University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
03
02
Cover Vol.7, No.1, February 2010
0
EN
10.22111/ijfs.2010.2882
http://ijfs.usb.ac.ir/article_2882.html
http://ijfs.usb.ac.ir/article_2882_805c73a895fae89f104edbd1129a9be3.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
04
AN INTELLIGENT INFORMATION SYSTEM FOR FUZZY ADDITIVE MODELLING
(HYDROLOGICAL RISK APPLICATION)
1
14
EN
L
Iliadis
Department of Forestry, Management of the Environment & Natural
Resources, Democritus University of Thrace, 193 Padazidou st., 68200, N. Orestiada,
Greece
liliadis@fmenr.duth.gr
S
Spartalis
Department of Production Engineering & Management, School of Engineering,
Democritus University of Thrace, University Library Building, 67100Xanthi,
Greece
sspart@pme.duth.gr
10.22111/ijfs.2010.157
In this paper we propose and construct Fuzzy Algebraic Additive Model, for the estimation of risk in various fields of human activities or nature’s behavior. Though the proposed model is useful in a wide range of scientific fields, it was designed for to torrential risk evaluation in the area of river Evros. Clearly the model’s performance improves when the number of parameters and the actual data increases. A Fuzzy Decision Support System was designed and implemented to incorporate the model’s risk estimation capacity and the risk estimation output of the system was compared with the output of other existing methods with very interesting results.
Fuzzy additive models,fuzzy algebra,Decision support system,Torrential risk
http://ijfs.usb.ac.ir/article_157.html
http://ijfs.usb.ac.ir/article_157_4505a193f72c5619791b6d85f1248951.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
05
SUBCLASS FUZZY-SVM CLASSIFIER AS AN EFFICIENT
METHOD TO ENHANCE THE MASS DETECTION IN
MAMMOGRAMS
15
31
EN
Fatemeh
Moayedi
Reza Boostani, Ali Reza Kazemi and Serajodin Katebi, Vision and
Image Processing Laboratory, School of Electrical and Computer Engineering, Shiraz
University, Shiraz, Iran
moayyedi,boostani,kazemi,katebi@cse.shirazu.ac.ir
Ebrahim
Dashti
Board of Science, Azad Universitiy Branch of Jahrom, Iran
sayed.dashti@jia.ac.ir
10.22111/ijfs.2010.158
This paper is concerned with the development of a novel classifier
for automatic mass detection of mammograms, based on contourlet feature
extraction in conjunction with statistical and fuzzy classifiers. In this method,
mammograms are segmented into regions of interest (ROI) in order to extract
features including geometrical and contourlet coefficients. The extracted features
benefit from the superiority of the contourlet method to the state of the
art multi-scale techniques. A genetic algorithm is applied for feature weighting
with the objective of increasing classification accuracy. Although fuzzy classifiers
are interpretable, the majority are order sensitive and suffer from the
lack of generalization. In this study, a kernel SVM is integrated with a nerofuzzy
rule-based classifier to form a support vector based fuzzy neural network
( SVFNN). This classifier benefits from the superior classification power of
SVM in high dimensional data spaces and also from the efficient human-like
reasoning of fuzzy and neural networks in handling uncertainty information.
We use the Mammographic Image Analysis Society (MIAS) standard data
set and the features extracted of the digital mammograms are applied to the
fuzzy-SVM classifiers to assess the performance. Our experiments resulted in
95.6%,91.52%,89.02%, 85.31% classification accuracy for the subclass FSVM,
SVFNN, fuzzy rule based and kernel SVM classifiers respectively and we conclude
that the subclass fuzzy-SVM is superior to the other classifiers.
Mammography,Support vector based fuzzy neural network,Fuzzy
support vector machine,Contourlet
http://ijfs.usb.ac.ir/article_158.html
http://ijfs.usb.ac.ir/article_158_da31701004c02b62a0d1ce107e8ebbb2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
05
THE URYSOHN AXIOM AND THE COMPLETELY HAUSDORFF
AXIOM IN L-TOPOLOGICAL SPACES
33
45
EN
Fu-Gui
Shi
Department of Mathematics, School of Science, Beijing Institute of
Technology, Beijing, 100081, P. R. China
fuguishi@bit.edu.cn or f.g.shi@263.net
Peng
Chen
Department of Mathematics, School of Science, Beijing Institute of
Technology, Beijing, 100081, P. R. China
chenpengbeijing@sina.com
10.22111/ijfs.2010.159
In this paper, the Urysohn and completely Hausdorff axioms in general topology are generalized to L-topological spaces so as to be compatible with pointwise metrics. Some properties and characterizations are also derived
http://ijfs.usb.ac.ir/article_159.html
http://ijfs.usb.ac.ir/article_159_a392d427a40e4380b76776825363be68.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
04
CHARACTERIZATION OF L-FUZZIFYING MATROIDS BY
L-FUZZIFYING CLOSURE OPERATORS
58
47
EN
Lan
Wang
Department of Mathematics, Beijing Institute of Technology, Beijing
100081, P.R.China; Department of Mathematics, Mudanjiang Teachers college, Heilongjiang
157012, P.R.China
wanglantongtong@126.com or wanglan@bit.edu.cn
Fu-Gui
Shi
Department of Mathematics, Beijing Institute of Technology, Beijing,
100081, P. R. China
fuguishi@bit.edu.cn or f.g.shi@263.net
10.22111/ijfs.2010.160
An L-fuzzifying matroid is a pair (E, I), where I is a map from2E to L satisfying three axioms. In this paper, the notion of closure operatorsin matroid theory is generalized to an L-fuzzy setting and called L-fuzzifyingclosure operators. It is proved that there exists a one-to-one correspondencebetween L-fuzzifying matroids and their L-fuzzifying closure operators.
