University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
03
02
Cover vol.8,no.1- February 2011
0
EN
10.22111/ijfs.2011.2874
http://ijfs.usb.ac.ir/article_2874.html
http://ijfs.usb.ac.ir/article_2874_b146a1210c1b6737839b7a108b742ce0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
11
FUZZY LOGISTIC REGRESSION: A NEW POSSIBILISTIC
MODEL AND ITS APPLICATION IN
CLINICAL VAGUE STATUS
1
17
EN
Saeedeh
Pourahmad
Department of Biostatistics, School of Medicine, Shiraz University
of Medical Sciences, Shiraz, 71345-1874, Iran
pourahmad@sums.ac.ir
S. Mohammad
Taghi Ayatollahi
Department of Biostatistics, School of Medicine,
Shiraz University of Medical Sciences, Shiraz, 71345-1874, Iran
ayatolahim@sums.ac.ir
S. Mahmoud
Taheri
Department of Mathematical Sciences, Isfahan University of
Technology, Isfahan, 84156-83111, Iran
sm_taheri@yahoo.com
10.22111/ijfs.2011.232
Logistic regression models are frequently used in clinicalresearch and particularly for modeling disease status and patientsurvival. In practice, clinical studies have several limitationsFor instance, in the study of rare diseases or due ethical considerations, we can only have small sample sizes. In addition, the lack of suitable andadvanced measuring instruments lead to non-precise observations and disagreements among scientists in defining diseasecriteria have led to vague diagnosis. Also,specialists oftenreport their opinion in linguistic terms rather than numerically. Usually, because of these limitations, the assumptions of the statistical model do not hold and hence their use is questionable. We therefore need to develop new methods formodeling and analyzing the problem. In this study, a model called the `` fuzzy logistic model '' isproposed for the case when the explanatory variables arecrisp and the value of the binary response variable is reportedas a number between zero and one (indicating the possibility ofhaving the property). In this regard, the concept of `` possibilistic odds '' is alsointroduced. Then, the methodology and formulationof this model is explained in detail and a linear programming approach is use to estimate the model parameters. Some goodness-of-fit criteria are proposed and a numerical example is given as an example.
Logistic regression,Clinical research,Fuzzy logistic regression,Possibilistic
odds
http://ijfs.usb.ac.ir/article_232.html
http://ijfs.usb.ac.ir/article_232_ab7ae3d9f840627e8888c9450131cbb6.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
11
TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES
19
28
EN
mati
Abel
Institute of Pure Mathematics, University of Tartu, J.Liivi street 2,
EE-50409 Tartu, Estonia
mati.abel@ut.ee
aleksandrs
ˇSostaks
Department of Mathematics, University of Latvia, Zellu street
8, LV-1002, Riga, Latvia and Institute of Mathematics and CS, University of Latvia,
Raina bulv. 29, LV-1586, Riga, Latvia
10.22111/ijfs.2011.233
The concept of an $L$-bornology is introduced and the theory of $L$-bornological spacesis being developed. In particular the lattice of all $L$-bornologies on a given set is studied and basic properties ofthe category of $L$-bornological spaces and bounded mappings are investigated.
Bornology,$L$-set,$L$-bornology,Fuzzy set,Fuzzy topology
http://ijfs.usb.ac.ir/article_233.html
http://ijfs.usb.ac.ir/article_233_1ad45ef27bcc863221cb4c71a4ff9e4b.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
11
ORDERED INTUITIONISTIC FUZZY SOFT
MODEL OF FLOOD ALARM
29
39
EN
Sunny Joseph
Kalayathankal
Department of Mathematics, K.E.College, Mannanam,
Kottayam, 686561, Kerala, India
sunnyjose2000@yahoo.com
G. Suresh
Singh
Department of Mathematics, University of Kerala, Trivandrum,
695581, Kerala, India
P. B.
Vinodkumar
Department of Mathematics, Rajagiri School of Engineering &
Technology, Cochin, Kerala, India
Sabu
Joseph
Department of Environmental Science, University of Kerala, Trivan-
drum, Kerala, India
Jobin
Thomas
Department of Environmental Science, University of Kerala, Trivan-
drum, Kerala, India
10.22111/ijfs.2011.234
A flood warning system is a non-structural measure for flood mitigation. Several parameters are responsible for flood related disasters. This work illustrates an ordered intuitionistic fuzzy analysis that has the capability to simulate the unknown relations between a set of meteorological and hydrological parameters. In this paper, we first define ordered intuitionistic fuzzy soft sets and establish some results on them. Then, we define similarity measures between ordered intuitionistic fuzzy soft (OIFS) sets and apply these similarity measures to five selected sites of Kerala, India to predict potential flood.
