Cover vol.8,no.1- February 2011
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
0
http://ijfs.usb.ac.ir/article_2874_b146a1210c1b6737839b7a108b742ce0.pdf
dx.doi.org/10.22111/ijfs.2011.2874
FUZZY LOGISTIC REGRESSION: A NEW POSSIBILISTIC
MODEL AND ITS APPLICATION IN
CLINICAL VAGUE STATUS
Saeedeh
Pourahmad
Department of Biostatistics, School of Medicine, Shiraz University
of Medical Sciences, Shiraz, 71345-1874, Iran
author
S. Mohammad
Taghi Ayatollahi
Department of Biostatistics, School of Medicine,
Shiraz University of Medical Sciences, Shiraz, 71345-1874, Iran
author
S. Mahmoud
Taheri
Department of Mathematical Sciences, Isfahan University of
Technology, Isfahan, 84156-83111, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
1
17
http://ijfs.usb.ac.ir/article_232_ab7ae3d9f840627e8888c9450131cbb6.pdf
dx.doi.org/10.22111/ijfs.2011.232
TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES
mati
Abel
Institute of Pure Mathematics, University of Tartu, J.Liivi street 2,
EE-50409 Tartu, Estonia
author
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
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
19
28
http://ijfs.usb.ac.ir/article_233_1ad45ef27bcc863221cb4c71a4ff9e4b.pdf
dx.doi.org/10.22111/ijfs.2011.233
ORDERED INTUITIONISTIC FUZZY SOFT
MODEL OF FLOOD ALARM
Sunny Joseph
Kalayathankal
Department of Mathematics, K.E.College, Mannanam,
Kottayam, 686561, Kerala, India
author
G. Suresh
Singh
Department of Mathematics, University of Kerala, Trivandrum,
695581, Kerala, India
author
P. B.
Vinodkumar
Department of Mathematics, Rajagiri School of Engineering &
Technology, Cochin, Kerala, India
author
Sabu
Joseph
Department of Environmental Science, University of Kerala, Trivan-
drum, Kerala, India
author
Jobin
Thomas
Department of Environmental Science, University of Kerala, Trivan-
drum, Kerala, India
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
29
39
http://ijfs.usb.ac.ir/article_234_35cde19badb331cea8f2e50565ae547a.pdf
dx.doi.org/10.22111/ijfs.2011.234
DISCRETE TOMOGRAPHY AND FUZZY INTEGER
PROGRAMMING
Fethi
Jarray
Laboratoire CEDRIC-CNAM, 292 rue St-Martin, 75003 Paris, France,
Gabes University of Sciences, 6072 Gabes, Tunisia
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
41
48
http://ijfs.usb.ac.ir/article_235_665d416a9509a1786df4be6c203977f0.pdf
dx.doi.org/10.22111/ijfs.2011.235
MODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL
VALUE PROBLEMS
Omid
Solaymani Fard
School of Mathematics and Computer Science, Damghan
University, Damghan, Iran
author
Ali
Vahidian Kamyad
Department of Mathematics, Ferdowsi University of Mashhad,
Mashhad, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
49
63
http://ijfs.usb.ac.ir/article_236_a45147c5661d20b5db9030a06ea49fe5.pdf
dx.doi.org/10.22111/ijfs.2011.236
On $n$-ary Hypergroups and Fuzzy $n$-ary Homomorphism
O.
Kazancı
Department of Mathematics, Karadeniz Technical University,61080,
Trabzon, Turkey
author
S.
Yamak
Department of Mathematics, Karadeniz Technical University,61080, Trabzon,
Turkey
author
B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
author
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
65
76
http://ijfs.usb.ac.ir/article_237_ea23a937b8bfe7d93a4e7c3e69a6bbc5.pdf
dx.doi.org/10.22111/ijfs.2011.237
FUZZIFYING CLOSURE SYSTEMS AND CLOSURE
OPERATORS
Xiaoli
Luo
Department of Mathematics, Ocean University of China, Qingdao 266071,
People’s Republic of China
author
Jinming
Fang
Department of Mathematics, Ocean University of China, Qingdao
266071, People’s Republic of China
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
77
94
http://ijfs.usb.ac.ir/article_239_4b07e5de579748d34a7d4f9ffee36621.pdf
dx.doi.org/10.22111/ijfs.2011.239
SEMISIMPLE SEMIHYPERGROUPS IN TERMS OF
HYPERIDEALS AND FUZZY HYPERIDEALS
Piergiulio
Corsini
Department of Civil Engineering and Architecture, Via delle
Scienze 206, 33100 Udine, Italy
author
Muhammad
Shabir
Department of Mathematics, Quaid-i-Azam University, Islamabad-
45320, Pakistan
author
Tariq
Mahmood
Department of Mathematics, Quaid-i-Azam University, Islamabad-
45320, Pakistan
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
95
111
http://ijfs.usb.ac.ir/article_255_bb68e07ae3f0a44c6e035530baa661f9.pdf
dx.doi.org/10.22111/ijfs.2011.255
SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA
khadijeh
Abolpour
Department of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran
author
Mohammad Mehdi
Zahedi
Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
author
Masoome
Golmohamadian
Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
113
134
http://ijfs.usb.ac.ir/article_256_71305226c332631bc2f1b6569fe5e508.pdf
dx.doi.org/10.22111/ijfs.2011.256
NORM AND INNER PRODUCT ON FUZZY LINEAR SPACES
OVER FUZZY FIELDS
C. P.
Santhosh
Department of Mathematical Sciences, Kannur University, Man-
gattuparamba, Kannur, Kerala, 670 567, India.
author
T. V.
Ramakrishnan
Department of Mathematical Sciences, Kannur University, Man-
gattuparamba, Kannur, Kerala, 670 567, India.
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
135
144
http://ijfs.usb.ac.ir/article_257_86f80c9af851736ee66c2d110c3055f3.pdf
dx.doi.org/10.22111/ijfs.2011.257
VAGUE RINGS AND VAGUE IDEALS
Sevda
Sezer
Faculty of Education, Akdeniz University, 07058, Antalya, Turkey
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
145
157
http://ijfs.usb.ac.ir/article_258_c7c6d1457f353b46765c5eee7dd0ef9b.pdf
dx.doi.org/10.22111/ijfs.2011.258
Persian-translation vol.8,no.1- February 2011
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
1
no.
2011
161
171
http://ijfs.usb.ac.ir/article_2875_306b1941e5189f522993186d670bc66f.pdf
dx.doi.org/10.22111/ijfs.2011.2875