eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-29
10
4
0
10.22111/ijfs.2013.2702
2702
Cover vol. 10, no. 4, August 2013
http://ijfs.usb.ac.ir/article_2702_99efa3e49c686546b61fa0566229c736.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
1
18
10.22111/ijfs.2013.1044
1044
مقاله پژوهشی
FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
Branka Budimirovic
budimirovic@sbb.rs
1
Vjekoslav Budimirovic
vjekoslav@sbb.rs
2
Branimir Seselja
seselja@dmi.uns.ac.rs
3
Andreja Tepavcevic
andreja@dmi.uns.ac.rs
4
College for professional studies for teachers, Sabac, Serbia
College for professional studies for teachers,Sabac, Mega- trend University, Beograd, Serbia
Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
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.
http://ijfs.usb.ac.ir/article_1044_5bf147df0d55bc4694ac6bbeda53de19.pdf
fuzzy algebra
Fuzzy identity
Fuzzy equality
Fuzzy homomorphism
Fuzzy direct product
Fuzzy equational class
Fuzzy variety
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
19
39
10.22111/ijfs.2013.1045
1045
مقاله پژوهشی
A NEW ANALYTICAL METHOD FOR SOLVING FUZZY
DIFFERENTIAL EQUATIONS
Sneh Lata
sneh.thaparian@gmail.com
1
Amit Kumar
amit_rs_iitr@yahoo.com
2
School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India
School of Mathematics and Computer Applications, Thapar Univer- sity, Patiala, 147004, India
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.
http://ijfs.usb.ac.ir/article_1045_19ca648c74a2fc774382d2e48acd7f46.pdf
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
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
41
55
10.22111/ijfs.2013.1046
1046
مقاله پژوهشی
A QUADRATIC MARGIN-BASED MODEL FOR WEIGHTING
FUZZY CLASSIFICATION RULES INSPIRED BY
SUPPORT VECTOR MACHINES
Mohammad Taheri
mtaheri@cse.shirazu.ac.ir
1
Hamid Azad
azad@shirazu.ac.ir
2
Koorush Ziarati
koorush@ziarati.net
3
Reza Sanaye
reza_sanaye@cse.shirazu.ac.ir
4
Department of Computer Science & Engineering & IT, Shiraz University, Shiraz, Fars, Iran
Department of Electrical Engineering, Science & Research Branch, Islamic Azad University, Marvdasht, Fars, Iran
Department of Computer Science & Engineering & IT, Shiraz Uni- versity, Shiraz, Fars, Iran
Department of Computer Science & Engineering & IT, Shiraz Univer- sity, Shiraz, Fars, Iran
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.
http://ijfs.usb.ac.ir/article_1046_d68480fb8f7424785567ae239c3b8c1f.pdf
Classification algorithms
Fuzzy systems
Margin maximization
Rule weighting
Support vector machines
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
57
66
10.22111/ijfs.2013.1047
1047
مقاله پژوهشی
A FUZZY VERSION OF HAHN-BANACH EXTENSION
THEOREM
Lemnaouar Zedam
l.zedam@yahoo.fr
1
Department of Mathematics, Faculty of Mathematics and Infor- matics, M'sila University, P.O.Box 166 Ichbilia, M'sila 28105, Algeria
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.
http://ijfs.usb.ac.ir/article_1047_6f01cbbc6ed90736a824b919e23e71ea.pdf
Fuzzy order
$r$-fuzzy bounded linear functional
$r$-fuzzy norm
$r$-fuzzy Hahn-Banach theorem
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
67
81
10.22111/ijfs.2013.1048
1048
مقاله پژوهشی
APPLICATION OF PREFERENCE RANKING ORGANIZATION
METHOD FOR ENRICHMENT EVALUATION METHOD IN
ENERGY PLANNING - REGIONAL LEVEL
Ali Khatami Firouzabadi
a.khatami@atu.ac.ir
1
Elham Ghazimatin
elham_g_matin@yahoo.com
2
Allameh Tabatabai University Business School (ATUBS), Tehran, Iran
Allameh Tabatabai University Business School (ATUBS), Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_1048_0826d101d0d58b1c90b8d57a84b98c2a.pdf
renewable energy
Criteria
Alternative
Interval PROMETHEE
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
83
99
10.22111/ijfs.2013.1049
1049
مقاله پژوهشی
BILEVEL LINEAR PROGRAMMING WITH FUZZY
PARAMETERS
Farhad Hamidi
f_hamidi@math.usb.ac.ir
1
Hassan Mishmast Nehi
2
Faculty of Mathematics, University of Sistan and Baluchestan, Za- hedan, Iran
Faculty of Mathematics, University of Sistan and Baluches- tan, Zahedan, Iran
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.
http://ijfs.usb.ac.ir/article_1049_ea3a6b10b91389312401925e157f02f1.pdf
Fuzzy numbers
Interval numbers
Bilevel programming
Hierarchical optimization
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
101
117
10.22111/ijfs.2013.1050
1050
مقاله پژوهشی
REVISION OF SIGN DISTANCE METHOD FOR RANKING OF
FUZZY NUMBERS
Saeid Abbasbandy
abbasbandy@yahoo.com
1
Rahele Nuraei
rahele.nuraei@gmail.com
2
Mojtaba Ghanbari
mojtaba.ghanbari@gmail.com
3
Department of Mathematics, Science and Research Branch, Is- lamic Azad University, Tehran, Iran
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
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.
http://ijfs.usb.ac.ir/article_1050_d7587245fb5d8d53172fb34ab4af5903.pdf
Fuzzy number
Ranking of fuzzy numbers
Sign distance
method
Revised sign distance method
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-29
10
4
119
124
10.22111/ijfs.2013.1051
1051
مقاله پژوهشی
A NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S
QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES
Yueli Yue
yueliyue@163.com
1
Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China
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.
http://ijfs.usb.ac.ir/article_1051_859cc3d9ab5fa5d64a48a31360c11d47.pdf
Hutton's quasi-uniformity
Shi's quasi-uniformity
Reflective category
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
125
133
10.22111/ijfs.2013.1052
1052
مقاله پژوهشی
Fixed point theory for cyclic $varphi$-contractions in fuzzy metric spaces
Yong-hong Shen
shenyonghong2008@hotmail.com
1
Dong Qiu
qiudong@cqupt.edu.cn
2
Wei Chen
chenwei@cueb.edu.cn
3
School of Mathematics and Statistics, Tianshui Normal Univer- sity, Tianshui 741001, People's Republic of China
College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, People's Republic of China
School of Information, Capital University of Economics and Business, Beijing, 100070, People's Republic of China
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.
http://ijfs.usb.ac.ir/article_1052_bef858d33cac8adb4eaaa9d48f565200.pdf
Cyclic representation
Cyclic $varphi$-contraction
Fixed
point
G-Cauchy sequence
G-complete fuzzy metric space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-30
10
4
135
142
10.22111/ijfs.2013.1053
1053
مقاله پژوهشی
A NOTE ON STRATIFIED LM-FILTERS
Gunther Jager
g.jager@ru.ac.za, gunther.jaeger@fh-stralsund.de
1
Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa
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.
http://ijfs.usb.ac.ir/article_1053_bbbafd70cc3b4630872740fb08f87199.pdf
$LM$-filter
Stratification
Stratified $LMN$-convergence space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-08-29
10
4
145
154
10.22111/ijfs.2013.2703
2703
Persian-translation vol. 10, no. 4, August 2013
http://ijfs.usb.ac.ir/article_2703_97ce0f4e1afc4df47711a69afdb96ec2.pdf