Rainfall,Intuitionistic fuzzy soft set,Flood,Simulation
http://ijfs.usb.ac.ir/article_234.html
http://ijfs.usb.ac.ir/article_234_35cde19badb331cea8f2e50565ae547a.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
11
DISCRETE TOMOGRAPHY AND FUZZY INTEGER
PROGRAMMING
41
48
EN
Fethi
Jarray
Laboratoire CEDRIC-CNAM, 292 rue St-Martin, 75003 Paris, France,
Gabes University of Sciences, 6072 Gabes, Tunisia
fethi.jarray@cnam.fr
10.22111/ijfs.2011.235
We study the problem of reconstructing binary images from four projections data in a fuzzy environment. Given the uncertainly projections,w e want to find a binary image that respects as best as possible these projections. We provide an iterative algorithm based on fuzzy integer programming and linear membership functions.
Discrete tomography,F uzzy integer programming,Image
reconstruction
http://ijfs.usb.ac.ir/article_235.html
http://ijfs.usb.ac.ir/article_235_665d416a9509a1786df4be6c203977f0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
11
MODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL
VALUE PROBLEMS
49
63
EN
Omid
Solaymani Fard
School of Mathematics and Computer Science, Damghan
University, Damghan, Iran
osfard@du.ac.ir, omidsfard@gmail.com
Ali
Vahidian Kamyad
Department of Mathematics, Ferdowsi University of Mashhad,
Mashhad, Iran
avkamyad@math.um.ac.ir
10.22111/ijfs.2011.236
We are concerned with the development of a K−step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order 4 is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.
Fuzzy numbers,Fuzzy differential equations,Modified k-step method
http://ijfs.usb.ac.ir/article_236.html
http://ijfs.usb.ac.ir/article_236_a45147c5661d20b5db9030a06ea49fe5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
12
On $n$-ary Hypergroups and Fuzzy $n$-ary Homomorphism
65
76
EN
O.
Kazancı
Department of Mathematics, Karadeniz Technical University,61080,
Trabzon, Turkey
kazancio@yahoo.com
S.
Yamak
Department of Mathematics, Karadeniz Technical University,61080, Trabzon,
Turkey
syamak@ktu.edu.tr
B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
davvaz@yazduni.ac.ir
10.22111/ijfs.2011.237
Hypergroup,$n$-ary hypergroup,Fuzzy set,$n$-ary sub-hypergroup,Fuzzy $n$-ary sub-hypergroup
$n$-ary homomorphism
http://ijfs.usb.ac.ir/article_237.html
http://ijfs.usb.ac.ir/article_237_ea23a937b8bfe7d93a4e7c3e69a6bbc5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
13
FUZZIFYING CLOSURE SYSTEMS AND CLOSURE
OPERATORS
77
94
EN
Xiaoli
Luo
Department of Mathematics, Ocean University of China, Qingdao 266071,
People’s Republic of China
luosixi@yahoo.cn
Jinming
Fang
Department of Mathematics, Ocean University of China, Qingdao
266071, People’s Republic of China
jinming-fang@163.com
10.22111/ijfs.2011.239
In this paper, we propose the concepts of fuzzifying closure systems and Birkhoff fuzzifying closure operators. In the framework of fuzzifying mathematics, we find that there still exists a one to one correspondence between fuzzifying closure systems and Birkhoff fuzzifying closure operators as in the case of classical mathematics. In the aspect of category theory, we prove that the category of fuzzifying closure system spaces is isomorphic to the category of Birkhoff fuzzifying closure spaces. In addition, we obtain an important result that the category of fuzzifying closure spaces and that of fuzzifying closure system spaces can be both embedded in the category of Birkhoff 𝐼 -closure spaces. Finally, using fuzzifying closure systems of the paper, we introduce a set of separation axioms in fuzzifying closure system spaces, which offer a try how to research the properties of spaces by fuzzifying closure systems.
