eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-29
5
3
0
10.22111/ijfs.2008.2901
2901
Cove Vol.5, No.3, October 2008
http://ijfs.usb.ac.ir/article_2901_670fd9d88f16069bbcbb60c0052e20bf.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-08
5
3
1
14
10.22111/ijfs.2008.339
339
مقاله پژوهشی
OPTIMIZATION OF FUZZY CLUSTERING CRITERIA BY A HYBRID
PSO AND FUZZY C-MEANS CLUSTERING ALGORITHM
E. MEHDIZADEH
mehdizadeh@qazviniau.ac.ir
1
S. SADI-NEZHAD
sadinejad@hotmail.com
2
R. TAVAKKOLI-MOGHADDAM
tavakoli@ut.ac.ir
3
DEPARTMENT OF INDUSTRIAL ENGINEERING, SCIENCE & RESEARCH BRANCH, ISLAMIC AZAD UNIVERSITY, TEHRAN, IRAN
DEPARTMENT OF INDUSTRIAL ENGINEERING, SCIENCE & RESEARCH BRANCH, ISLAMIC AZAD UNIVERSITY, TEHRAN, IRAN
DEPARTMENT OF INDUSTRIAL ENGINEERING, COLLEGE OF ENGINEERING, UNIVERSITY OF TEHRAN, TEHRAN, IRAN
This paper presents an efficient hybrid method, namely fuzzy particleswarm optimization (FPSO) and fuzzy c-means (FCM) algorithms, to solve the fuzzyclustering problem, especially for large sizes. When the problem becomes large, theFCM algorithm may result in uneven distribution of data, making it difficult to findan optimal solution in reasonable amount of time. The PSO algorithm does find agood or near-optimal solution in reasonable time, but we show that its performancemay be improved by seeding the initial swarm with the result of the c-meansalgorithm. Various clustering simulations are experimentally compared with the FCMalgorithm in order to illustrate the efficiency and ability of the proposed algorithms.
http://ijfs.usb.ac.ir/article_339_3fd4baa8d09bbcf87e9f15a5e6ec363b.pdf
Fuzzy clustering
Particle Swarm Optimization (PSO)
Fuzzy
c-means (FCM)
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-08
5
3
15
29
10.22111/ijfs.2008.340
340
مقاله پژوهشی
SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR
COMPLEMENT WHEN COEFFICIENT MATRIX IS AN
M-MATRIX
M. S. Hashemi
hashemi math396@yahoo.com
1
M. K. Mirnia
mirnia-kam@tabrizu.ac.ir
2
S. Shahmorad
shahmorad@tabrizu.ac.ir
3
Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
This paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp M-matrix. Thefuzzy linear system (FLS) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. However, solving this crisp system isdifficult for large n because of dimensionality problems . It is shown that thisdifficulty may be avoided by computing the inverse of an n×n matrix insteadof Z^{−1}.
http://ijfs.usb.ac.ir/article_340_45018795472748406c9f0737e0cd837f.pdf
Fuzzy linear system
Schur complement
M-matrix
H-matrix
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-09
5
3
31
44
10.22111/ijfs.2008.344
344
مقاله پژوهشی
ALMOST S^{*}-COMPACTNESS IN L-TOPOLOGICAL SPACES
Guo-Feng Wen
wenguofeng@sdibt.edu.cn
1
Fu-Gui Shi
fuguishi@bit.edu.cn
2
Hong-Yan Li
lihongyan@sdibt.edu.cn
3
School of Management Science and Engineering, Shandong Institute of Business and Technology, Yantai 264005, P. R. China
Department of Mathematics, Beijing Institute of Technology, Beijing,100081, P. R. China
School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, P. R. China
In this paper, the notion of almost S^{*}-compactness in L-topologicalspaces is introduced following Shi’s definition of S^{*}-compactness. The propertiesof this notion are studied and the relationship between it and otherdefinitions of almost compactness are discussed. Several characterizations ofalmost S^{*}-compactness are also presented.
http://ijfs.usb.ac.ir/article_344_38806068a065c4d5b10248627da60caa.pdf
L-topology
$beta$_{a}-cover
Q_{a} -cover
S^{*}-compactness
Almost S^{*}-compactness
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-09
5
3
45
56
10.22111/ijfs.2008.345
345
مقاله پژوهشی
FUZZY ROUGH N-ARY SUBHYPERGROUPS
Violeta Leoreanu Fotea
leoreanu2002@yahoo.com
1
Faculty of Mathematics, ”Al.I. Cuza” University, Street Carol I, n.11, Iasi, Romania
Fuzzy rough n-ary subhypergroups are introduced and characterized.
