eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-03-02
8
1
0
10.22111/ijfs.2011.2874
2874
Cover vol.8,no.1- February 2011
http://ijfs.usb.ac.ir/article_2874_b146a1210c1b6737839b7a108b742ce0.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-11
8
1
1
17
10.22111/ijfs.2011.232
232
مقاله پژوهشی
FUZZY LOGISTIC REGRESSION: A NEW POSSIBILISTIC
MODEL AND ITS APPLICATION IN
CLINICAL VAGUE STATUS
Saeedeh Pourahmad
pourahmad@sums.ac.ir
1
S. Mohammad Taghi Ayatollahi
ayatolahim@sums.ac.ir
2
S. Mahmoud Taheri
sm_taheri@yahoo.com
3
Department of Biostatistics, School of Medicine, Shiraz University
of Medical Sciences, Shiraz, 71345-1874, Iran
Department of Biostatistics, School of Medicine,
Shiraz University of Medical Sciences, Shiraz, 71345-1874, Iran
Department of Mathematical Sciences, Isfahan University of
Technology, Isfahan, 84156-83111, Iran
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.
http://ijfs.usb.ac.ir/article_232_ab7ae3d9f840627e8888c9450131cbb6.pdf
Logistic regression
Clinical research
Fuzzy logistic regression
Possibilistic
odds
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-11
8
1
19
28
10.22111/ijfs.2011.233
233
مقاله پژوهشی
TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES
mati Abel
mati.abel@ut.ee
1
aleksandrs ˇSostaks
2
Institute of Pure Mathematics, University of Tartu, J.Liivi street 2,
EE-50409 Tartu, Estonia
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
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.
http://ijfs.usb.ac.ir/article_233_1ad45ef27bcc863221cb4c71a4ff9e4b.pdf
Bornology
$L$-set
$L$-bornology
Fuzzy set
Fuzzy topology
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-11
8
1
29
39
10.22111/ijfs.2011.234
234
مقاله پژوهشی
ORDERED INTUITIONISTIC FUZZY SOFT
MODEL OF FLOOD ALARM
Sunny Joseph Kalayathankal
sunnyjose2000@yahoo.com
1
G. Suresh Singh
2
P. B. Vinodkumar
3
Sabu Joseph
4
Jobin Thomas
5
Department of Mathematics, K.E.College, Mannanam,
Kottayam, 686561, Kerala, India
Department of Mathematics, University of Kerala, Trivandrum,
695581, Kerala, India
Department of Mathematics, Rajagiri School of Engineering &
Technology, Cochin, Kerala, India
Department of Environmental Science, University of Kerala, Trivan-
drum, Kerala, India
Department of Environmental Science, University of Kerala, Trivan-
drum, Kerala, India
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.
http://ijfs.usb.ac.ir/article_234_35cde19badb331cea8f2e50565ae547a.pdf
Rainfall
Intuitionistic fuzzy soft set
Flood
Simulation
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-11
8
1
41
48
10.22111/ijfs.2011.235
235
مقاله پژوهشی
DISCRETE TOMOGRAPHY AND FUZZY INTEGER
PROGRAMMING
Fethi Jarray
fethi.jarray@cnam.fr
1
Laboratoire CEDRIC-CNAM, 292 rue St-Martin, 75003 Paris, France,
Gabes University of Sciences, 6072 Gabes, Tunisia
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.
http://ijfs.usb.ac.ir/article_235_665d416a9509a1786df4be6c203977f0.pdf
Discrete tomography
F uzzy integer programming
Image
reconstruction
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-11
8
1
49
63
10.22111/ijfs.2011.236
236
مقاله پژوهشی
MODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL
VALUE PROBLEMS
Omid Solaymani Fard
osfard@du.ac.ir, omidsfard@gmail.com
1
Ali Vahidian Kamyad
avkamyad@math.um.ac.ir
2
School of Mathematics and Computer Science, Damghan
University, Damghan, Iran
Department of Mathematics, Ferdowsi University of Mashhad,
Mashhad, Iran
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.
