University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
29
Cover vol. 10, no. 4, August 2013
0
EN
10.22111/ijfs.2013.2702
http://ijfs.usb.ac.ir/article_2702.html
http://ijfs.usb.ac.ir/article_2702_99efa3e49c686546b61fa0566229c736.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
1
18
EN
Branka
Budimirovic
College for professional studies for teachers, Sabac, Serbia
budimirovic@sbb.rs
Vjekoslav
Budimirovic
College for professional studies for teachers,Sabac, Mega-
trend University, Beograd, Serbia
vjekoslav@sbb.rs
Branimir
Seselja
Department of Mathematics and Informatics, University of Novi
Sad, Novi Sad, Serbia
seselja@dmi.uns.ac.rs
Andreja
Tepavcevic
Department of Mathematics and Informatics, University of
Novi Sad, Novi Sad, Serbia
andreja@dmi.uns.ac.rs
10.22111/ijfs.2013.1044
In the framework of fuzzy algebras with fuzzy equalities and acomplete lattice as a structure of membership values, we investigate fuzzyequational classes. They consist of special fuzzy algebras fullling the samefuzzy identities, dened with respect to fuzzy equalities. We introduce basicnotions and the corresponding operators of universal algebra: construction offuzzy subalgebras, homomorphisms and direct products. We prove that everyfuzzy equational class is closed under these three operators, which means thatsuch a class is a fuzzy variety.
fuzzy algebra,Fuzzy identity,Fuzzy equality,Fuzzy homomorphism,Fuzzy direct product,Fuzzy equational class,Fuzzy variety
http://ijfs.usb.ac.ir/article_1044.html
http://ijfs.usb.ac.ir/article_1044_5bf147df0d55bc4694ac6bbeda53de19.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
A NEW ANALYTICAL METHOD FOR SOLVING FUZZY
DIFFERENTIAL EQUATIONS
19
39
EN
Sneh
Lata
School of Mathematics and Computer Applications, Thapar University,
Patiala, 147004, India
sneh.thaparian@gmail.com
Amit
Kumar
School of Mathematics and Computer Applications, Thapar Univer-
sity, Patiala, 147004, India
amit_rs_iitr@yahoo.com
10.22111/ijfs.2013.1045
In the literature, several numerical methods are proposed for solvingnth-order fuzzy linear differential equations. However, till now there areonly two analytical methods for the same. In this paper, the fuzzy Kolmogorov'sdifferential equations, obtained with the help of fuzzy Markov modelof piston manufacturing system, are solved by one of these analytical methodsand illustrated that the obtained solution does not represent a fuzzy number.To resolve the drawback of existing method, a new analytical method is proposedfor solving nth-order fuzzy linear differential equations. Furthermore,the advantage of proposed method over existing method is also discussed.
Fuzzy differential equations,Fuzzy Kolmogorov's differential equations,LR
flat fuzzy number,JMD LR
flat fuzzy number,Fuzzy reliability,Fuzzy Markov model,Piston manufacturing system
http://ijfs.usb.ac.ir/article_1045.html
http://ijfs.usb.ac.ir/article_1045_19ca648c74a2fc774382d2e48acd7f46.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
A QUADRATIC MARGIN-BASED MODEL FOR WEIGHTING
FUZZY CLASSIFICATION RULES INSPIRED BY
SUPPORT VECTOR MACHINES
41
55
EN
Mohammad
Taheri
Department of Computer Science & Engineering & IT, Shiraz
University, Shiraz, Fars, Iran
mtaheri@cse.shirazu.ac.ir
Hamid
Azad
Department of Electrical Engineering, Science & Research Branch,
Islamic Azad University, Marvdasht, Fars, Iran
azad@shirazu.ac.ir
Koorush
Ziarati
Department of Computer Science & Engineering & IT, Shiraz Uni-
versity, Shiraz, Fars, Iran
koorush@ziarati.net
Reza
Sanaye
Department of Computer Science & Engineering & IT, Shiraz Univer-
sity, Shiraz, Fars, Iran
reza_sanaye@cse.shirazu.ac.ir
10.22111/ijfs.2013.1046
Recently, tuning the weights of the rules in Fuzzy Rule-Base Classification Systems is researched in order to improve the accuracy of classification. In this paper, a margin-based optimization model, inspired by Support Vector Machine classifiers, is proposed to compute these fuzzy rule weights. This approach not only considers both accuracy and generalization criteria in a single objective function, but also is independent of any order in presenting data patterns or fuzzy rules. It has a global optimum solution and needs only one regularization parameter C to be adjusted. In addition, a rule reduction method is proposed to eliminating low weighted rules and having a compact rule-base. This method is compared with some greedy, reinforcement and local search rule weighting methods on 13 standard datasets. The experimental results show that, the proposed method significantly outperforms the other ones especially from the viewpoint of generalization.
