University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
30
Cover Vol.5, No.2, June 2008
0
EN
10.22111/ijfs.2008.2903
http://ijfs.usb.ac.ir/article_2903.html
http://ijfs.usb.ac.ir/article_2903_b1e8b83ab19de88be3a860a02e7e1cbb.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
ESTIMATING THE PARAMETERS OF A FUZZY LINEAR
REGRESSION MODEL
1
19
EN
A. R.
Arabpour
Faculty of Mathematics and Computer Sciences, Shahid Bahonar
University of Kerman, Kerman, Iran
arabpour@graduate.uk.ac.ir
M.
Tata
Faculty of Mathematics and Computer Sciences, Shahid Bahonar University
of Kerman, Kerman, Iran
tata@mail.uk.ac.ir
10.22111/ijfs.2008.322
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.
Fuzzy linear regression,Least squares method,Estimate
http://ijfs.usb.ac.ir/article_322.html
http://ijfs.usb.ac.ir/article_322_89ab18dcd4fa63d8116aaf289ebdb6b0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
GENERATING FUZZY RULES FOR PROTEIN CLASSIFICATION
21
33
EN
EGHBAL
G. MANSOORI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
mansoori@shirazu.ac.ir
MANSOOR J.
ZOLGHADRI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
zjahromi@shirazu.ac.ir
SERAJ D.
KATEBI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF ENGINEERING,
SHIRAZ UNIVERSITY, SHIRAZ, IRAN
katebi@shirazu.ac.ir
HASSAN
MOHABATKAR
BIOLOGY DEPARTMENT, COLLEGE OF SCIENCE, SHIRAZ UNIVERSITY, SHIRAZ,
IRAN
mohabatkar@susc.ac.ir
REZA
BOOSTANI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF ENGINEERING,
SHIRAZ UNIVERSITY, SHIRAZ, IRAN
boostani@shirazu.ac.ir
MOHAMMAD H.
SADREDDINI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
sadredin@shirazu.ac.ir
10.22111/ijfs.2008.325
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.
Amino acid sequence,Protein classification,Fuzzy rule-based classifier
http://ijfs.usb.ac.ir/article_325.html
http://ijfs.usb.ac.ir/article_325_c5e79ee9562ba9d7cc118a49b9ada1c0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
ON ( $alpha, beta$ )-FUZZY Hv-IDEALS OF H_{v}-RINGS
35
47
EN
B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
davvaz@yazduni.ac.ir
P.
Corsini
Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100
Udine, Italy
corsini@dimi.uniud.it
10.22111/ijfs.2008.331
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.
Hyperstructure,H_{v}-ring,Fuzzy set,Fuzzy H_{v}-ideal
http://ijfs.usb.ac.ir/article_331.html
http://ijfs.usb.ac.ir/article_331_7ce6dea60021dc9f6ab1487b3ea00cf9.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
A COMMON FIXED POINT THEOREM FOR SIX WEAKLY
COMPATIBLE MAPPINGS IN M-FUZZY METRIC SPACES
49
62
EN
Shaban
Sedghi
Department of Mathematics, Islamic Azad University-Ghaemshahr
Branch, Ghaemshahr P.O.Box 163, Iran
sedghi gh@yahoo.com
K. P. R.
Rao
Department of Applied Mathematics, Acharya Nagarjuna University-
Nuzvid Campus, Nuzvid-521201, A.P., India
kprrao2004@yahoo.com
Nabi
Shobe
Department of Mathematics, Islamic Azad University-Babol Branch,
Iran
nabi_shobe@yahoo.com
10.22111/ijfs.2008.333
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.
M-fuzzy metric spaces,Weakly compatible maps,Hadzic-type t-norm,Common fixed point theorem
http://ijfs.usb.ac.ir/article_333.html
http://ijfs.usb.ac.ir/article_333_8ac38854328cccd8f1a4b2688d0453bc.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
REDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
63
70
EN
Arsham
Borumand Saeid
Department of Mathematics, Shahid Bahonar University
of Kerman, Kerman, Iran
arsham@mail.uk.ac.ir
Y. B.
Jun
Department of Mathematics Education (and RINS), Gyeongsang National
University, Chinju 660-701, Korea
skywine@gmail.com
10.22111/ijfs.2008.334
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.
Besides to,Non-quasi coincident with,($\alpha,\beta$)^{*}-fuzzy subalgebra
http://ijfs.usb.ac.ir/article_334.html
http://ijfs.usb.ac.ir/article_334_806c0d3571ea942aae4f0a7501f33fe5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
MODULARITY OF AJMAL FOR THE LATTICES OF FUZZY IDEALS
OF A RING
71
78
EN
IFFAT
JAHAN
DEPARTMENT OF MATHEMATICS, RAMJAS COLLEGE, UNIVERSITY OF
DELHI, NEW DELHI , INDIA
ij.umar@yahoo.com
10.22111/ijfs.2008.335
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.
Algebra,Lattice,Modularity,Ideal of a ring,Morphism
http://ijfs.usb.ac.ir/article_335.html
http://ijfs.usb.ac.ir/article_335_d77ea108880da9b02b705e6c27df1d4f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
A NEW NOTION OF FUZZY PS-COMPACTNESS
79
86
EN
Shi-Zhong
Bai
Department of Mathematics, Wuyi University, Guangdong 529020,
P.R.China
shizhongbai@yahoo.com
10.22111/ijfs.2008.336
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.
L-topology,Pre-semi-open L-set,Compactness,PS-compactness
http://ijfs.usb.ac.ir/article_336.html
http://ijfs.usb.ac.ir/article_336_43f0e2d4affed0974ee3c15224348666.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
FUZZY SEMI-IDEAL AND GENERALIZED FUZZY QUOTIENT RING
87
92
EN
YAO
BINGXUE
DEPARTMENT OF MATHEMATICS, HAINAN NORMAL UNIVERSITY, HAIKOU, HAINAN
571158, CHINA AND SCHOOL OF MATHEMATICS SCIENCE, LIAOCHENG UNIVERSITY, LIAOCHENG, SHANDONG
252059, CHINA
yaobingxue@lcu.edu.cn
10.22111/ijfs.2008.337
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.
Fuzzy Semi-ideal,Generalized Fuzzy Quotient Ring,Homomorphism,Isomorphism
http://ijfs.usb.ac.ir/article_337.html
http://ijfs.usb.ac.ir/article_337_1025373edc6782ededb183dc98929799.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
08
t-BEST APPROXIMATION IN FUZZY NORMED SPACES
93
99
EN
S. M.
Vaezpour
Department of Mathematics, Amirkabir University, Tehran, Iran
vaez@aut.ac.ir
F.
Karimi
Department of Mathematics, University of Yazd, Yazd, Iran
fk-karimi@yahoo.com
10.22111/ijfs.2008.338
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.
Fuzzy normed space,t-best approximation,t-proximinal set
http://ijfs.usb.ac.ir/article_338.html
http://ijfs.usb.ac.ir/article_338_cd7551ba57400b6f1b81b832dafed611.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
5
2
2008
06
30
Persian-translation Vol.5, No.2, June 2008
103
111
EN
10.22111/ijfs.2008.2904
http://ijfs.usb.ac.ir/article_2904.html
http://ijfs.usb.ac.ir/article_2904_09698e782b4a3f1128cab8182d0d7920.pdf