Cover vol. 8, no. 2, June 2011
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
0
http://ijfs.usb.ac.ir/article_2872_9c5871395928c89e9f42cf3a6911447f.pdf
dx.doi.org/10.22111/ijfs.2011.2872
POWERSET OPERATOR FOUNDATIONS FOR CATALG FUZZY
SET THEORIES
Sergey A.
Solovyov
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
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
1
46
http://ijfs.usb.ac.ir/article_259_70ec1ad6ec163ed0aae61e0371fe26ac.pdf
dx.doi.org/10.22111/ijfs.2011.259
ACCEPTANCE SINGLE SAMPLING PLAN
WITH FUZZY PARAMETER
Bahram
Sadeghpour Gildeh
Department of Statistics, Faculty of Basic Science,
University of Mazandaran, P.O. Box 311, Babolsar, Iran
author
Ezzatallah
Baloui Jamkhaneh
PhD student, Science and Research Branch, Islamic
Azad University (IAU), Tehran, Iran
author
Gholamhossein
Yari
Iran University of Science and Technology, Tehran, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
47
55
http://ijfs.usb.ac.ir/article_272_418a9022650750f9cf0335d218551f21.pdf
dx.doi.org/10.22111/ijfs.2011.272
CREDIBILISTIC PARAMETER ESTIMATION AND ITS
APPLICATION IN FUZZY PORTFOLIO SELECTION
Xiang
Li
The State Key Laboratory of Rail Traffic Control and Safety, Beijing
Jiaotong University, Beijing 100044, China
author
Zhongfeng
Qin
School of Economics and Management, Beihang University, Beijing
100191, China
author
Dan
Ralescu
Department of Mathematical Sciences, University of Cincinnati, Cincin-
nati, Ohio 45221, USA
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
57
65
http://ijfs.usb.ac.ir/article_276_d8874dd3f7ef8e982def5dc5a05f1138.pdf
dx.doi.org/10.22111/ijfs.2011.276
LATTICE-VALUED CATEGORIES OF LATTICE-VALUED
CONVERGENCE SPACES
Gunther
Jager
Department of Statistics, Rhodes University, 6140 Grahamstown,
South Africa
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
67
89
http://ijfs.usb.ac.ir/article_277_79566496e14adbdda02f6a7a00901123.pdf
dx.doi.org/10.22111/ijfs.2011.277
$(A)_ {\Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function
E.
Savas
Istanbul Ticaret University, Department of Mathematics, Uskudar-Istanbul,
Turkey
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
91
103
http://ijfs.usb.ac.ir/article_278_ef2ae7f0cde58ba40cbfd7dc90d5c603.pdf
dx.doi.org/10.22111/ijfs.2011.278
BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER
BCK-ALGEBRAS
Young Bae
Jun
Department of Mathematics Education (and RINS), Gyeongsang National
University, Chinju 660-701, Korea
author
Min Su
Kang
Department of Mathematics, Hanyang University, Seoul 133-791, Korea
author
Hee Sik
Kim
Department of Mathematics, Hanyang University, Seoul 133-791, Korea
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
105
120
http://ijfs.usb.ac.ir/article_279_f6c72ec3d3126db90f5abc49dbb8e610.pdf
dx.doi.org/10.22111/ijfs.2011.279
NET-THEORETICAL L-GENERALIZED
CONVERGENCE SPACES
Wei
Yao
Department of Mathematics, Hebei University of Science and Technology,
Shijiazhuang 050018, P.R. China
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
121
131
http://ijfs.usb.ac.ir/article_280_9316551223b467dab2248c0332fe0d3d.pdf
dx.doi.org/10.22111/ijfs.2011.280
GENERALIZED REGULAR FUZZY MATRICES
A. R.
Meenakshi
Department of Mathematics, Karpagam college of Engineering,
Coimbatore 641 032, India
author
P.
Jenita
Department of Mathematics, Karpagam college of Engineering, Coimbat-
ore 641 032, India
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
133
141
http://ijfs.usb.ac.ir/article_281_419deaac4d3074913d6a23fcc112230c.pdf
dx.doi.org/10.22111/ijfs.2011.281
GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL
SPACES
Ramkrishna
Thakur
Department of Mathematics, Visva-Bharati, Santiniketan-731235,
West Bengal, India
author
S. K.
Samanta
Department of Mathematics, Visva-Bharati, Santiniketan-731235,
West Bengal, India
author
K. K.
Mondal
Department of Mathematics, Kurseong College, Kurseong-734203,
West Bengal, India
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
143
159
http://ijfs.usb.ac.ir/article_282_d0a6af44b663cec5b8dab7fa087edf53.pdf
dx.doi.org/10.22111/ijfs.2011.282
Persian-translation vol. 8, no. 2, June 2011
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
2
no.
2011
163
171
http://ijfs.usb.ac.ir/article_2873_40e3f20f6eb514fd5ac11e3db5c126b9.pdf
dx.doi.org/10.22111/ijfs.2011.2873