University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
30
Cover vol.7, no.3
0
EN
10.22111/ijfs.2010.2878
http://ijfs.usb.ac.ir/article_2878.html
http://ijfs.usb.ac.ir/article_2878_ed328232a3eebd2751711520eb119ed6.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
11
SOLVING BEST PATH PROBLEM ON MULTIMODAL TRANSPORTATION NETWORKS WITH FUZZY COSTS
1
13
EN
Ali
Golnarkar
Department of GIS Engineering,
K. N. Toosi University of Technology,
ValiAsr Street, Mirdamad cross, P.C. 19967-15433,
Tehran, Iran
a_golnarkar@sina.kntu.ac.ir
Ali Asghar
Alesheikh
Department of GIS Engineering,
K. N. Toosi University of Technology,
ValiAsr Street, Mirdamad cross, P.C. 19967-15433,
Tehran, Iran
alesheikh@kntu.ac.ir
Mohamad Reza
Malek
Department of GIS Engineering,
K. N. Toosi University of Technology,
ValiAsr Street, Mirdamad cross, P.C. 19967-15433,
Tehran, Iran
mrmalek@kntu.ac.ir
10.22111/ijfs.2010.184
Numerous algorithms have been proposed to solve the shortest-pathproblem; many of them consider a single-mode network and crispcosts. Other attempts have addressed the problem of fuzzy costs ina single-mode network, the so-called fuzzy shortest-path problem(FSPP). The main contribution of the present work is to solve theoptimum path problem in a multimodal transportation network, inwhich the costs of the arcs are fuzzy values. Metropolitantransportation systems are multimodal in that they usually containmultiple modes, such as bus, metro, and monorail. The proposedalgorithm is based on the path algebra and dioid of $k$-shortestfuzzy paths. The approach considers the number of mode changes,the correct order of the modes used, and the modeling of two-waypaths. An advantage of the method is that there is no restrictionon the number and variety of the services to be considered. Totrack the algorithm step by step, it is applied to apseudo-multimodal network.
Transportation,Multimodal,Shortest path,Dioid,Fuzzy cost,Graph,GIS
http://ijfs.usb.ac.ir/article_184.html
http://ijfs.usb.ac.ir/article_184_f7dc9d13a3aa140362cfd8b83d059aef.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
EXTRACTION-BASED TEXT SUMMARIZATION USING FUZZY
ANALYSIS
15
32
EN
Farshad
Kyoomarsi
Islamic Azad University of Shahrekord branch, Shahrekord,
Iran
Hamid
Khosravi
Shahid Bahonar University of Kerman, International Center for
Science and High Technology and Environmental Sciences, Kerman, Iran
Esfandiar
Eslami
Shahid Bahonar University of Kerman, The centre of Excellence
for Fuzzy system and applications, Kerman, Iran
esfandiar.eslami@uk.ac.ir
Mohsen
Davoudi
Department of Energy, Electrical Engineering division, Politecnico
di Milano, Milan, Italy
10.22111/ijfs.2010.185
Due to the explosive growth of the world-wide web, automatictext summarization has become an essential tool for web users. In this paperwe present a novel approach for creating text summaries. Using fuzzy logicand word-net, our model extracts the most relevant sentences from an originaldocument. The approach utilizes fuzzy measures and inference on theextracted textual information from the document to find the most significantsentences. Experimental results reveal that the proposed approach extractsthe most relevant sentences when compared to other commercially availabletext summarizers. Text pre-processing based on word-net and fuzzy analysisis the main part of our work.
Extraction,Fuzzy logic,Text summarization,Word-net
http://ijfs.usb.ac.ir/article_185.html
http://ijfs.usb.ac.ir/article_185_f4f468a4b5cdae3e759f5223e8ee8f43.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
Numerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for Derivative
33
50
EN
Tofigh
Allahviranloo
Department of Mathematics,
Science and Research Branch Islamic Azad University,
Tehran, Iran
tofigh@allahviranloo.com
M
Afshar Kermani
Department of Mathematics,
Nourth Tehran Branch Islamic Azad University,
Tehran, Iran
mog_afshar@yahoo.com
10.22111/ijfs.2010.187
In this paper difference methods to solve "fuzzy partial differential equations" (FPDE) such as fuzzy hyperbolic and fuzzy parabolic equations are considered. The existence of the solution and stability of the method are examined in detail. Finally examples are presented to show that the Hausdorff distance between the exact solution and approximate solution tends to zero.
Fuzzy partial differential equation,Difference
method
http://ijfs.usb.ac.ir/article_187.html
http://ijfs.usb.ac.ir/article_187_5c3ac0b4fba64396a03b7d6e2b726a71.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
Optimization of linear objective function subject to
Fuzzy relation inequalities constraints with max-product
composition
51
71
EN
Elyas
Shivanian
Department of Mathematics,
Faculty of Science, Imam Khomeini International University,
Qazvin 34194-288, Iran
shivanian@ikiu.ac.ir
Esmaile
Khorram
Faculty of Mathematics and Computer Science,
Amirkabir University of Technology,
Tehran 15914, Iran
eskhor@aut.ac.ir
10.22111/ijfs.2010.189
In this paper, we study the finitely many constraints of the fuzzyrelation inequality problem and optimize the linear objectivefunction on the region defined by the fuzzy max-product operator.Simplification operations have been given to accelerate theresolution of the problem by removing the components having noeffect on the solution process. Also, an algorithm and somenumerical and applied examples are presented to abbreviate andillustrate the steps of the problem resolution.
