eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-30
5
2
0
10.22111/ijfs.2008.2903
2903
Cover Vol.5, No.2, June 2008
http://ijfs.usb.ac.ir/article_2903_b1e8b83ab19de88be3a860a02e7e1cbb.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
1
19
10.22111/ijfs.2008.322
322
مقاله پژوهشی
ESTIMATING THE PARAMETERS OF A FUZZY LINEAR
REGRESSION MODEL
A. R. Arabpour
arabpour@graduate.uk.ac.ir
1
M. Tata
tata@mail.uk.ac.ir
2
Faculty of Mathematics and Computer Sciences, Shahid Bahonar
University of Kerman, Kerman, Iran
Faculty of Mathematics and Computer Sciences, Shahid Bahonar University
of Kerman, Kerman, Iran
Fuzzy linear regression models are used to obtain an appropriate
linear relation between a dependent variable and several independent variables
in a fuzzy environment. Several methods for evaluating fuzzy coefficients in
linear regression models have been proposed. The first attempts at estimating
the parameters of a fuzzy regression model used mathematical programming
methods. In this thesis, we generalize the metric defined by Diamond and
use it as a criterion to estimate these parameters. Our method, is not only
computationally easy to handle, but, when compared with earlier methods,
has a smaller the sum of errors of estimation.
http://ijfs.usb.ac.ir/article_322_89ab18dcd4fa63d8116aaf289ebdb6b0.pdf
Fuzzy linear regression
Least squares method
Estimate
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
21
33
10.22111/ijfs.2008.325
325
مقاله پژوهشی
GENERATING FUZZY RULES FOR PROTEIN CLASSIFICATION
EGHBAL G. MANSOORI
mansoori@shirazu.ac.ir
1
MANSOOR J. ZOLGHADRI
zjahromi@shirazu.ac.ir
2
SERAJ D. KATEBI
katebi@shirazu.ac.ir
3
HASSAN MOHABATKAR
mohabatkar@susc.ac.ir
4
REZA BOOSTANI
boostani@shirazu.ac.ir
5
MOHAMMAD H. SADREDDINI
sadredin@shirazu.ac.ir
6
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF ENGINEERING,
SHIRAZ UNIVERSITY, SHIRAZ, IRAN
BIOLOGY DEPARTMENT, COLLEGE OF SCIENCE, SHIRAZ UNIVERSITY, SHIRAZ,
IRAN
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF ENGINEERING,
SHIRAZ UNIVERSITY, SHIRAZ, IRAN
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
This paper considers the generation of some interpretable fuzzy rules for assigning an amino acid sequence into the appropriate protein superfamily. Since the main objective of this classifier is the interpretability of rules, we have used the distribution of amino acids in the sequences of proteins as features. These features are the occurrence probabilities of six exchange groups in the sequences. To generate the fuzzy rules, we have used some modified versions of a common approach. The generated rules are simple and understandable, especially for biologists. To evaluate our fuzzy classifiers, we have used four protein superfamilies from UniProt database. Experimental results show the comprehensibility of generated fuzzy rules with comparable classification accuracy.
http://ijfs.usb.ac.ir/article_325_c5e79ee9562ba9d7cc118a49b9ada1c0.pdf
Amino acid sequence
Protein classification
Fuzzy rule-based classifier
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
35
47
10.22111/ijfs.2008.331
331
مقاله پژوهشی
ON ( $alpha, beta$ )-FUZZY Hv-IDEALS OF H_{v}-RINGS
B. Davvaz
davvaz@yazduni.ac.ir
1
P. Corsini
corsini@dimi.uniud.it
2
Department of Mathematics, Yazd University, Yazd, Iran
Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100
Udine, Italy
Using the notion of “belongingness ($epsilon$)” and “quasi-coincidence
(q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ alpha, beta$)-
fuzzyHv-ideal of an Hv-ring, where , are any two of {$epsilon$, q,$epsilon$ $vee$ q, $epsilon$ $wedge$ q} with
$ alpha$ $neq$ $epsilon$ $wedge$ q. Since the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy Hv-ideals is an important and
useful generalization of ordinary fuzzy Hv-ideals, we discuss some fundamental
aspects of ($epsilon$, $epsilon$ $vee$ q)-fuzzy Hv-ideals. A fuzzy subset A of an Hv-ring R is an
($epsilon$, $epsilon$ $vee$ q)-fuzzy Hv-ideal if and only if an At, level cut of A, is an Hv-ideal
of R, for all t$epsilon$(0, 0.5]. This shows that an($epsilon$, $epsilon$ $vee$ q)-fuzzy Hv-ideal is a
generalization of the existing concept of fuzzy Hv-ideal. Finally, we extend
the concept of a fuzzy subgroup with thresholds to the concept of a fuzzy
H_{v}-ideal with thresholds.
