2018-02-25T17:04:18Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=146
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
Cover vol. 10, no. 3, June 2013
2013
06
29
0
http://ijfs.usb.ac.ir/article_2704_51aafc18f0567f552ac9f68f7bf9771d.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
ON FUZZY NEIGHBORHOOD BASED CLUSTERING
ALGORITHM WITH LOW COMPLEXITY
Gozde
Ulutagay
Efendi
Nasibov
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
2013
06
30
1
20
http://ijfs.usb.ac.ir/article_806_29d29dbb033397c08126e891f30d1646.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED
SYSTEM WITH FUZZY INITIAL CONDITIONS
Marzieh
Najariyan
Mohamad Hadi
Farahi
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
2013
06
30
21
35
http://ijfs.usb.ac.ir/article_807_c58b5ba2cb1e2768a9c8c8fc759eb228.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
Erdinc.
Dundar
Ozer
Talo
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
2013
06
30
37
50
http://ijfs.usb.ac.ir/article_809_803b6897c706fdbec4081baf755af3ca.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE
FUZZY NORMED LINEAR SPACES
I.
Sadeqi
F.
Moradlou
M.
Salehi
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
2013
06
01
51
63
http://ijfs.usb.ac.ir/article_862_96b9bdd60ae0f69019dd773c9ce92817.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
ALGEBRAICALLY-TOPOLOGICAL SYSTEMS AND
ATTACHMENTS
Anna
Frascella
Cosimo
Guido
Sergey A.
Solovyov
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
2013
06
01
65
102
http://ijfs.usb.ac.ir/article_863_f7926f99d233d0b927339f4338ddbc5c.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
Preservation theorems in {L}ukasiewicz \model theory
Seyed-Mohammad
Bagheri
Morteza
Moniri
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
2013
06
01
103
113
http://ijfs.usb.ac.ir/article_864_4dc824201c1a83e208595fdce2760b02.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
NEW RESULTS ON THE EXISTING FUZZY DISTANCE
MEASURES
Saeid
Abbasbandy
Soheil
Salahshour
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
2013
06
01
115
124
http://ijfs.usb.ac.ir/article_865_f126130d163cdce4954709acbe123b64.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
representation theorems of $L-$subsets and $L-$families on complete residuated lattice
Hui
Han
Jinming
Fang
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
2013
06
01
125
136
http://ijfs.usb.ac.ir/article_866_34e66093d052f7fc3dc927be495d286b.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
Existence of Extremal Solutions for Impulsive Delay Fuzzy
Integrodifferential Equations in $n$-dimensional Fuzzy Vector Space
Young
Chel Kwun
Jeong Soon
Kim
Jin Han
Park
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
2013
06
01
137
157
http://ijfs.usb.ac.ir/article_867_92344978ee7caa723a34d804983d83c0.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
On fuzzy convex lattice-ordered subgroups
Mahmood
Bakhshi
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
2013
06
01
159
172
http://ijfs.usb.ac.ir/article_868_d0885d1f664c56b3166342279f5a2d45.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
3
Persian-translation vol. 10, no. 3, June 2013
2013
06
01
175
184
http://ijfs.usb.ac.ir/article_2705_a25aa8054af994783d70a20f9b71cfe4.pdf