eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-30
7
3
0
10.22111/ijfs.2010.2878
2878
Cover vol.7, no.3
http://ijfs.usb.ac.ir/article_2878_ed328232a3eebd2751711520eb119ed6.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-11
7
3
1
13
10.22111/ijfs.2010.184
184
مقاله پژوهشی
SOLVING BEST PATH PROBLEM ON MULTIMODAL TRANSPORTATION NETWORKS WITH FUZZY COSTS
Ali Golnarkar
a_golnarkar@sina.kntu.ac.ir
1
Ali Asghar Alesheikh
alesheikh@kntu.ac.ir
2
Mohamad Reza Malek
mrmalek@kntu.ac.ir
3
Department of GIS Engineering, K. N. Toosi University of Technology, ValiAsr Street, Mirdamad cross, P.C. 19967-15433, Tehran, Iran
Department of GIS Engineering, K. N. Toosi University of Technology, ValiAsr Street, Mirdamad cross, P.C. 19967-15433, Tehran, Iran
Department of GIS Engineering, K. N. Toosi University of Technology, ValiAsr Street, Mirdamad cross, P.C. 19967-15433, Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_184_f7dc9d13a3aa140362cfd8b83d059aef.pdf
Transportation
Multimodal
Shortest path
Dioid
Fuzzy cost
Graph
GIS
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
15
32
10.22111/ijfs.2010.185
185
مقاله پژوهشی
EXTRACTION-BASED TEXT SUMMARIZATION USING FUZZY
ANALYSIS
Farshad Kyoomarsi
1
Hamid Khosravi
2
Esfandiar Eslami
esfandiar.eslami@uk.ac.ir
3
Mohsen Davoudi
4
Islamic Azad University of Shahrekord branch, Shahrekord, Iran
Shahid Bahonar University of Kerman, International Center for Science and High Technology and Environmental Sciences, Kerman, Iran
Shahid Bahonar University of Kerman, The centre of Excellence for Fuzzy system and applications, Kerman, Iran
Department of Energy, Electrical Engineering division, Politecnico di Milano, Milan, Italy
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.
http://ijfs.usb.ac.ir/article_185_f4f468a4b5cdae3e759f5223e8ee8f43.pdf
Extraction
Fuzzy Logic
Text summarization
Word-net
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
33
50
10.22111/ijfs.2010.187
187
مقاله پژوهشی
Numerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for Derivative
Tofigh Allahviranloo
tofigh@allahviranloo.com
1
M Afshar Kermani
mog_afshar@yahoo.com
2
Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran
Department of Mathematics, Nourth Tehran Branch Islamic Azad University, Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_187_5c3ac0b4fba64396a03b7d6e2b726a71.pdf
Fuzzy partial differential equation
Difference
method
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
51
71
10.22111/ijfs.2010.189
189
مقاله پژوهشی
Optimization of linear objective function subject to
Fuzzy relation inequalities constraints with max-product
composition
Elyas Shivanian
shivanian@ikiu.ac.ir
1
Esmaile Khorram
eskhor@aut.ac.ir
2
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34194-288, Iran
Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15914, Iran
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.
http://ijfs.usb.ac.ir/article_189_86cbadca8c34e4a2064af076361a2647.pdf
Linear objective function optimization
Fuzzy relation equations
Fuzzy relation inequalities
Max-product
composition
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
73
86
10.22111/ijfs.2010.191
191
مقاله پژوهشی
A RELATED FIXED POINT THEOREM IN n FUZZY METRIC
SPACES
Faycel Merghadi
faycel mr@yahoo.fr
1
Abdelkrim Aliouche
alioumath@yahoo.fr
2
Department of Mathematics, University of Tebessa, 12000, Algeria
Department of Mathematics, University of Larbi Ben M’Hidi, Oum-El-Bouaghi, 04000, Algeria
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].
http://ijfs.usb.ac.ir/article_191_dbb85a86732bdc74eac64f1c7bda6bb3.pdf
Fuzzy metric space
Implicit relation
Sequentially compact fuzzy
metric space
Related fixed point
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
87
96
10.22111/ijfs.2010.192
192
مقاله پژوهشی
BEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED
SPACES
Mozafar Goudarzi
goudarzi@mail.yu.ac.ir
1
S. Mansour Vaezpour
vaez@aut.ac.ir
2
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_192_36f51554bb9dcefe1c3bb01a0018eb3a.pdf
t-best simultaneous approximation
t-proximinality
t-Chebyshevity
Quotient spaces
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
97
113
10.22111/ijfs.2010.193
193
مقاله پژوهشی
FUZZY BASIS OF FUZZY HYPERVECTOR SPACES
Reza Ameri
rameri@ut.ac.ir
1
omid reza dehghan
dehghan@umz.ac.ir
2
School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran
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.
http://ijfs.usb.ac.ir/article_193_79de888ed0a4241f5c2fdeddeda24391.pdf
Fuzzy hypervector space
Fuzzy linear independence
Fuzzy basis
Dimension
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
115
128
10.22111/ijfs.2010.194
194
مقاله پژوهشی
ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
Muhammad Shabir
mshabirbhatti@yahoo.co.uk
1
Young Bae Jun
ybjun@nongae.gsnu.ac.kr
2
Mahwish Bano
sandiha pinky2005@yahoo.com
3
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
Department of Mathematics, Air University E-9, PAF Complex, Islamabad, Pakistan
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.
http://ijfs.usb.ac.ir/article_194_99c31c34b2db27922370768b4f44c69c.pdf
Prime fuzzy bi-ideals
Semiprime fuzzy bi-ideals
Strongly prime fuzzy
bi-ideals
Irreducible fuzzy bi-ideals
Strongly irreducible fuzzy bi-ideals
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-09
7
3
129
157
10.22111/ijfs.2010.196
196
مقاله پژوهشی
SOME PROPERTIES OF FUZZY HILBERT SPACES AND NORM
OF OPERATORS
Abbas Hasankhani
abhasan@ mail.uk.ac.ir
1
Akbar Nazari
nazari@ mail.uk.ac.ir
2
Morteza Saheli
3
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
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.
http://ijfs.usb.ac.ir/article_196_0e9bc69f70cca84530a0ad485e65cabb.pdf
Fuzzy norm
Fuzzy inner product
Fuzzy normed linear space
Fuzzy
boundedness
Strong continuity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2010-10-30
7
3
161
169
10.22111/ijfs.2010.2879
2879
Persian-translation vol.7,no.3
http://ijfs.usb.ac.ir/article_2879_a5a23df0e4c295471d439dad9f14fd7b.pdf