2018-02-25T01:07:41Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=59
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
Cover vol. 8, no. 2, June 2011
2011
06
28
0
http://ijfs.usb.ac.ir/article_2872_9c5871395928c89e9f42cf3a6911447f.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
POWERSET OPERATOR FOUNDATIONS FOR CATALG FUZZY
SET THEORIES
Sergey A.
Solovyov
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.
(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)
2011
06
16
1
46
http://ijfs.usb.ac.ir/article_259_70ec1ad6ec163ed0aae61e0371fe26ac.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
ACCEPTANCE SINGLE SAMPLING PLAN
WITH FUZZY PARAMETER
Bahram
Sadeghpour Gildeh
Ezzatallah
Baloui Jamkhaneh
Gholamhossein
Yari
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.
Statistical quality control
Single sampling plan
Fuzzy number
Fuzzy
probability of acceptance
2011
06
17
47
55
http://ijfs.usb.ac.ir/article_272_418a9022650750f9cf0335d218551f21.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
CREDIBILISTIC PARAMETER ESTIMATION AND ITS
APPLICATION IN FUZZY PORTFOLIO SELECTION
Xiang
Li
Zhongfeng
Qin
Dan
Ralescu
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.
Normal fuzzy variable
Credibility theory
Condence interval
Point
estimation
Portfolio selection
2011
06
17
57
65
http://ijfs.usb.ac.ir/article_276_d8874dd3f7ef8e982def5dc5a05f1138.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
LATTICE-VALUED CATEGORIES OF LATTICE-VALUED
CONVERGENCE SPACES
Gunther
Jager
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.
L-fuzzy convergence
L-topology
L-lter
L-limit space
L-category
Fuzzy category
2011
06
17
67
89
http://ijfs.usb.ac.ir/article_277_79566496e14adbdda02f6a7a00901123.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
$(A)_ {Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function
E.
Savas
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.
Orlicz function
Double statistical convergence
Fuzzy
number
2011
06
17
91
103
http://ijfs.usb.ac.ir/article_278_ef2ae7f0cde58ba40cbfd7dc90d5c603.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER
BCK-ALGEBRAS
Young Bae
Jun
Min Su
Kang
Hee Sik
Kim
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.
(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
2011
06
17
105
120
http://ijfs.usb.ac.ir/article_279_f6c72ec3d3126db90f5abc49dbb8e610.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
NET-THEORETICAL L-GENERALIZED
CONVERGENCE SPACES
Wei
Yao
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.
Net
(Net-theoretical) L-generalized convergence space
(Enriched)
L-fuzzy topological space
Cartesian-closed category
2011
06
17
121
131
http://ijfs.usb.ac.ir/article_280_9316551223b467dab2248c0332fe0d3d.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
GENERALIZED REGULAR FUZZY MATRICES
A. R.
Meenakshi
P.
Jenita
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.
Fuzzy matrices
K-regular fuzzy matrices
Index
period
2011
06
17
133
141
http://ijfs.usb.ac.ir/article_281_419deaac4d3074913d6a23fcc112230c.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL
SPACES
Ramkrishna
Thakur
S. K.
Samanta
K. K.
Mondal
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.
Fuzzy belongingness
Fuzzy quasi-coincidence
Gradation of openness
Gradation of neighborhoodness
Fuzzy topological spaces
Fuzzy filters
Graded continuity
2011
06
17
143
159
http://ijfs.usb.ac.ir/article_282_d0a6af44b663cec5b8dab7fa087edf53.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
2
Persian-translation vol. 8, no. 2, June 2011
2011
06
28
163
171
http://ijfs.usb.ac.ir/article_2873_40e3f20f6eb514fd5ac11e3db5c126b9.pdf