2018-12-15T18:03:20Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=192
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
Cover vol. 10, no. 4, August 2013
2013
08
29
0
http://ijfs.usb.ac.ir/article_2702_99efa3e49c686546b61fa0566229c736.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
Branka
Budimirovic
Vjekoslav
Budimirovic
Branimir
Seselja
Andreja
Tepavcevic
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
2013
08
30
1
18
http://ijfs.usb.ac.ir/article_1044_5bf147df0d55bc4694ac6bbeda53de19.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
A NEW ANALYTICAL METHOD FOR SOLVING FUZZY
DIFFERENTIAL EQUATIONS
Sneh
Lata
Amit
Kumar
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
2013
08
30
19
39
http://ijfs.usb.ac.ir/article_1045_19ca648c74a2fc774382d2e48acd7f46.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
A QUADRATIC MARGIN-BASED MODEL FOR WEIGHTING
FUZZY CLASSIFICATION RULES INSPIRED BY
SUPPORT VECTOR MACHINES
Mohammad
Taheri
Hamid
Azad
Koorush
Ziarati
Reza
Sanaye
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
2013
08
30
41
55
http://ijfs.usb.ac.ir/article_1046_d68480fb8f7424785567ae239c3b8c1f.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
A FUZZY VERSION OF HAHN-BANACH EXTENSION
THEOREM
Lemnaouar
Zedam
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
2013
08
30
57
66
http://ijfs.usb.ac.ir/article_1047_6f01cbbc6ed90736a824b919e23e71ea.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
APPLICATION OF PREFERENCE RANKING ORGANIZATION
METHOD FOR ENRICHMENT EVALUATION METHOD IN
ENERGY PLANNING - REGIONAL LEVEL
Ali
Khatami Firouzabadi
Elham
Ghazimatin
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
2013
08
30
67
81
http://ijfs.usb.ac.ir/article_1048_0826d101d0d58b1c90b8d57a84b98c2a.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
BILEVEL LINEAR PROGRAMMING WITH FUZZY
PARAMETERS
Farhad
Hamidi
Hassan
Mishmast Nehi
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
2013
08
30
83
99
http://ijfs.usb.ac.ir/article_1049_ea3a6b10b91389312401925e157f02f1.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
REVISION OF SIGN DISTANCE METHOD FOR RANKING OF
FUZZY NUMBERS
Saeid
Abbasbandy
Rahele
Nuraei
Mojtaba
Ghanbari
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
2013
08
30
101
117
http://ijfs.usb.ac.ir/article_1050_d7587245fb5d8d53172fb34ab4af5903.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
A NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S
QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES
Yueli
Yue
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
2013
08
29
119
124
http://ijfs.usb.ac.ir/article_1051_859cc3d9ab5fa5d64a48a31360c11d47.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
Fixed point theory for cyclic $varphi$-contractions in fuzzy metric spaces
Yong-hong
Shen
Dong
Qiu
Wei
Chen
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
2013
08
30
125
133
http://ijfs.usb.ac.ir/article_1052_bef858d33cac8adb4eaaa9d48f565200.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
A NOTE ON STRATIFIED LM-FILTERS
Gunther
Jager
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
2013
08
30
135
142
http://ijfs.usb.ac.ir/article_1053_bbbafd70cc3b4630872740fb08f87199.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2013
10
4
Persian-translation vol. 10, no. 4, August 2013
2013
08
29
145
154
http://ijfs.usb.ac.ir/article_2703_97ce0f4e1afc4df47711a69afdb96ec2.pdf