eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-29
10
3
0
10.22111/ijfs.2013.2704
2704
Cover vol. 10, no. 3, June 2013
http://ijfs.usb.ac.ir/article_2704_51aafc18f0567f552ac9f68f7bf9771d.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-30
10
3
1
20
10.22111/ijfs.2013.806
806
مقاله پژوهشی
ON FUZZY NEIGHBORHOOD BASED CLUSTERING
ALGORITHM WITH LOW COMPLEXITY
Gozde Ulutagay
gozde.ulutagay@izmir.edu.tr
1
Efendi Nasibov
efendi nasibov@yahoo.com
2
Department of Industrial Engineering, Izmir University, Gursel Aksel Blv 14, Uckuyular, Izmir, Turkey
Department of Computer Science, Dokuz Eylul University, Izmir, 35160, Turkey, Institute of Cybernetics, Azerbaijan National Academy of Sciences, Azerbaijan
The main purpose of this paper is to achieve improvement in thespeed of Fuzzy Joint Points (FJP) algorithm. Since FJP approach is a basisfor fuzzy neighborhood based clustering algorithms such as Noise-Robust FJP(NRFJP) and Fuzzy Neighborhood DBSCAN (FN-DBSCAN), improving FJPalgorithm would an important achievement in terms of these FJP-based meth-ods. Although FJP has many advantages such as robustness, auto detectionof the optimal number of clusters by using cluster validity, independency fromscale, etc., it is a little bit slow. In order to eliminate this disadvantage, by im-proving the FJP algorithm, we propose a novel Modied FJP algorithm, whichtheoretically runs approximately n= log2 n times faster and which is less com-plex than the FJP algorithm. We evaluated the performance of the ModiedFJP algorithm both analytically and experimentally.
http://ijfs.usb.ac.ir/article_806_29d29dbb033397c08126e891f30d1646.pdf
Clustering
Fuzzy neighborhood relation
Complexity
Modied FJP
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-30
10
3
21
35
10.22111/ijfs.2013.807
807
مقاله پژوهشی
OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED
SYSTEM WITH FUZZY INITIAL CONDITIONS
Marzieh Najariyan
marzieh.najariyan@gmail.com
1
Mohamad Hadi Farahi
farahi@math.um.ac.ir
2
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control Systems (CEMCS)
In this article we found the solution of fuzzy linear controlled systemwith fuzzy initial conditions by using -cuts and presentation of numbersin a more compact form by moving to the eld of complex numbers. Next, afuzzy optimal control problem for a fuzzy system is considered to optimize theexpected value of a fuzzy objective function. Based on Pontryagin MaximumPrinciple, a constructive equation for the problem is presented. In the lastsection, three examples are used to show that the method in eective to solvefuzzy and fuzzy optimal linear controlled systems.
http://ijfs.usb.ac.ir/article_807_c58b5ba2cb1e2768a9c8c8fc759eb228.pdf
Fuzzy linear controlled system
Optimal fuzzy controlled system
PMP
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-30
10
3
37
50
10.22111/ijfs.2013.809
809
مقاله پژوهشی
$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
Erdinc. Dundar
erdincdundar79@gmail.com
1
Ozer Talo
ozertalo@hotmail.com
2
Department of Mathematics, Afyon Kocatepe University, 03200 Afyonkarahisarn,Turkey
Department of Mathematics, Celal Bayar University, 45040 Manisa, Turkey
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.
http://ijfs.usb.ac.ir/article_809_803b6897c706fdbec4081baf755af3ca.pdf
Ideal
Double sequences
$mathcal{I}$-Convergence
Fuzzy number sequences
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
51
63
10.22111/ijfs.2013.862
862
مقاله پژوهشی
ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES
I. Sadeqi
esadeqi@sut.ac.ir
1
F. Moradlou
moradlou@sut.ac.ir
2
M. Salehi
mit-paydar@yahoo.com
3
Department of Mathematics, Sahand university of technology, Tabriz- Iran
Department of Mathematics, Sahand university of technology, Tabriz- Iran
Department of Mathematics, Sahand university of technology, Tabriz- Iran
n this paper we study the Hyers-Ulam-Rassias stability of Cauchyequation in Felbin's type fuzzy normed linear spaces. As a resultwe give an example of a fuzzy normed linear space such that thefuzzy version of the stability problem remains true, while it failsto be correct in classical analysis. This shows how the category offuzzy normed linear spaces differs from the classical normed linearspaces in general.
http://ijfs.usb.ac.ir/article_862_96b9bdd60ae0f69019dd773c9ce92817.pdf
Fuzzy real number
Fuzzy normed space
Hyers-Ulam-Rassias
stability
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
65
102
10.22111/ijfs.2013.863
863
مقاله پژوهشی
ALGEBRAICALLY-TOPOLOGICAL SYSTEMS AND
ATTACHMENTS
Anna Frascella
frascella anna@libero.it
1
Cosimo Guido
cosimo.guido@unisalento.it
2
Sergey A. Solovyov
solovjovs@fme.vutbr.cz
3
Department of Mathematics \E. De Giorgi", University of Salento, P. O. Box 193, 73100 Lecce, Italy
Department of Mathematics \E. De Giorgi", University of Salento, P. O. Box 193, 73100 Lecce, Italy
Department 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, Latvia
The 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 is 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.
