University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130630ON FUZZY NEIGHBORHOOD BASED CLUSTERING
ALGORITHM WITH LOW COMPLEXITYON FUZZY NEIGHBORHOOD BASED CLUSTERING
ALGORITHM WITH LOW COMPLEXITY12080610.22111/ijfs.2013.806ENGozdeUlutagayDepartment of Industrial Engineering, Izmir University, Gursel
Aksel Blv 14, Uckuyular, Izmir, TurkeyEfendiNasibovDepartment of Computer Science, Dokuz Eylul University, Izmir,
35160, Turkey, Institute of Cybernetics, Azerbaijan National Academy of Sciences,
AzerbaijanJournal Article20110410The main purpose of this paper is to achieve improvement in the<br />speed of Fuzzy Joint Points (FJP) algorithm. Since FJP approach is a basis<br />for fuzzy neighborhood based clustering algorithms such as Noise-Robust FJP<br />(NRFJP) and Fuzzy Neighborhood DBSCAN (FN-DBSCAN), improving FJP<br />algorithm would an important achievement in terms of these FJP-based meth-<br />ods. Although FJP has many advantages such as robustness, auto detection<br />of the optimal number of clusters by using cluster validity, independency from<br />scale, etc., it is a little bit slow. In order to eliminate this disadvantage, by im-<br />proving the FJP algorithm, we propose a novel Modied FJP algorithm, which<br />theoretically runs approximately n= log2 n times faster and which is less com-<br />plex than the FJP algorithm. We evaluated the performance of the Modied<br />FJP algorithm both analytically and experimentally.https://ijfs.usb.ac.ir/article_806_29d29dbb033397c08126e891f30d1646.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130630OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED
SYSTEM WITH FUZZY INITIAL CONDITIONSOPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED
SYSTEM WITH FUZZY INITIAL CONDITIONS213580710.22111/ijfs.2013.807ENMarziehNajariyanDepartment of Applied Mathematics, Ferdowsi University of
Mashhad, Mashhad, IranMohamad HadiFarahiDepartment of Applied Mathematics, Ferdowsi University of
Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control
Systems (CEMCS)Journal Article20110710In this article we found the solution of fuzzy linear controlled system<br />with fuzzy initial conditions by using -cuts and presentation of numbers<br />in a more compact form by moving to the eld of complex numbers. Next, a<br />fuzzy optimal control problem for a fuzzy system is considered to optimize the<br />expected value of a fuzzy objective function. Based on Pontryagin Maximum<br />Principle, a constructive equation for the problem is presented. In the last<br />section, three examples are used to show that the method in eective to solve<br />fuzzy and fuzzy optimal linear controlled systems.https://ijfs.usb.ac.ir/article_807_c58b5ba2cb1e2768a9c8c8fc759eb228.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130630$\mathcal{I}_2$-convergence of double sequences of\\ fuzzy numbers$\mathcal{I}_2$-convergence of double sequences of\\ fuzzy numbers375080910.22111/ijfs.2013.809ENErdinc.DundarDepartment of Mathematics, Afyon Kocatepe University, 03200
Afyonkarahisarn,TurkeyOzerTaloDepartment of Mathematics, Celal Bayar University, 45040 Manisa,
Turkey0000-0003-1393-5414Journal Article20110710<em></em>In this paper, we introduce and study the concepts of $\mathcal{I}_2$-convergence, $\mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $\mathcal{I}_2$ denotes the ideal of subsets of $\mathbb N \times \mathbb N$. Also, we study some properties and relations of them.https://ijfs.usb.ac.ir/article_809_803b6897c706fdbec4081baf755af3ca.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACESON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES516386210.22111/ijfs.2013.862ENI.SadeqiDepartment of Mathematics, Sahand university of technology, Tabriz-
IranF.MoradlouDepartment of Mathematics, Sahand university of technology, Tabriz-
IranM.SalehiDepartment of Mathematics, Sahand university of technology, Tabriz-
IranJournal Article20110515n this paper we study the Hyers-Ulam-Rassias stability of Cauchy<br />equation in Felbin's type fuzzy normed linear spaces. As a result<br />we give an example of a fuzzy normed linear space such that the<br />fuzzy version of the stability problem remains true, while it fails<br />to be correct in classical analysis. This shows how the category of<br />fuzzy normed linear spaces differs from the classical normed linear<br />spaces in general.https://ijfs.usb.ac.ir/article_862_96b9bdd60ae0f69019dd773c9ce92817.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601ALGEBRAICALLY-TOPOLOGICAL SYSTEMS AND
ATTACHMENTSALGEBRAICALLY-TOPOLOGICAL SYSTEMS AND
ATTACHMENTS6510286310.22111/ijfs.2013.863ENAnnaFrascellaDepartment of Mathematics \E. De Giorgi", University of Salento,
P. O. Box 193, 73100 Lecce, ItalyCosimoGuidoDepartment of Mathematics \E. De Giorgi", University of Salento,
P. O. Box 193, 73100 Lecce, ItalySergey A.SolovyovDepartment of Mathematics, University of Latvia, Zellu iela 8,
LV-1002 Riga, Latvia and Institute of Mathematics and Computer Science, University