Fuzzifying closure operator,Fuzzifying closure system,Isomorphism
of categories,Embedding of categories,Fuzzifying remote neighborhood system,Separation axioms
http://ijfs.usb.ac.ir/article_239.html
http://ijfs.usb.ac.ir/article_239_4b07e5de579748d34a7d4f9ffee36621.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
15
SEMISIMPLE SEMIHYPERGROUPS IN TERMS OF
HYPERIDEALS AND FUZZY HYPERIDEALS
95
111
EN
Piergiulio
Corsini
Department of Civil Engineering and Architecture, Via delle
Scienze 206, 33100 Udine, Italy
piergiulio.corsini@uniud.it, corsini2002@yahoo.com
Muhammad
Shabir
Department of Mathematics, Quaid-i-Azam University, Islamabad-
45320, Pakistan
mshabirbhatti@yahoo.co.uk
Tariq
Mahmood
Department of Mathematics, Quaid-i-Azam University, Islamabad-
45320, Pakistan
tmhn3367@gmail.com
10.22111/ijfs.2011.255
In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.
Semihypergroups,Prime (semiprime) hyperideals of semihypergroups,Prime (semiprime) fuzzy hyperideals of semihypergroups,Semisimple semihypergroups
http://ijfs.usb.ac.ir/article_255.html
http://ijfs.usb.ac.ir/article_255_bb68e07ae3f0a44c6e035530baa661f9.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
16
SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA
113
134
EN
khadijeh
Abolpour
Department of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran
abolpor kh@yahoo.com
Mohammad Mehdi
Zahedi
Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
zahedi mm@modares.ac.ir
Masoome
Golmohamadian
Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
10.22111/ijfs.2011.256
We present some connections between the max-min general fuzzy automaton theory and the hyper structure theory. First, we introduce a hyper BCK-algebra induced by a max-min general fuzzy automaton. Then, we study the properties of this hyper BCK-algebra. Particularly, some theorems and results for hyper BCK-algebra are proved. For example, it is shown that this structure consists of different types of (positive implicative) commutative hyper K-ideals. As a generalization, we extend the definition of this hyper BCK-algebra to a bounded hyper K-algebra and obtain relative results.
(Positive implicative) Commutative hyper K-ideal,(Bounded) Hyper
BCK-algebra,Hyper BCK-ideal,Max-min general fuzzy automata
http://ijfs.usb.ac.ir/article_256.html
http://ijfs.usb.ac.ir/article_256_71305226c332631bc2f1b6569fe5e508.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
16
NORM AND INNER PRODUCT ON FUZZY LINEAR SPACES
OVER FUZZY FIELDS
135
144
EN
C. P.
Santhosh
Department of Mathematical Sciences, Kannur University, Man-
gattuparamba, Kannur, Kerala, 670 567, India.
santhoshcpchu@yahoo.co.in
T. V.
Ramakrishnan
Department of Mathematical Sciences, Kannur University, Man-
gattuparamba, Kannur, Kerala, 670 567, India.
ramakrishnantv@rediffmail.com
10.22111/ijfs.2011.257
In this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.
Fuzzy fields,Fuzzy linear spaces,Norm on fuzzy linear spaces,Inner
product on fuzzy linear spaces
http://ijfs.usb.ac.ir/article_257.html
http://ijfs.usb.ac.ir/article_257_86f80c9af851736ee66c2d110c3055f3.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
02
16
VAGUE RINGS AND VAGUE IDEALS
145
157
EN
Sevda
Sezer
Faculty of Education, Akdeniz University, 07058, Antalya, Turkey
sevdasezer@yahoo.com , sevdasezer@akdeniz.edu.tr
10.22111/ijfs.2011.258
In this paper, various elementary properties of vague rings are obtained. Furthermore, the concepts of vague subring, vague ideal, vague prime ideal and vague maximal ideal are introduced, and the validity of some relevant classical results in these settings are investigated.
Vague group,Generalized vague subgroup,Vague ring,Vague subring,Vague ideal,Vague prime ideal,Vague maximal ideal
http://ijfs.usb.ac.ir/article_258.html
http://ijfs.usb.ac.ir/article_258_c7c6d1457f353b46765c5eee7dd0ef9b.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
8
1
2011
03
02
Persian-translation vol.8,no.1- February 2011
161
171
EN
10.22111/ijfs.2011.2875
http://ijfs.usb.ac.ir/article_2875.html
http://ijfs.usb.ac.ir/article_2875_306b1941e5189f522993186d670bc66f.pdf