L-fuzzifying matroid,L-fuzzifying rank function,L-fuzzifying closure
operator
http://ijfs.usb.ac.ir/article_160.html
http://ijfs.usb.ac.ir/article_160_b9a40ba3ae101fd311f2d462be3c2c23.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
04
FUZZY QUASI-METRIC VERSIONS OF A THEOREM OF
GREGORI AND SAPENA
59
64
EN
Dorel
Mihet
Department of Mathematics, West University of Timisoara, Bv. V.
Parvan 4, Timisoara, Romania
mihet@math.uvt.ro
10.22111/ijfs.2010.161
We provide fuzzy quasi-metric versions of a fixed point theorem ofGregori and Sapena for fuzzy contractive mappings in G-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.
Fuzzy metric space,Non-archimedean fuzzy quasi-metric,Gbicomplete,Domain of words
http://ijfs.usb.ac.ir/article_161.html
http://ijfs.usb.ac.ir/article_161_614217821ae8b59f4fcebbf4ac3ae84e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
04
BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS
65
79
EN
Prasun Kumar
Nayak
Department of Mathematics, Bankura Christian College,
P.O.+ Dist- Bankura, West Bengal,722101, India
nayak prasun@rediffmail.com
Madhumangal
Pal
Department of Applied Mathematics with Oceanology and Computer
Programming, Vidyasagar University, Midnapore-721 102, India
mmpalvu@gmail.com
10.22111/ijfs.2010.162
In this paper, we present an application of intuitionistic fuzzyprogramming to a two person bi-matrix game (pair of payoffs matrices) for thesolution with mixed strategies using linear membership and non-membershipfunctions. We also introduce the intuitionistic fuzzy(IF) goal for a choiceof a strategy in a payoff matrix in order to incorporate ambiguity of humanjudgements; a player wants to maximize his/her degree of attainment of the IFgoal. It is shown that this solution is the optimal solution of a mathematicalprogramming problem. Finally, we present a numerical example to illustratethe methodology.
Bi-matrix game,Nash equilibrium,Intuitionistic fuzzy sets,Fuzzy
optimization,Intuitionistic fuzzy optimization
http://ijfs.usb.ac.ir/article_162.html
http://ijfs.usb.ac.ir/article_162_2cfcb7b16ba7eb37bf63f20ae72666b8.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
04
CATEGORICAL RELATIONS AMONG MATROIDS, FUZZY
MATROIDS AND FUZZIFYING MATROIDS
81
89
EN
Ling-Xia
Lu
School of Mathematics and Science, Shijiazhuang University of Technology,
Shijiazhuang 050031, P.R. China
lulingxia1214@gmail.com
Wei-Wei
Zheng
School of Science, Xi’an Polytechnic University, Xi’an 710048, P.R.
China
zww@nwpu.edu.cn
10.22111/ijfs.2010.163
The aim of this paper is to study the categorical relations betweenmatroids, Goetschel-Voxman’s fuzzy matroids and Shi’s fuzzifying matroids.It is shown that the category of fuzzifying matroids is isomorphic to that ofclosed fuzzy matroids and the latter is concretely coreflective in the categoryof fuzzy matroids. The category of matroids can be embedded in that offuzzifying matroids as a simultaneously concretely reflective and coreflectivesubcategory.
Matroid,Fuzzy matroid,Closed fuzzy matroid,Fuzzifying matroid.
This paper is supported by the national natural science foundation of china(10926055)
http://ijfs.usb.ac.ir/article_163.html
http://ijfs.usb.ac.ir/article_163_26f26b535f5ffeeed74f751fe9378466.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
02
04
SOME FIXED POINT THEOREMS FOR SINGLE AND MULTI
VALUED MAPPINGS ON ORDERED NON-ARCHIMEDEAN
FUZZY METRIC SPACES
91
96
EN
Ishak
Altun
Department of Mathematics, Faculty of Science and Arts, Kirikkale
University, 71450 Yahsihan, Kirikkale , Turkey
ialtun@kku.edu.tr, ishakaltun@yahoo.com
10.22111/ijfs.2010.165
In the present paper, a partial order on a non- Archimedean fuzzymetric space under the Lukasiewicz t-norm is introduced and fixed point theoremsfor single and multivalued mappings are proved.
Fixed point,Partial order,Fuzzy metric space
http://ijfs.usb.ac.ir/article_165.html
http://ijfs.usb.ac.ir/article_165_dedba155defd976c6a33406b81aa9208.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
1
2010
03
02
Persian-translation Vol.7, No.1, February 2010
99
106
EN
10.22111/ijfs.2010.2883
http://ijfs.usb.ac.ir/article_2883.html
http://ijfs.usb.ac.ir/article_2883_7ccdb12e0be3e8f2b2dbcd7ece66e8e3.pdf