eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-28
8
2
0
10.22111/ijfs.2011.2872
2872
Cover vol. 8, no. 2, June 2011
http://ijfs.usb.ac.ir/article_2872_9c5871395928c89e9f42cf3a6911447f.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-16
8
2
1
46
10.22111/ijfs.2011.259
259
مقاله پژوهشی
POWERSET OPERATOR FOUNDATIONS FOR CATALG FUZZY
SET THEORIES
Sergey A. Solovyov
sergejs.solovjovs@lu.lv
1
Department of Mathematics, University of Latvia, Zellu iela 8,
LV-1002 Riga, Latvia and Institute of Mathematics and Computer Science, University
of Latvia, Raina bulvaris 29, LV-1459 Riga, Latvia
The paper sets forth in detail categorically-algebraic or catalg foundations for the operations of taking the image and preimage of (fuzzy) sets called forward and backward powerset operators. Motivated by an open question of S. E. Rodabaugh, we construct a monad on the category of sets, the algebras of which generate the fixed-basis forward powerset operator of L. A. Zadeh. On the next step, we provide a direct lift of the backward powerset operator using the notion of categorical biproduct. The obtained framework is readily extended to the variable-basis case, justifying the powerset theories currently popular in the fuzzy community. At the end of the paper, our general variety-based setting postulates the requirements, under which a convenient variety-based powerset theory can be developed, suitable for employment in all areas of fuzzy mathematics dealing with fuzzy powersets, including fuzzy algebra, logic and topology.
http://ijfs.usb.ac.ir/article_259_70ec1ad6ec163ed0aae61e0371fe26ac.pdf
(Backward
forward) powerset (operator
theory), (Bi
co) product,
(Composite) (variety-based) topological (space
system), (Convenient) variety, Ground category,
(L-) fuzzy set, (Localic) algebra, Monadic (category
logic), Ordered category, Pointed category,
Quantaloid, (Semi-) quantale, (Unital) (quantale
ring) (algebra
module), Zero (morphism
object)
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
47
55
10.22111/ijfs.2011.272
272
مقاله پژوهشی
ACCEPTANCE SINGLE SAMPLING PLAN
WITH FUZZY PARAMETER
Bahram Sadeghpour Gildeh
sa deg hpour@umz.ac.ir
1
Ezzatallah Baloui Jamkhaneh
e_baloui2008@yahoo.com
2
Gholamhossein Yari
yari@iust.ac.ir
3
Department of Statistics, Faculty of Basic Science,
University of Mazandaran, P.O. Box 311, Babolsar, Iran
PhD student, Science and Research Branch, Islamic
Azad University (IAU), Tehran, Iran
Iran University of Science and Technology, Tehran, Iran
The acceptance sampling plan problem is an important topic inquality control and both the theory of probability and theory of fuzzy sets maybe used to solve it. In this paper, we discuss the single acceptance samplingplan, when the proportion of nonconforming products is a fuzzy number. We
show that the operating characteristic (𝑂𝐶) curve of the plan is a band havinghigh and low bounds and that for fixed sample size and acceptance number,the width of the band depends on the ambiguity proportion parameter in thelot. When the acceptance number equals zero, this band is convex and the
convexity increases with 𝑛 Finally, we compare the 𝑂𝐶 bands for a given value of 𝑐.
http://ijfs.usb.ac.ir/article_272_418a9022650750f9cf0335d218551f21.pdf
Statistical quality control
Single sampling plan
Fuzzy number
Fuzzy
probability of acceptance
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
57
65
10.22111/ijfs.2011.276
276
مقاله پژوهشی
CREDIBILISTIC PARAMETER ESTIMATION AND ITS
APPLICATION IN FUZZY PORTFOLIO SELECTION
Xiang Li
xiang-li04@mail.tsinghua.edu.cn
1
Zhongfeng Qin
qin@buaa.edu.cn
2
Dan Ralescu
ralescd@uc.edu
3
The State Key Laboratory of Rail Traffic Control and Safety, Beijing
Jiaotong University, Beijing 100044, China
School of Economics and Management, Beihang University, Beijing
100191, China
Department of Mathematical Sciences, University of Cincinnati, Cincin-
nati, Ohio 45221, USA
In this paper, a maximum likelihood estimation and a minimum entropy estimation for the expected value and variance of normal fuzzy variable are discussed within the framework of credibility theory. As an application, a credibilistic portfolio selection model is proposed, which is an improvement over the traditional models as it only needs the predicted values on the security returns instead of their membership functions.
http://ijfs.usb.ac.ir/article_276_d8874dd3f7ef8e982def5dc5a05f1138.pdf
Normal fuzzy variable
Credibility theory
Condence interval
Point
estimation
Portfolio selection
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
67
89
10.22111/ijfs.2011.277
277
مقاله پژوهشی
LATTICE-VALUED CATEGORIES OF LATTICE-VALUED
CONVERGENCE SPACES
Gunther Jager
g.jager@ru.ac.za
1
Department of Statistics, Rhodes University, 6140 Grahamstown,
South Africa
We study L-categories of lattice-valued convergence spaces. Suchcategories are obtained by fuzzifying" the axioms of a lattice-valued convergencespace. We give a natural example, study initial constructions andfunction spaces. Further we look into some L-subcategories. Finally we usethis approach to quantify how close certain lattice-valued convergence spacesare to being lattice-valued topological spaces.