Linear objective function optimization,Fuzzy relation equations,Fuzzy relation inequalities,Max-product
composition
http://ijfs.usb.ac.ir/article_189.html
http://ijfs.usb.ac.ir/article_189_86cbadca8c34e4a2064af076361a2647.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
A RELATED FIXED POINT THEOREM IN n FUZZY METRIC
SPACES
73
86
EN
Faycel
Merghadi
Department of Mathematics, University of Tebessa, 12000, Algeria
faycel mr@yahoo.fr
Abdelkrim
Aliouche
Department of Mathematics, University of Larbi Ben M’Hidi,
Oum-El-Bouaghi, 04000, Algeria
alioumath@yahoo.fr
10.22111/ijfs.2010.191
We prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of Aliouche, et al. [2], Rao et al. [14] and [15].
Fuzzy metric space,Implicit relation,Sequentially compact fuzzy
metric space,Related fixed point
http://ijfs.usb.ac.ir/article_191.html
http://ijfs.usb.ac.ir/article_191_dbb85a86732bdc74eac64f1c7bda6bb3.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
BEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED
SPACES
87
96
EN
Mozafar
Goudarzi
Department of Mathematics and Computer Sciences, Amirkabir
University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran
goudarzi@mail.yu.ac.ir
S. Mansour
Vaezpour
Department of Mathematics and Computer Sciences, Amirkabir
University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran
vaez@aut.ac.ir
10.22111/ijfs.2010.192
The main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. We develop the theory of t-bestsimultaneous approximation in quotient spaces. Then, we discuss the relationshipin t-proximinality and t-Chebyshevity of a given space and its quotientspace.
t-best simultaneous approximation,t-proximinality,t-Chebyshevity,Quotient spaces
http://ijfs.usb.ac.ir/article_192.html
http://ijfs.usb.ac.ir/article_192_36f51554bb9dcefe1c3bb01a0018eb3a.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
FUZZY BASIS OF FUZZY HYPERVECTOR SPACES
97
113
EN
Reza
Ameri
School of Mathematics, Statistics and Computer Science, College of
Sciences, University of Tehran, Tehran, Iran
rameri@ut.ac.ir
omid reza
dehghan
Department of Mathematics, Faculty of Basic Sciences, University
of Mazandaran, Babolsar, Iran
dehghan@umz.ac.ir
10.22111/ijfs.2010.193
The aim of this paper is the study of fuzzy basis and dimensionof fuzzy hypervector spaces. In this regard, first the notions of fuzzy linearindependence and fuzzy basis are introduced and then some related results areobtained. In particular, it is shown that for a large class of fuzzy hypervectorspace the fuzzy basis exist. Finally, dimension of a fuzzy hypervector space isdefined and the basic properties of that are investigated.
Fuzzy hypervector space,Fuzzy linear independence,Fuzzy basis,Dimension
http://ijfs.usb.ac.ir/article_193.html
http://ijfs.usb.ac.ir/article_193_79de888ed0a4241f5c2fdeddeda24391.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
115
128
EN
Muhammad
Shabir
Department of Mathematics, Quaid-i-Azam University, Islamabad,
Pakistan
mshabirbhatti@yahoo.co.uk
Young Bae
Jun
Department of Mathematics Education and RINS, Gyeongsang National
University, Chinju 660-701, Korea
ybjun@nongae.gsnu.ac.kr
Mahwish
Bano
Department of Mathematics, Air University E-9, PAF Complex, Islamabad,
Pakistan
sandiha pinky2005@yahoo.com
10.22111/ijfs.2010.194
In this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. We also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.
Prime fuzzy bi-ideals,Semiprime fuzzy bi-ideals,Strongly prime fuzzy
bi-ideals,Irreducible fuzzy bi-ideals,Strongly irreducible fuzzy bi-ideals
http://ijfs.usb.ac.ir/article_194.html
http://ijfs.usb.ac.ir/article_194_99c31c34b2db27922370768b4f44c69c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
09
SOME PROPERTIES OF FUZZY HILBERT SPACES AND NORM
OF OPERATORS
129
157
EN
Abbas
Hasankhani
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
abhasan@ mail.uk.ac.ir
Akbar
Nazari
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
nazari@ mail.uk.ac.ir
Morteza
Saheli
Department of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, Iran
10.22111/ijfs.2010.196
In the present paper we define the notion of fuzzy inner productand study the properties of the corresponding fuzzy norm. In particular, it isshown that the Cauchy-Schwarz inequality holds. Moreover, it is proved thatevery such fuzzy inner product space can be imbedded in a complete one andthat every subspace of a fuzzy Hilbert space has a complementary subspace.Finally, the notions of fuzzy boundedness and operator norm are introducedand the relationship between continuity and boundedness are investigated. Itis shown also that the space of all fuzzy bounded operators is complete.
Fuzzy norm,Fuzzy inner product,Fuzzy normed linear space,Fuzzy
boundedness,Strong continuity
http://ijfs.usb.ac.ir/article_196.html
http://ijfs.usb.ac.ir/article_196_0e9bc69f70cca84530a0ad485e65cabb.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
7
3
2010
10
30
Persian-translation vol.7,no.3
161
169
EN
10.22111/ijfs.2010.2879
http://ijfs.usb.ac.ir/article_2879.html
http://ijfs.usb.ac.ir/article_2879_a5a23df0e4c295471d439dad9f14fd7b.pdf