University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
29
Cover vol. 10, no. 3, June 2013
0
EN
10.22111/ijfs.2013.2704
http://ijfs.usb.ac.ir/article_2704.html
http://ijfs.usb.ac.ir/article_2704_51aafc18f0567f552ac9f68f7bf9771d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
30
ON FUZZY NEIGHBORHOOD BASED CLUSTERING
ALGORITHM WITH LOW COMPLEXITY
1
20
EN
Gozde
Ulutagay
Department of Industrial Engineering, Izmir University, Gursel
Aksel Blv 14, Uckuyular, Izmir, Turkey
gozde.ulutagay@izmir.edu.tr
Efendi
Nasibov
Department of Computer Science, Dokuz Eylul University, Izmir,
35160, Turkey, Institute of Cybernetics, Azerbaijan National Academy of Sciences,
Azerbaijan
efendi nasibov@yahoo.com
10.22111/ijfs.2013.806
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.
Clustering,Fuzzy neighborhood relation,Complexity,Modied FJP
http://ijfs.usb.ac.ir/article_806.html
http://ijfs.usb.ac.ir/article_806_29d29dbb033397c08126e891f30d1646.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
30
OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED
SYSTEM WITH FUZZY INITIAL CONDITIONS
21
35
EN
Marzieh
Najariyan
Department of Applied Mathematics, Ferdowsi University of
Mashhad, Mashhad, Iran
marzieh.najariyan@gmail.com
Mohamad Hadi
Farahi
Department of Applied Mathematics, Ferdowsi University of
Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control
Systems (CEMCS)
farahi@math.um.ac.ir
10.22111/ijfs.2013.807
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.
Fuzzy linear controlled system,Optimal fuzzy controlled system,PMP
http://ijfs.usb.ac.ir/article_807.html
http://ijfs.usb.ac.ir/article_807_c58b5ba2cb1e2768a9c8c8fc759eb228.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
30
$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
37
50
EN
Erdinc.
Dundar
Department of Mathematics, Afyon Kocatepe University, 03200
Afyonkarahisarn,Turkey
erdincdundar79@gmail.com
Ozer
Talo
Department of Mathematics, Celal Bayar University, 45040 Manisa,
Turkey
ozertalo@hotmail.com
10.22111/ijfs.2013.809
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.
Ideal,Double sequences,$\mathcal{I}$-Convergence,Fuzzy number sequences
http://ijfs.usb.ac.ir/article_809.html
http://ijfs.usb.ac.ir/article_809_803b6897c706fdbec4081baf755af3ca.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES
51
63
EN
I.
Sadeqi
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
esadeqi@sut.ac.ir
F.
Moradlou
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
moradlou@sut.ac.ir
M.
Salehi
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
mit-paydar@yahoo.com
10.22111/ijfs.2013.862
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.
Fuzzy real number,Fuzzy normed space,Hyers-Ulam-Rassias
stability
http://ijfs.usb.ac.ir/article_862.html
http://ijfs.usb.ac.ir/article_862_96b9bdd60ae0f69019dd773c9ce92817.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
ALGEBRAICALLY-TOPOLOGICAL SYSTEMS AND
ATTACHMENTS
65
102
EN
Anna
Frascella
Department of Mathematics \E. De Giorgi", University of Salento,
P. O. Box 193, 73100 Lecce, Italy
frascella anna@libero.it
Cosimo
Guido
Department of Mathematics \E. De Giorgi", University of Salento,
P. O. Box 193, 73100 Lecce, Italy
cosimo.guido@unisalento.it
Sergey A.
Solovyov
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
solovjovs@fme.vutbr.cz
10.22111/ijfs.2013.863
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 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.
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
http://ijfs.usb.ac.ir/article_863.html
http://ijfs.usb.ac.ir/article_863_f7926f99d233d0b927339f4338ddbc5c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
Preservation theorems in {L}ukasiewicz \model theory
103
113
EN
Seyed-Mohammad
Bagheri
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
bagheri@modares.ac.ir
Morteza
Moniri
Department of Mathematics, Shahid Beheshti University, G. C.,
Evin, Tehran, Iran
m-moniri@sbu.ac.ir, ezmoniri@gmail.com
10.22111/ijfs.2013.864
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.
Continuous model theory,{\L}ukasiewicz logic,Preservation theorems
http://ijfs.usb.ac.ir/article_864.html
http://ijfs.usb.ac.ir/article_864_4dc824201c1a83e208595fdce2760b02.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
NEW RESULTS ON THE EXISTING FUZZY DISTANCE
MEASURES
115
124
EN
Saeid
Abbasbandy
Department of Mathematics, Imam Khomeini International Uni-
versity, Ghazvin, 34149-16818, Iran
abbasbandy@yahoo.com
Soheil
Salahshour
Young Researchers and Elite Club, Mobarakeh Branch, Islamic
Azad University, Mobarakeh, Iran
soheilsalahshour@yahoo.com
10.22111/ijfs.2013.865
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.
Fuzzy distance measure,Metric properties,Fuzzy numbers
http://ijfs.usb.ac.ir/article_865.html
http://ijfs.usb.ac.ir/article_865_f126130d163cdce4954709acbe123b64.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
representation theorems of $L-$subsets and $L-$families on complete residuated lattice
125
136
EN
Hui
Han
Department of Mathematics, Ocean University of China, 266100 Qingdao,
P.R. China
hanhui200801@163.com
Jinming
Fang
Department of Mathematics, Ocean University of China, 266100 Qing-
dao, P.R. China
jinming-fang@163.com
10.22111/ijfs.2013.866
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.
Complete residuated lattices,$L-$subsets,$L-$nested systems,$L-$families,Level $L-$subsets,Representation theorems
http://ijfs.usb.ac.ir/article_866.html
http://ijfs.usb.ac.ir/article_866_34e66093d052f7fc3dc927be495d286b.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
Existence of Extremal Solutions for Impulsive Delay Fuzzy
Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space
137
157
EN
Young
Chel Kwun
Department of Mathematics, Dong-A University, Busan 604-714,
Republic of Korea
yckwun@dau.ac.kr
Jeong Soon
Kim
Department of Math. Education, Daegu-University, Gyeongsan 712-
714, Republic of Korea
jeskim@donga.ac.kr
Jin Han
Park
Department of Applied Mathematics, Pukyong National University,
Buan 608-737, Republic of Korea
jihpark@pknu.ac.kr
10.22111/ijfs.2013.867
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.
Extremal solution,Impulsive delay fuzzy
integrodifferential equation,$n$-dimensional fuzzy vector space,Monotone method
http://ijfs.usb.ac.ir/article_867.html
http://ijfs.usb.ac.ir/article_867_92344978ee7caa723a34d804983d83c0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
On fuzzy convex lattice-ordered subgroups
159
172
EN
Mahmood
Bakhshi
Department of Mathematics, Bojnord University, Bojnord, Iran
bakhshi@ub.ac.ir
10.22111/ijfs.2013.868
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 $G$.
Lattice-ordered group,Convex subgroup,Fuzzy convex subgroup
http://ijfs.usb.ac.ir/article_868.html
http://ijfs.usb.ac.ir/article_868_d0885d1f664c56b3166342279f5a2d45.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
3
2013
06
01
Persian-translation vol. 10, no. 3, June 2013
175
184
EN
10.22111/ijfs.2013.2705
http://ijfs.usb.ac.ir/article_2705.html
http://ijfs.usb.ac.ir/article_2705_a25aa8054af994783d70a20f9b71cfe4.pdf