of Latvia, Raina bulvaris 29, LV-1459 Riga, Latvia0000-0002-5213-978XJournal Article20110915The paper continues the study of the authors on relationships between \emph{topological systems} of S.~Vickers and \emph{attachments} of C.~Guido. We extend topological systems to \emph{algebraically-topological systems}. A particular instance of the latter, called \emph{attachment system}, incorporates the notion of attachment, thus, making it categorically redundant in mathematics. We show that attachment systems are equipped with an internal topology, which isĀ similar to the topology induced by locales. In particular, we provide an attachment system analogue of the well-known categorical equivalence between sober topological spaces and spatial locales.https://ijfs.usb.ac.ir/article_863_f7926f99d233d0b927339f4338ddbc5c.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601Preservation theorems in {\L}ukasiewicz \\model theoryPreservation theorems in {\L}ukasiewicz \\model theory10311386410.22111/ijfs.2013.864ENSeyed-MohammadBagheriDepartment of Pure Mathematics, Faculty of Mathemat-
ical Sciences, Tarbiat Modares University, P.O. Box 14115-134, and Institute for Re-
search in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, IranMortezaMoniriDepartment of Mathematics, Shahid Beheshti University, G. C.,
Evin, Tehran, IranJournal Article20111215We present some model theoretic results for {\L}ukasiewicz<br />predicate logic by using the methods of continuous model theory<br />developed by Chang and Keisler.<br />We prove compactness theorem with respect to the class of all<br />structures taking values in the {\L}ukasiewicz $\texttt{BL}$-algebra.<br />We also prove some appropriate preservation theorems concerning universal and inductive theories.<br />Finally, Skolemization and Morleyization in this framework are discussed and<br />some natural examples of fuzzy theories are presented.https://ijfs.usb.ac.ir/article_864_4dc824201c1a83e208595fdce2760b02.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601NEW RESULTS ON THE EXISTING FUZZY DISTANCE
MEASURESNEW RESULTS ON THE EXISTING FUZZY DISTANCE
MEASURES11512486510.22111/ijfs.2013.865ENSaeidAbbasbandyDepartment of Mathematics, Imam Khomeini International Uni-
versity, Ghazvin, 34149-16818, Iran0000-0003-3385-4152SoheilSalahshourYoung Researchers and Elite Club, Mobarakeh Branch, Islamic
Azad University, Mobarakeh, Iran0000-0003-1390-3551Journal Article20110515In this paper, we investigate the properties of some recently pro-<br />posed fuzzy distance measures. We find out some shortcomings for these dis-<br />tances and then the obtained results are illustrated by solving several examples<br />and compared with the other fuzzy distances.https://ijfs.usb.ac.ir/article_865_f126130d163cdce4954709acbe123b64.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601representation theorems of $L-$subsets and $L-$families on complete residuated latticerepresentation theorems of $L-$subsets and $L-$families on complete residuated lattice12513686610.22111/ijfs.2013.866ENHuiHanDepartment of Mathematics, Ocean University of China, 266100 Qingdao,
P.R. ChinaJinmingFangDepartment of Mathematics, Ocean University of China, 266100 Qing-
dao, P.R. ChinaJournal Article20111015In this paper, our purpose is twofold. Firstly, the tensor and<br />residuum operations on $L-$nested systems are introduced under the<br />condition of complete residuated lattice. Then we show that<br />$L-$nested systems form a complete residuated lattice, which is<br />precisely the classical isomorphic object of complete residuated<br />power set lattice. Thus the new representation theorem of<br />$L-$subsets on complete residuated lattice is obtained. Secondly, we<br />introduce the concepts of $L-$family and the system of $L-$subsets,<br />then with the tool of the system of $L-$subsets, we obtain the<br />representation theorem of intersection-preserving $L-$families on<br />complete residuated lattice.https://ijfs.usb.ac.ir/article_866_34e66093d052f7fc3dc927be495d286b.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601Existence of Extremal Solutions for Impulsive Delay Fuzzy
Integrodifferential Equations in $n$-dimensional Fuzzy Vector SpaceExistence of Extremal Solutions for Impulsive Delay Fuzzy
Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space13715786710.22111/ijfs.2013.867ENYoungChel KwunDepartment of Mathematics, Dong-A University, Busan 604-714,
Republic of KoreaJeong SoonKimDepartment of Math. Education, Daegu-University, Gyeongsan 712-
714, Republic of KoreaJin HanParkDepartment of Applied Mathematics, Pukyong National University,
Buan 608-737, Republic of KoreaJournal Article20110316In this paper, we study the existence of extremal solutions for<br />impulsive delay fuzzy integrodifferential equations in<br />$n$-dimensional fuzzy vector space, by using monotone method. We<br />show that obtained result is an extension of the result of<br />Rodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzy<br />integrodifferential equations in $n$-dimensional fuzzy vector space.https://ijfs.usb.ac.ir/article_867_92344978ee7caa723a34d804983d83c0.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410320130601On fuzzy convex lattice-ordered subgroupsOn fuzzy convex lattice-ordered subgroups15917286810.22111/ijfs.2013.868ENMahmoodBakhshiDepartment of Mathematics, Bojnord University, Bojnord, IranJournal Article20110116In this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. Also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. Furthermore, the Fundamental Homomorphism Theorem is established. Finally, it is proved that the class of all fuzzy convex lattice-ordered subgroups of a lattice-ordered group $G$ forms a complete Heyting sublattice of the lattice of fuzzy subgroups of $G$.https://ijfs.usb.ac.ir/article_868_d0885d1f664c56b3166342279f5a2d45.pdf