http://ijfs.usb.ac.ir/article_277_79566496e14adbdda02f6a7a00901123.pdf
L-fuzzy convergence
L-topology
L-lter
L-limit space
L-category
Fuzzy category
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
91
103
10.22111/ijfs.2011.278
278
مقاله پژوهشی
$(A)_ {Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function
E. Savas
ekremsavas@yahoo.com
1
Istanbul Ticaret University, Department of Mathematics, Uskudar-Istanbul,
Turkey
The aim of this paper is to introduce and study a new concept ofstrong double $(A)_ {Delta}$-convergent sequence offuzzy numbers with respect to an Orlicz function and also someproperties of the resulting sequence spaces of fuzzy numbers areexamined. In addition, we define the double$(A,Delta)$-statistical convergence of fuzzy numbers andestablish some connections between the spaces of strong double$(A)_ {Delta}$-convergent sequence and double $(A,Delta)$-statistical convergent sequence.
http://ijfs.usb.ac.ir/article_278_ef2ae7f0cde58ba40cbfd7dc90d5c603.pdf
Orlicz function
Double statistical convergence
Fuzzy
number
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
105
120
10.22111/ijfs.2011.279
279
مقاله پژوهشی
BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER
BCK-ALGEBRAS
Young Bae Jun
skywine@gmail.com
1
Min Su Kang
sinchangmyun@hanmail.net
2
Hee Sik Kim
heekim@hanyang.ac.kr
3
Department of Mathematics Education (and RINS), Gyeongsang National
University, Chinju 660-701, Korea
Department of Mathematics, Hanyang University, Seoul 133-791, Korea
Department of Mathematics, Hanyang University, Seoul 133-791, Korea
Using the notion of bipolar-valued fuzzy sets, the concepts of bipolarfuzzy (weak, 𝑠-weak, strong) hyper BCK-ideals are introduced, and theirrelations are discussed. Moreover, several related properties are investigated.
http://ijfs.usb.ac.ir/article_279_f6c72ec3d3126db90f5abc49dbb8e610.pdf
(Strong
weak
s-weak) hyper BCK-ideal
Bipolar fuzzy hyper BCKideal
Bipolar fuzzy strong hyper BCK-ideal
Bipolar fuzzy weak hyper BCK-ideal
Bipolar fuzzy
s-weak hyper BCK-ideal
inf-sup property
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
121
131
10.22111/ijfs.2011.280
280
مقاله پژوهشی
NET-THEORETICAL L-GENERALIZED
CONVERGENCE SPACES
Wei Yao
yaowei0516@163.com
1
Department of Mathematics, Hebei University of Science and Technology,
Shijiazhuang 050018, P.R. China
In this paper, the denition of net-theoretical L-generalized convergencespaces is proposed. It is shown that, for L a frame, the category ofenriched L-fuzzy topological spaces can be embedded in that of L-generalizedconvergence spaces as a reective subcategory and the latter is a cartesianclosedtopological category.
http://ijfs.usb.ac.ir/article_280_9316551223b467dab2248c0332fe0d3d.pdf
Net
(Net-theoretical) L-generalized convergence space
(Enriched)
L-fuzzy topological space
Cartesian-closed category
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
133
141
10.22111/ijfs.2011.281
281
مقاله پژوهشی
GENERALIZED REGULAR FUZZY MATRICES
A. R. Meenakshi
arm meenakshi@yahoo.co.in
1
P. Jenita
sureshjenita@yahoo.co.in
2
Department of Mathematics, Karpagam college of Engineering,
Coimbatore 641 032, India
Department of Mathematics, Karpagam college of Engineering, Coimbat-
ore 641 032, India
In this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. This leads to the characterization of a matrix for which the regularity index and the index are identical. Further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.
http://ijfs.usb.ac.ir/article_281_419deaac4d3074913d6a23fcc112230c.pdf
Fuzzy matrices
K-regular fuzzy matrices
Index
period
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-17
8
2
143
159
10.22111/ijfs.2011.282
282
مقاله پژوهشی
GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL
SPACES
Ramkrishna Thakur
thakurram06@gmail.com
1
S. K. Samanta
syamal 123@yahoo.co.in
2
K. K. Mondal
krishnakmondal@yahoo.co.in
3
Department of Mathematics, Visva-Bharati, Santiniketan-731235,
West Bengal, India
Department of Mathematics, Visva-Bharati, Santiniketan-731235,
West Bengal, India
Department of Mathematics, Kurseong College, Kurseong-734203,
West Bengal, India
In this paper we introduce a definition of gradation of continuity ingraded fuzzy topological spaces and study its various characteristic properties.The impact of the grade of continuity of mappings over the N-compactnessgrade is examined. Concept of gradation is also introduced in openness, closed-ness, homeomorphic properties of mappings and T2 separation axiom. Effectof the grades interrelated with N-compactness, closedness, T2 separation andhomeomorphism of mappings are studied.
http://ijfs.usb.ac.ir/article_282_d0a6af44b663cec5b8dab7fa087edf53.pdf
Fuzzy belongingness
Fuzzy quasi-coincidence
Gradation of openness
Gradation of neighborhoodness
Fuzzy topological spaces
Fuzzy filters
Graded continuity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2011-06-28
8
2
163
171
10.22111/ijfs.2011.2873
2873
Persian-translation vol. 8, no. 2, June 2011
http://ijfs.usb.ac.ir/article_2873_40e3f20f6eb514fd5ac11e3db5c126b9.pdf