http://ijfs.usb.ac.ir/article_863_f7926f99d233d0b927339f4338ddbc5c.pdf
Algebraically-topological system
Attachment system
Categorically-algebraic topology
Dual attachment pair
Localic algebra
Localification of systems
(Variety-based) pointless topology
Spatialization of systems
Topological theory morphism
Variety
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
103
113
10.22111/ijfs.2013.864
864
مقاله پژوهشی
Preservation theorems in {L}ukasiewicz \model theory
Seyed-Mohammad Bagheri
bagheri@modares.ac.ir
1
Morteza Moniri
m-moniri@sbu.ac.ir, ezmoniri@gmail.com
2
Department 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, Iran
Department of Mathematics, Shahid Beheshti University, G. C., Evin, Tehran, Iran
We present some model theoretic results for {L}ukasiewiczpredicate logic by using the methods of continuous model theorydeveloped by Chang and Keisler.We prove compactness theorem with respect to the class of allstructures taking values in the {L}ukasiewicz $texttt{BL}$-algebra.We also prove some appropriate preservation theorems concerning universal and inductive theories.Finally, Skolemization and Morleyization in this framework are discussed andsome natural examples of fuzzy theories are presented.
http://ijfs.usb.ac.ir/article_864_4dc824201c1a83e208595fdce2760b02.pdf
Continuous model theory
{L}ukasiewicz logic
Preservation theorems
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
115
124
10.22111/ijfs.2013.865
865
مقاله پژوهشی
NEW RESULTS ON THE EXISTING FUZZY DISTANCE
MEASURES
Saeid Abbasbandy
abbasbandy@yahoo.com
1
Soheil Salahshour
soheilsalahshour@yahoo.com
2
Department of Mathematics, Imam Khomeini International Uni- versity, Ghazvin, 34149-16818, Iran
Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran
In this paper, we investigate the properties of some recently pro-posed fuzzy distance measures. We find out some shortcomings for these dis-tances and then the obtained results are illustrated by solving several examplesand compared with the other fuzzy distances.
http://ijfs.usb.ac.ir/article_865_f126130d163cdce4954709acbe123b64.pdf
Fuzzy distance measure
Metric properties
Fuzzy numbers
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
125
136
10.22111/ijfs.2013.866
866
مقاله پژوهشی
representation theorems of $L-$subsets and $L-$families on complete residuated lattice
Hui Han
hanhui200801@163.com
1
Jinming Fang
jinming-fang@163.com
2
Department of Mathematics, Ocean University of China, 266100 Qingdao, P.R. China
Department of Mathematics, Ocean University of China, 266100 Qing- dao, P.R. China
In this paper, our purpose is twofold. Firstly, the tensor andresiduum operations on $L-$nested systems are introduced under thecondition of complete residuated lattice. Then we show that$L-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. Thus the new representation theorem of$L-$subsets on complete residuated lattice is obtained. Secondly, weintroduce the concepts of $L-$family and the system of $L-$subsets,then with the tool of the system of $L-$subsets, we obtain therepresentation theorem of intersection-preserving $L-$families oncomplete residuated lattice.
http://ijfs.usb.ac.ir/article_866_34e66093d052f7fc3dc927be495d286b.pdf
Complete residuated lattices
$L-$subsets
$L-$nested systems
$L-$families
Level $L-$subsets
Representation theorems
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
137
157
10.22111/ijfs.2013.867
867
مقاله پژوهشی
Existence of Extremal Solutions for Impulsive Delay Fuzzy
Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space
Young Chel Kwun
yckwun@dau.ac.kr
1
Jeong Soon Kim
jeskim@donga.ac.kr
2
Jin Han Park
jihpark@pknu.ac.kr
3
Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea
Department of Math. Education, Daegu-University, Gyeongsan 712- 714, Republic of Korea
Department of Applied Mathematics, Pukyong National University, Buan 608-737, Republic of Korea
In this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. Weshow that obtained result is an extension of the result ofRodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.
http://ijfs.usb.ac.ir/article_867_92344978ee7caa723a34d804983d83c0.pdf
Extremal solution
Impulsive delay fuzzy
integrodifferential equation
$n$-dimensional fuzzy vector space
Monotone method
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
159
172
10.22111/ijfs.2013.868
868
مقاله پژوهشی
On fuzzy convex lattice-ordered subgroups
Mahmood Bakhshi
bakhshi@ub.ac.ir
1
Department of Mathematics, Bojnord University, Bojnord, Iran
In 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 $G$.
http://ijfs.usb.ac.ir/article_868_d0885d1f664c56b3166342279f5a2d45.pdf
Lattice-ordered group
Convex subgroup
Fuzzy convex subgroup
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-06-01
10
3
175
184
10.22111/ijfs.2013.2705
2705
Persian-translation vol. 10, no. 3, June 2013
http://ijfs.usb.ac.ir/article_2705_a25aa8054af994783d70a20f9b71cfe4.pdf