Classification algorithms,Fuzzy systems,Margin maximization,Rule weighting,Support vector machines
http://ijfs.usb.ac.ir/article_1046.html
http://ijfs.usb.ac.ir/article_1046_d68480fb8f7424785567ae239c3b8c1f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
A FUZZY VERSION OF HAHN-BANACH EXTENSION
THEOREM
57
66
EN
Lemnaouar
Zedam
Department of Mathematics, Faculty of Mathematics and Infor-
matics, M'sila University, P.O.Box 166 Ichbilia, M'sila 28105, Algeria
l.zedam@yahoo.fr
10.22111/ijfs.2013.1047
In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.
Fuzzy order,$r$-fuzzy bounded linear functional,$r$-fuzzy norm,$r$-fuzzy Hahn-Banach theorem
http://ijfs.usb.ac.ir/article_1047.html
http://ijfs.usb.ac.ir/article_1047_6f01cbbc6ed90736a824b919e23e71ea.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
APPLICATION OF PREFERENCE RANKING ORGANIZATION
METHOD FOR ENRICHMENT EVALUATION METHOD IN
ENERGY PLANNING - REGIONAL LEVEL
67
81
EN
Ali
Khatami Firouzabadi
Allameh Tabatabai University Business School (ATUBS),
Tehran, Iran
a.khatami@atu.ac.ir
Elham
Ghazimatin
Allameh Tabatabai University Business School (ATUBS), Tehran,
Iran
elham_g_matin@yahoo.com
10.22111/ijfs.2013.1048
Nowadays energy is one of the most essential needs of human being and it can be considered as the basic prerequisite of social and economic development. Hence, many of the correlations and legislations of a country are affected by it. Since Iran has huge source of gas and oil, it has turned to a fossil fuel oriented county. But as oil and gas sources are non-renewable ones and cannot be replaced, it is essential for every country to focus on Renewable Energy Sources (RES). So today is the time of studying and investing on RES to be able to exploit them in the time of oil and gas crisis. In the past, the choice among alternative sources was based on the cost minimization, but ranking the RES optionsâ€™ is a complex task. The objective of this paper is determining the best renewable energy alternative for Sistan & Baluchestan province of Iran by using interval Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE) method. In the application of the proposed methodology the most appropriate renewable energy alternative is determined fuel cell and biomass for the mentioned province.
Renewable energy,Criteria,Alternative,Interval PROMETHEE
http://ijfs.usb.ac.ir/article_1048.html
http://ijfs.usb.ac.ir/article_1048_0826d101d0d58b1c90b8d57a84b98c2a.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
BILEVEL LINEAR PROGRAMMING WITH FUZZY
PARAMETERS
83
99
EN
Farhad
Hamidi
Faculty of Mathematics, University of Sistan and Baluchestan, Za-
hedan, Iran
f_hamidi@math.usb.ac.ir
Hassan
Mishmast Nehi
Faculty of Mathematics, University of Sistan and Baluches-
tan, Zahedan, Iran
10.22111/ijfs.2013.1049
Bilevel linear programming is a decision making problem with a two-level decentralized organization. The textquotedblleft leadertextquotedblright~ is in the upper level and the textquotedblleft followertextquotedblright, in the lower. Making a decision at one level affects that at the other one. In this paper, bilevel linear programming with inexact parameters has been studied and a method is proposed to solve a fuzzy bilevel linear programming using interval bilevel linear programming.
