Cover vol. 10, no. 3, June 2013
text
article
2013
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
0
http://ijfs.usb.ac.ir/article_2704_51aafc18f0567f552ac9f68f7bf9771d.pdf
dx.doi.org/10.22111/ijfs.2013.2704
ON FUZZY NEIGHBORHOOD BASED CLUSTERING
ALGORITHM WITH LOW COMPLEXITY
Gozde
Ulutagay
Department of Industrial Engineering, Izmir University, Gursel
Aksel Blv 14, Uckuyular, Izmir, Turkey
author
Efendi
Nasibov
Department of Computer Science, Dokuz Eylul University, Izmir,
35160, Turkey, Institute of Cybernetics, Azerbaijan National Academy of Sciences,
Azerbaijan
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
1
20
http://ijfs.usb.ac.ir/article_806_29d29dbb033397c08126e891f30d1646.pdf
dx.doi.org/10.22111/ijfs.2013.806
OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED
SYSTEM WITH FUZZY INITIAL CONDITIONS
Marzieh
Najariyan
Department of Applied Mathematics, Ferdowsi University of
Mashhad, Mashhad, Iran
author
Mohamad Hadi
Farahi
Department of Applied Mathematics, Ferdowsi University of
Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control
Systems (CEMCS)
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
21
35
http://ijfs.usb.ac.ir/article_807_c58b5ba2cb1e2768a9c8c8fc759eb228.pdf
dx.doi.org/10.22111/ijfs.2013.807
$\mathcal{I}_2$-convergence of double sequences of\\ fuzzy numbers
Erdinc.
Dundar
Department of Mathematics, Afyon Kocatepe University, 03200
Afyonkarahisarn,Turkey
author
Ozer
Talo
Department of Mathematics, Celal Bayar University, 45040 Manisa,
Turkey
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
37
50
http://ijfs.usb.ac.ir/article_809_803b6897c706fdbec4081baf755af3ca.pdf
dx.doi.org/10.22111/ijfs.2013.809
ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES
I.
Sadeqi
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
author
F.
Moradlou
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
author
M.
Salehi
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
51
63
http://ijfs.usb.ac.ir/article_862_96b9bdd60ae0f69019dd773c9ce92817.pdf
dx.doi.org/10.22111/ijfs.2013.862
ALGEBRAICALLY-TOPOLOGICAL SYSTEMS AND
ATTACHMENTS
Anna
Frascella
Department of Mathematics \E. De Giorgi", University of Salento,
P. O. Box 193, 73100 Lecce, Italy
author
Cosimo
Guido
Department of Mathematics \E. De Giorgi", University of Salento,
P. O. Box 193, 73100 Lecce, Italy
author
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
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
65
102
http://ijfs.usb.ac.ir/article_863_f7926f99d233d0b927339f4338ddbc5c.pdf
dx.doi.org/10.22111/ijfs.2013.863
Preservation theorems in {\L}ukasiewicz \\model theory
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
author
Morteza
Moniri
Department of Mathematics, Shahid Beheshti University, G. C.,
Evin, Tehran, Iran
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
103
113
http://ijfs.usb.ac.ir/article_864_4dc824201c1a83e208595fdce2760b02.pdf
dx.doi.org/10.22111/ijfs.2013.864
NEW RESULTS ON THE EXISTING FUZZY DISTANCE
MEASURES
Saeid
Abbasbandy
Department of Mathematics, Imam Khomeini International Uni-
versity, Ghazvin, 34149-16818, Iran
author
Soheil
Salahshour
Young Researchers and Elite Club, Mobarakeh Branch, Islamic
Azad University, Mobarakeh, Iran
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
115
124
http://ijfs.usb.ac.ir/article_865_f126130d163cdce4954709acbe123b64.pdf
dx.doi.org/10.22111/ijfs.2013.865
representation theorems of $L-$subsets and $L-$families on complete residuated lattice
Hui
Han
Department of Mathematics, Ocean University of China, 266100 Qingdao,
P.R. China
author
Jinming
Fang
Department of Mathematics, Ocean University of China, 266100 Qing-
dao, P.R. China
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
125
136
http://ijfs.usb.ac.ir/article_866_34e66093d052f7fc3dc927be495d286b.pdf
dx.doi.org/10.22111/ijfs.2013.866
Existence of Extremal Solutions for Impulsive Delay Fuzzy
Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space
Young
Chel Kwun
Department of Mathematics, Dong-A University, Busan 604-714,
Republic of Korea
author
Jeong Soon
Kim
Department of Math. Education, Daegu-University, Gyeongsan 712-
714, Republic of Korea
author
Jin Han
Park
Department of Applied Mathematics, Pukyong National University,
Buan 608-737, Republic of Korea
author
text
article
2013
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
137
157
http://ijfs.usb.ac.ir/article_867_92344978ee7caa723a34d804983d83c0.pdf
dx.doi.org/10.22111/ijfs.2013.867
On fuzzy convex lattice-ordered subgroups
Mahmood
Bakhshi
Department of Mathematics, Bojnord University, Bojnord, Iran
author
text
article
2013
eng
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 $G$.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
159
172
http://ijfs.usb.ac.ir/article_868_d0885d1f664c56b3166342279f5a2d45.pdf
dx.doi.org/10.22111/ijfs.2013.868
Persian-translation vol. 10, no. 3, June 2013
text
article
2013
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
10
v.
3
no.
2013
175
184
http://ijfs.usb.ac.ir/article_2705_a25aa8054af994783d70a20f9b71cfe4.pdf
dx.doi.org/10.22111/ijfs.2013.2705