http://ijfs.usb.ac.ir/article_331_7ce6dea60021dc9f6ab1487b3ea00cf9.pdf
Hyperstructure
H_{v}-ring
Fuzzy set
Fuzzy H_{v}-ideal
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
49
62
10.22111/ijfs.2008.333
333
مقاله پژوهشی
A COMMON FIXED POINT THEOREM FOR SIX WEAKLY
COMPATIBLE MAPPINGS IN M-FUZZY METRIC SPACES
Shaban Sedghi
sedghi gh@yahoo.com
1
K. P. R. Rao
kprrao2004@yahoo.com
2
Nabi Shobe
nabi_shobe@yahoo.com
3
Department of Mathematics, Islamic Azad University-Ghaemshahr
Branch, Ghaemshahr P.O.Box 163, Iran
Department of Applied Mathematics, Acharya Nagarjuna University-
Nuzvid Campus, Nuzvid-521201, A.P., India
Department of Mathematics, Islamic Azad University-Babol Branch,
Iran
In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.
http://ijfs.usb.ac.ir/article_333_8ac38854328cccd8f1a4b2688d0453bc.pdf
M-fuzzy metric spaces
Weakly compatible maps
Hadzic-type t-norm
Common fixed point theorem
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
63
70
10.22111/ijfs.2008.334
334
مقاله پژوهشی
REDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Arsham Borumand Saeid
arsham@mail.uk.ac.ir
1
Y. B. Jun
skywine@gmail.com
2
Department of Mathematics, Shahid Bahonar University
of Kerman, Kerman, Iran
Department of Mathematics Education (and RINS), Gyeongsang National
University, Chinju 660-701, Korea
Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.
http://ijfs.usb.ac.ir/article_334_806c0d3571ea942aae4f0a7501f33fe5.pdf
Besides to
Non-quasi coincident with
($alpha
beta$)^{*}-fuzzy subalgebra
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
71
78
10.22111/ijfs.2008.335
335
مقاله پژوهشی
MODULARITY OF AJMAL FOR THE LATTICES OF FUZZY IDEALS
OF A RING
IFFAT JAHAN
ij.umar@yahoo.com
1
DEPARTMENT OF MATHEMATICS, RAMJAS COLLEGE, UNIVERSITY OF
DELHI, NEW DELHI , INDIA
In this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring R. These fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. Using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set theoretic proof of the fact that the lattice $vartheta$(R) of all fuzzy ideals of a ring R is modular.
http://ijfs.usb.ac.ir/article_335_d77ea108880da9b02b705e6c27df1d4f.pdf
Algebra
Lattice
Modularity
Ideal of a ring
Morphism
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
79
86
10.22111/ijfs.2008.336
336
مقاله پژوهشی
A NEW NOTION OF FUZZY PS-COMPACTNESS
Shi-Zhong Bai
shizhongbai@yahoo.com
1
Department of Mathematics, Wuyi University, Guangdong 529020,
P.R.China
In this paper, using pre-semi-open L-sets and their inequality, a new notion of PS-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This notion does not depend on the structure of the basis lattice L and L does not need any distributivity.
http://ijfs.usb.ac.ir/article_336_43f0e2d4affed0974ee3c15224348666.pdf
L-topology
Pre-semi-open L-set
Compactness
PS-compactness
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
87
92
10.22111/ijfs.2008.337
337
مقاله پژوهشی
FUZZY SEMI-IDEAL AND GENERALIZED FUZZY QUOTIENT RING
YAO BINGXUE
yaobingxue@lcu.edu.cn
1
DEPARTMENT OF MATHEMATICS, HAINAN NORMAL UNIVERSITY, HAIKOU, HAINAN
571158, CHINA AND SCHOOL OF MATHEMATICS SCIENCE, LIAOCHENG UNIVERSITY, LIAOCHENG, SHANDONG
252059, CHINA
The concepts of fuzzy semi-ideals of R with respect to H≤R and generalized fuzzy quotient rings are introduced. Some properties of fuzzy semiideals are discussed. Finally, several isomorphism theorems for generalized fuzzy quotient rings are established.
http://ijfs.usb.ac.ir/article_337_1025373edc6782ededb183dc98929799.pdf
Fuzzy Semi-ideal
Generalized Fuzzy Quotient Ring
Homomorphism
Isomorphism
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-08
5
2
93
99
10.22111/ijfs.2008.338
338
مقاله پژوهشی
t-BEST APPROXIMATION IN FUZZY NORMED SPACES
S. M. Vaezpour
vaez@aut.ac.ir
1
F. Karimi
fk-karimi@yahoo.com
2
Department of Mathematics, Amirkabir University, Tehran, Iran
Department of Mathematics, University of Yazd, Yazd, Iran
The main purpose of this paper is to find t-best approximations in fuzzy normed spaces. We introduce the notions of t-proximinal sets and F-approximations and prove some interesting theorems. In particular, we investigate the set of all t-best approximations to an element from a set.
http://ijfs.usb.ac.ir/article_338_cd7551ba57400b6f1b81b832dafed611.pdf
Fuzzy normed space
t-best approximation
t-proximinal set
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2008-06-30
5
2
103
111
10.22111/ijfs.2008.2904
2904
Persian-translation Vol.5, No.2, June 2008
http://ijfs.usb.ac.ir/article_2904_09698e782b4a3f1128cab8182d0d7920.pdf