University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101011SOLVING BEST PATH PROBLEM ON MULTIMODAL TRANSPORTATION NETWORKS WITH FUZZY COSTSSOLVING BEST PATH PROBLEM ON MULTIMODAL TRANSPORTATION NETWORKS WITH FUZZY COSTS11318410.22111/ijfs.2010.184ENAliGolnarkarDepartment of GIS Engineering,
K. N. Toosi University of Technology,
ValiAsr Street, Mirdamad cross, P.C. 19967-15433,
Tehran, IranAli AsgharAlesheikhDepartment of GIS Engineering,
K. N. Toosi University of Technology,
ValiAsr Street, Mirdamad cross, P.C. 19967-15433,
Tehran, IranMohamad RezaMalekDepartment of GIS Engineering,
K. N. Toosi University of Technology,
ValiAsr Street, Mirdamad cross, P.C. 19967-15433,
Tehran, IranJournal Article20090509Numerous algorithms have been proposed to solve the shortest-path<br />problem; many of them consider a single-mode network and crisp<br />costs. Other attempts have addressed the problem of fuzzy costs in<br />a single-mode network, the so-called fuzzy shortest-path problem<br />(FSPP). The main contribution of the present work is to solve the<br />optimum path problem in a multimodal transportation network, in<br />which the costs of the arcs are fuzzy values. Metropolitan<br />transportation systems are multimodal in that they usually contain<br />multiple modes, such as bus, metro, and monorail. The proposed<br />algorithm is based on the path algebra and dioid of $k$-shortest<br />fuzzy paths. The approach considers the number of mode changes,<br />the correct order of the modes used, and the modeling of two-way<br />paths. An advantage of the method is that there is no restriction<br />on the number and variety of the services to be considered. To<br />track the algorithm step by step, it is applied to a<br />pseudo-multimodal network.https://ijfs.usb.ac.ir/article_184_f7dc9d13a3aa140362cfd8b83d059aef.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009EXTRACTION-BASED TEXT SUMMARIZATION USING FUZZY
ANALYSISEXTRACTION-BASED TEXT SUMMARIZATION USING FUZZY
ANALYSIS153218510.22111/ijfs.2010.185ENFarshadKyoomarsiIslamic Azad University of Shahrekord branch, Shahrekord,
IranHamidKhosraviShahid Bahonar University of Kerman, International Center for
Science and High Technology and Environmental Sciences, Kerman, IranEsfandiarEslamiShahid Bahonar University of Kerman, The centre of Excellence
for Fuzzy system and applications, Kerman, Iran0000-0001-9353-8763MohsenDavoudiDepartment of Energy, Electrical Engineering division, Politecnico
di Milano, Milan, ItalyJournal Article20071009Due to the explosive growth of the world-wide web, automatic<br />text summarization has become an essential tool for web users. In this paper<br />we present a novel approach for creating text summaries. Using fuzzy logic<br />and word-net, our model extracts the most relevant sentences from an original<br />document. The approach utilizes fuzzy measures and inference on the<br />extracted textual information from the document to find the most significant<br />sentences. Experimental results reveal that the proposed approach extracts<br />the most relevant sentences when compared to other commercially available<br />text summarizers. Text pre-processing based on word-net and fuzzy analysis<br />is the main part of our work.https://ijfs.usb.ac.ir/article_185_f4f468a4b5cdae3e759f5223e8ee8f43.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009Numerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for DerivativeNumerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for Derivative335018710.22111/ijfs.2010.187ENTofighAllahviranlooDepartment of Mathematics,
Science and Research Branch Islamic Azad University,
Tehran, Iran0000-0002-6673-3560MAfshar KermaniDepartment of Mathematics,
Nourth Tehran Branch Islamic Azad University,
Tehran, IranJournal Article20080409In 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.https://ijfs.usb.ac.ir/article_187_5c3ac0b4fba64396a03b7d6e2b726a71.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009Optimization of linear objective function subject to
Fuzzy relation inequalities constraints with max-product
compositionOptimization of linear objective function subject to
Fuzzy relation inequalities constraints with max-product
composition517118910.22111/ijfs.2010.189ENElyasShivanianDepartment of Mathematics,
Faculty of Science, Imam Khomeini International University,
Qazvin 34194-288, IranEsmaileKhorramFaculty of Mathematics and Computer Science,
Amirkabir University of Technology,
Tehran 15914, IranJournal Article20080609In this paper, we study the finitely many constraints of the fuzzy<br />relation inequality problem and optimize the linear objective<br />function on the region defined by the fuzzy max-product operator.<br />Simplification operations have been given to accelerate the<br />resolution of the problem by removing the components having no<br />effect on the solution process. Also, an algorithm and some<br />numerical and applied examples are presented to abbreviate and<br />illustrate the steps of the problem resolution.https://ijfs.usb.ac.ir/article_189_86cbadca8c34e4a2064af076361a2647.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009A RELATED FIXED POINT THEOREM IN n FUZZY METRIC
