir/article_472_56c5e05d4edd4ec42f09af2b28ca8488.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421P2-CONNECTEDNESS IN L-TOPOLOGICAL SPACESP2-CONNECTEDNESS IN L-TOPOLOGICAL SPACES293647310.22111/ijfs.2005.473ENShu-PingLiDepartment of Computer Science and Technology, Mudanjiang Teachers
College, Mudanjiang, Heilongjiang 157012, P.R. ChinaZhengFangDepartment of Computer Science and Technology, Daqing Teachers
College, Daqing, Heilongjiang 157012, P.R. ChinaJieZhaoDepartment of Computer Science and Technology, Mudanjiang Teachers
College, Mudanjiang, Heilongjiang 157012, P.R. ChinaJournal Article20040321In this paper, a certain new connectedness of L-fuzzy subsets in<br />L-topological spaces is introduced and studied by means of preclosed sets. It<br />preserves some fundamental properties of connected set in general topology.<br />Especially the famous K. Fan’s Theorem holds.https://ijfs.usb.ac.ir/article_473_a29f06f0f25e1ea6f87a2142260d85f3.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421FUZZY HYPERVECTOR SPACES OVER VALUED FIELDSFUZZY HYPERVECTOR SPACES OVER VALUED FIELDS374747410.22111/ijfs.2005.474ENRezaAmeriDepartment of Mathematics, University of Mazandaran, Babolsar, IranJournal Article20040721In this note we first redefine the notion of a fuzzy hypervector<br />space (see [1]) and then introduce some further concepts of fuzzy hypervector<br />spaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervector<br />spaces over valued fields. Finally, we briefly discuss on the convex (balanced)<br />hull of a given fuzzy set of a hypervector space.https://ijfs.usb.ac.ir/article_474_75629850ad65e93cb75b88dddde33b7f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHSCATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS496347510.22111/ijfs.2005.475ENM. M.ZahediDepartment of Mathematics, Shahid Bahonar University of Kerman,
Kerman, IranM. R.Khorashadi-ZadehDepartment of Mathematics, Imam Ali Military University,
Tehran, IranJournal Article20130421In this note by considering a complete lattice L, we define the<br />notion of an L-Fuzzy hyperrelation on a given non-empty set X. Then we<br />define the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroup<br />and obtain some related results. In particular we construct the categories of<br />the above mentioned notions, and give a (full and faithful) functor form the<br />category of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into the<br />category of (POM)L-Fuzzy hypergraphs. Also we show that for each finite<br />objects in the category of (POM)L-Fuzzy graphs, the coproduct exists, and<br />under a suitable condition the product also exists.https://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421POTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMSPOTENTIAL ENERGY BASED STABILITY ANALYSIS OF FUZZY LINGUISTIC SYSTEMS657447610.22111/ijfs.2005.476ENAMIR ABOLFAZLSURATGARDEPARTMENT OF ELECTRICAL ENGINEERING, ARAK UNIVERSITY, ARAK,
IRANSYED KAMALEDINNIKRAVESHDEPARTMENT OF ELECTRICAL ENGINEERING, AMIRKABIR UNIVERSITY
OF TECHNOLOGY, TEHRAN, IRANJournal Article20050421This paper presents the basic concepts of stability in fuzzy linguistic models. The<br />authors have proposed a criterion for BIBO stability analysis of fuzzy linguistic models<br />associated to linear time invariant systems [25]-[28]. This paper presents the basic concepts of<br />stability in the general nonlinear and linear systems. This stability analysis method is verified<br />using a benchmark system analysis.https://ijfs.usb.ac.ir/article_476_864cf32d5a991972d992edcdd3b3cb6f.pdf