http://ijfs.usb.ac.ir/article_236_a45147c5661d20b5db9030a06ea49fe5.pdf
Fuzzy numbers
Fuzzy differential equations
Modified k-step method
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-12
8
1
65
76
10.22111/ijfs.2011.237
237
مقاله پژوهشی
On $n$-ary Hypergroups and Fuzzy $n$-ary Homomorphism
O. Kazancı
kazancio@yahoo.com
1
S. Yamak
syamak@ktu.edu.tr
2
B. Davvaz
davvaz@yazduni.ac.ir
3
Department of Mathematics, Karadeniz Technical University,61080,
Trabzon, Turkey
Department of Mathematics, Karadeniz Technical University,61080, Trabzon,
Turkey
Department of Mathematics, Yazd University, Yazd, Iran
http://ijfs.usb.ac.ir/article_237_ea23a937b8bfe7d93a4e7c3e69a6bbc5.pdf
Hypergroup
$n$-ary hypergroup
Fuzzy set
$n$-ary sub-hypergroup
Fuzzy $n$-ary sub-hypergroup
$n$-ary homomorphism
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-13
8
1
77
94
10.22111/ijfs.2011.239
239
مقاله پژوهشی
FUZZIFYING CLOSURE SYSTEMS AND CLOSURE
OPERATORS
Xiaoli Luo
luosixi@yahoo.cn
1
Jinming Fang
jinming-fang@163.com
2
Department of Mathematics, Ocean University of China, Qingdao 266071,
People’s Republic of China
Department of Mathematics, Ocean University of China, Qingdao
266071, People’s Republic of China
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.
http://ijfs.usb.ac.ir/article_239_4b07e5de579748d34a7d4f9ffee36621.pdf
Fuzzifying closure operator
Fuzzifying closure system
Isomorphism
of categories
Embedding of categories
Fuzzifying remote neighborhood system
Separation axioms
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-15
8
1
95
111
10.22111/ijfs.2011.255
255
مقاله پژوهشی
SEMISIMPLE SEMIHYPERGROUPS IN TERMS OF
HYPERIDEALS AND FUZZY HYPERIDEALS
Piergiulio Corsini
piergiulio.corsini@uniud.it, corsini2002@yahoo.com
1
Muhammad Shabir
mshabirbhatti@yahoo.co.uk
2
Tariq Mahmood
tmhn3367@gmail.com
3
Department of Civil Engineering and Architecture, Via delle
Scienze 206, 33100 Udine, Italy
Department of Mathematics, Quaid-i-Azam University, Islamabad-
45320, Pakistan
Department of Mathematics, Quaid-i-Azam University, Islamabad-
45320, Pakistan
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.
http://ijfs.usb.ac.ir/article_255_bb68e07ae3f0a44c6e035530baa661f9.pdf
Semihypergroups
Prime (semiprime) hyperideals of semihypergroups
Prime (semiprime) fuzzy hyperideals of semihypergroups
Semisimple semihypergroups
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-16
8
1
113
134
10.22111/ijfs.2011.256
256
مقاله پژوهشی
SOME HYPER K-ALGEBRAIC STRUCTURES INDUCED BY
MAX-MIN GENERAL FUZZY AUTOMATA
khadijeh Abolpour
abolpor kh@yahoo.com
1
Mohammad Mehdi Zahedi
zahedi mm@modares.ac.ir
2
Masoome Golmohamadian
3
Department of Mathematics, Islamic Azad University, Kerman
Branch, Kerman, Iran
Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_256_71305226c332631bc2f1b6569fe5e508.pdf
(Positive implicative) Commutative hyper K-ideal
(Bounded) Hyper
BCK-algebra
Hyper BCK-ideal
Max-min general fuzzy automata
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-16
8
1
135
144
10.22111/ijfs.2011.257
257
مقاله پژوهشی
NORM AND INNER PRODUCT ON FUZZY LINEAR SPACES
OVER FUZZY FIELDS
C. P. Santhosh
santhoshcpchu@yahoo.co.in
1
T. V. Ramakrishnan
ramakrishnantv@rediffmail.com
2
Department of Mathematical Sciences, Kannur University, Man-
gattuparamba, Kannur, Kerala, 670 567, India.
Department of Mathematical Sciences, Kannur University, Man-
gattuparamba, Kannur, Kerala, 670 567, India.
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.
http://ijfs.usb.ac.ir/article_257_86f80c9af851736ee66c2d110c3055f3.pdf
Fuzzy fields
Fuzzy linear spaces
Norm on fuzzy linear spaces
Inner
product on fuzzy linear spaces
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-02-16
8
1
145
157
10.22111/ijfs.2011.258
258
مقاله پژوهشی
VAGUE RINGS AND VAGUE IDEALS
Sevda Sezer
sevdasezer@yahoo.com , sevdasezer@akdeniz.edu.tr
1
Faculty of Education, Akdeniz University, 07058, Antalya, Turkey
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.
http://ijfs.usb.ac.ir/article_258_c7c6d1457f353b46765c5eee7dd0ef9b.pdf
Vague group
Generalized vague subgroup
Vague ring
Vague subring
Vague ideal
Vague prime ideal
Vague maximal ideal
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-03-02
8
1
161
171
10.22111/ijfs.2011.2875
2875
Persian-translation vol.8,no.1- February 2011
http://ijfs.usb.ac.ir/article_2875_306b1941e5189f522993186d670bc66f.pdf