SPACESA RELATED FIXED POINT THEOREM IN n FUZZY METRIC
SPACES738619110.22111/ijfs.2010.191ENFaycelMerghadiDepartment of Mathematics, University of Tebessa, 12000, AlgeriaAbdelkrimAlioucheDepartment of Mathematics, University of Larbi Ben M’Hidi,
Oum-El-Bouaghi, 04000, AlgeriaJournal Article20081209We prove a related fixed point theorem for n mappings which are<br />not necessarily continuous in n fuzzy metric spaces using an implicit relation<br />one of them is a sequentially compact fuzzy metric space which generalize<br />results of Aliouche, et al. [2], Rao et al. [14] and [15].https://ijfs.usb.ac.ir/article_191_dbb85a86732bdc74eac64f1c7bda6bb3.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009BEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED
SPACESBEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED
SPACES879619210.22111/ijfs.2010.192ENMozafarGoudarziDepartment of Mathematics and Computer Sciences, Amirkabir
University of Technology, Hafez Ave., P. O. Box 15914, Tehran, IranS. MansourVaezpourDepartment of Mathematics and Computer Sciences, Amirkabir
University of Technology, Hafez Ave., P. O. Box 15914, Tehran, IranJournal Article20090809The main purpose of this paper is to consider the t-best simultaneous<br />approximation in fuzzy normed spaces. We develop the theory of t-best<br />simultaneous approximation in quotient spaces. Then, we discuss the relationship<br />in t-proximinality and t-Chebyshevity of a given space and its quotient<br />space.https://ijfs.usb.ac.ir/article_192_36f51554bb9dcefe1c3bb01a0018eb3a.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009FUZZY BASIS OF FUZZY HYPERVECTOR SPACESFUZZY BASIS OF FUZZY HYPERVECTOR SPACES9711319310.22111/ijfs.2010.193ENRezaAmeriSchool of Mathematics, Statistics and Computer Science, College of
Sciences, University of Tehran, Tehran, IranOmid RezaDehghanDepartment of Mathematics, Faculty of Basic Sciences, University
of Mazandaran, Babolsar, IranJournal Article20081209The aim of this paper is the study of fuzzy basis and dimension<br />of fuzzy hypervector spaces. In this regard, first the notions of fuzzy linear<br />independence and fuzzy basis are introduced and then some related results are<br />obtained. In particular, it is shown that for a large class of fuzzy hypervector<br />space the fuzzy basis exist. Finally, dimension of a fuzzy hypervector space is<br />defined and the basic properties of that are investigated.https://ijfs.usb.ac.ir/article_193_79de888ed0a4241f5c2fdeddeda24391.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009ON PRIME FUZZY BI-IDEALS OF SEMIGROUPSON PRIME FUZZY BI-IDEALS OF SEMIGROUPS11512819410.22111/ijfs.2010.194ENMuhammadShabirDepartment of Mathematics, Quaid-i-Azam University, Islamabad,
PakistanYoung BaeJunDepartment of Mathematics Education and RINS, Gyeongsang National
University, Chinju 660-701, KoreaMahwishBanoDepartment of Mathematics, Air University E-9, PAF Complex, Islamabad,
PakistanJournal Article20080509In this paper, we introduce and study the prime, strongly prime,<br />semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize those<br />semigroups for which each fuzzy bi-ideal is semiprime. We also characterize<br />those semigroups for which each fuzzy bi-ideal is strongly prime.https://ijfs.usb.ac.ir/article_194_99c31c34b2db27922370768b4f44c69c.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06547320101009SOME PROPERTIES OF FUZZY HILBERT SPACES AND NORM
OF OPERATORSSOME PROPERTIES OF FUZZY HILBERT SPACES AND NORM
OF OPERATORS12915719610.22111/ijfs.2010.196ENAbbasHasankhaniDepartment of Mathematics, Shahid Bahonar University of Kerman,
Kerman, IranAkbarNazariDepartment of Mathematics, Shahid Bahonar University of Kerman,
Kerman, IranMortezaSaheliDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, IranJournal Article20090509In the present paper we define the notion of fuzzy inner product<br />and study the properties of the corresponding fuzzy norm. In particular, it is<br />shown that the Cauchy-Schwarz inequality holds. Moreover, it is proved that<br />every such fuzzy inner product space can be imbedded in a complete one and<br />that every subspace of a fuzzy Hilbert space has a complementary subspace.<br />Finally, the notions of fuzzy boundedness and operator norm are introduced<br />and the relationship between continuity and boundedness are investigated. It<br />is shown also that the space of all fuzzy bounded operators is complete.https://ijfs.usb.ac.ir/article_196_0e9bc69f70cca84530a0ad485e65cabb.pdf