http://ijfs.usb.ac.ir/article_345_9c9774448c11be68582d02c4034ba721.pdf
Fuzzy rough n-ary subhypergroup
Fuzzy set
Rough set
n-ary subhypergroup
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-09
5
3
57
69
10.22111/ijfs.2008.346
346
مقاله پژوهشی
BEST APPROXIMATION SETS IN -n-NORMED SPACE
CORRESPONDING TO INTUITIONISTIC FUZZY n-NORMED
LINEAR SPACE
S. Vijayabalaji
balaji−nandini@rediffmail.com
1
N. Thillaigovindan
thillai−n@sify.com
2
Department of Mathematics, Anna University, Tiruchirappallli, Panruti Campus, Tamilnadu, India
Department of Mathematics, Annamalai university, Annamalainagar- 608002, Tamilnadu, India
The aim of this paper is to present the new and interesting notionof ascending family of $alpha $−n-norms corresponding to an intuitionistic fuzzy nnormedlinear space. The notion of best aproximation sets in an $alpha $−n-normedspace corresponding to an intuitionistic fuzzy n-normed linear space is alsodefined and several related results are obtained.
http://ijfs.usb.ac.ir/article_346_6ab0231a438fcfe753f8e98b207a377c.pdf
Fuzzy n-normed linear space
intuitionistic fuzzy n-norm
Best approximation
sets
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-09
5
3
71
79
10.22111/ijfs.2008.348
348
مقاله پژوهشی
METACOMPACTNESS IN L-TOPOLOGICAL SPACES
Sunil Jacob John
sunil@nitc.ac.in
1
T. Baiju
bethelbai@yahoo.co.in
2
Department of Mathematics, National Institute of Technology Calicut, Calicut-673601, Kerala, India
Department of Mathematics, National Institute of Technology Calicut, Calicut-673601, Kerala, India
In this paper the concept of metacompactness in L-topologicalspaces is introduced by means of point finite families of L-fuzzy sets. Thisfuzzy metacompactness is a natural generalization of Lowen fuzzy compactness.Further a characterization of fuzzy metacompactness in the weakly inducedL-topological spaces is also obtained.
http://ijfs.usb.ac.ir/article_348_6213cfdd88862a790fbc012919f842d6.pdf
L-topology
Fuzzy metacompactness
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-09
5
3
81
88
10.22111/ijfs.2008.349
349
مقاله پژوهشی
INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES
Yongfa Hong
hzycfl@ 126.com
1
Xianwen Fang
2
Binguo Wang
3
College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266510, P. R. China
Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan,Anhui, 232001, P. R. China
College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266510, P. R. China
In this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. Weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy normal. These are the intuitionistic fuzzy generalization ofthe corresponding properties of fuzzy quasi-metric and pseudo- metric spaces.
http://ijfs.usb.ac.ir/article_349_e462bdee3462b5203d0b7af5bdba624c.pdf
Intuitionistic fuzzy quasi-metric spaces
Intuitionistic fuzzy pseudometric
spaces
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-09
5
3
89
94
10.22111/ijfs.2008.350
350
مقاله پژوهشی
THE DIRECT AND THE INVERSE LIMIT OF HYPERSTRUCTURES ASSOCIATED WITH FUZZY SETS OF TYPE 2
Violeta Leoreanu Fotea
leoreanu2002@yahoo.com
1
Faculty of Mathematics, ”Al.I.Cuza” University, 6600 Iasi, Romania
In this paper we study two important concepts, i.e. the direct andthe inverse limit of hyperstructures associated with fuzzy sets of type 2, andshow that the direct and the inverse limit of hyperstructures associated withfuzzy sets of type 2 are also hyperstructures associated with fuzzy sets of type 2.
http://ijfs.usb.ac.ir/article_350_9c19173a4d46068588b174898d965fc8.pdf
Hyperstructure
Hypergroup
Fuzzy set of type 2
Direct limit
Inverse
limit
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-10-30
5
3
97
104
10.22111/ijfs.2008.2902
2902
Persian-translation Vol.5, No.3, October 2008
http://ijfs.usb.ac.ir/article_2902_081e1c7c112e536df36567ef09aa9840.pdf