Fuzzy numbers,Interval numbers,Bilevel programming,Hierarchical optimization
http://ijfs.usb.ac.ir/article_1049.html
http://ijfs.usb.ac.ir/article_1049_ea3a6b10b91389312401925e157f02f1.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
REVISION OF SIGN DISTANCE METHOD FOR RANKING OF
FUZZY NUMBERS
101
117
EN
Saeid
Abbasbandy
Department of Mathematics, Science and Research Branch, Is-
lamic Azad University, Tehran, Iran
abbasbandy@yahoo.com
Rahele
Nuraei
Department of Mathematics, South Tehran Branch, Islamic Azad
University, Tehran, Iran
rahele.nuraei@gmail.com
Mojtaba
Ghanbari
0000-0003-4790-769X
Department of Mathematics, Aliabad Katoul Branch, Islamic
Azad University, Aliabad Katoul, Iran
mojtaba.ghanbari@gmail.com
10.22111/ijfs.2013.1050
Recently, Abbasbandy and Asady have been proposed a modificationof the distance based approach, namely ``sign distance method''.However, in this paper, it is shown that this method has some drawbacks, i.e.,the result is not consistent with human intuition for specialcases and this method cannot always logically infer rankingorder of the images of the fuzzy numbers. In this paper, wepresent a revised method which can avoid these problems forranking fuzzy numbers. Also, we present several propertiesfor revised sign distance method while the original method does not have some ofthem.
Fuzzy number,Ranking of fuzzy numbers,Sign distance
method,Revised sign distance method
http://ijfs.usb.ac.ir/article_1050.html
http://ijfs.usb.ac.ir/article_1050_d7587245fb5d8d53172fb34ab4af5903.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
29
A NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S
QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES
119
124
EN
Yueli
Yue
Department of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.China
yueliyue@163.com
10.22111/ijfs.2013.1051
This note studies the relationship between Hutton's quasi-uniformities and Shi's quasi-uniformities. It is shown that when $L$ satisfies``multiple choice principle" for co-prime elements, the category of Hutton's quasi-uniform spaces is a bireflective full subcategory of the category of Shi's quasi-uniform spaces. Especially, if the remote-neighborhood mapping defined by Shi preserves arbitrary joins, then the two categories are isomorphic to each other.
Hutton's quasi-uniformity,Shi's quasi-uniformity,Reflective category
http://ijfs.usb.ac.ir/article_1051.html
http://ijfs.usb.ac.ir/article_1051_859cc3d9ab5fa5d64a48a31360c11d47.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
Fixed point theory for cyclic $varphi$-contractions in fuzzy metric spaces
125
133
EN
Yong-hong
Shen
School of Mathematics and Statistics, Tianshui Normal Univer-
sity, Tianshui 741001, People's Republic of China
shenyonghong2008@hotmail.com
Dong
Qiu
College of Mathematics and Physics, Chongqing University of Posts and
Telecommunications, Chongqing 400065, People's Republic of China
qiudong@cqupt.edu.cn
Wei
Chen
School of Information, Capital University of Economics and Business,
Beijing, 100070, People's Republic of China
chenwei@cueb.edu.cn
10.22111/ijfs.2013.1052
In this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. Meantime, an example is provided toillustrate this theorem. The main result shows that a self-mappingon a G-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. Afterwards, some results inconnection with the fixed point are given.
Cyclic representation,Cyclic $\varphi$-contraction,Fixed
point,G-Cauchy sequence,G-complete fuzzy metric space
http://ijfs.usb.ac.ir/article_1052.html
http://ijfs.usb.ac.ir/article_1052_bef858d33cac8adb4eaaa9d48f565200.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
30
A NOTE ON STRATIFIED LM-FILTERS
135
142
EN
Gunther
Jager
Department of Statistics, Rhodes University, 6140 Grahamstown,
South Africa
g.jager@ru.ac.za, gunther.jaeger@fh-stralsund.de
10.22111/ijfs.2013.1053
We develop a theory of stratified $LM$-filters which generalizes the theory of stratified $L$-filters. Our stratification condition explicitly depends on a suitable mapping between the lattices $L$ and $M$. If $L$ and $M$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $L$-filters. Based on the stratified $LM$-filters, a general theory of lattice-valued convergence spaces can be developed.
$LM$-filter,Stratification,Stratified $LMN$-convergence space
http://ijfs.usb.ac.ir/article_1053.html
http://ijfs.usb.ac.ir/article_1053_bbbafd70cc3b4630872740fb08f87199.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
4
2013
08
29
Persian-translation vol. 10, no. 4, August 2013
145
154
EN
10.22111/ijfs.2013.2703
http://ijfs.usb.ac.ir/article_2703.html
http://ijfs.usb.ac.ir/article_2703_97ce0f4e1afc4df47711a69afdb96ec2.pdf