2018-05-23T05:10:33Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=62
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
Cover Special Issue vol. 8, no. 5, October 2011-
2011
10
29
0
http://ijfs.usb.ac.ir/article_2866_7c95e1e920951e2eb9a6e5bcecdb68b0.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
FUZZY ORDERED SETS AND DUALITY FOR FINITE FUZZY
DISTRIBUTIVE LATTICES
Abdelaziz
Amroune
Bijan
Davvaz
The starting point of this paper is given by Priestley’s papers,
where a theory of representation of distributive lattices is presented. The purpose
of this paper is to develop a representation theory of fuzzy distributive
lattices in the finite case. In this way, some results of Priestley’s papers are
extended. In the main theorem, we show that the category of finite fuzzy
Priestley spaces is equivalent to the dual of the category of finite fuzzy distributive
lattices. Several examples are also presented.
Fuzzy ordered relation
Fuzzy ordered set
Fuzzy lattice
Fuzzy Priestley
space
Homomorphism of fuzzy lattices
Homomorphism of fuzzy Priestley spaces
2011
10
06
1
12
http://ijfs.usb.ac.ir/article_294_0585ff76677fb9b648afed68597a373f.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF
VARIETY-BASED TOPOLOGICAL SYSTEMS
Sergey A.
Solovyov
Motivated by the recent study on categorical properties of latticevalued
topology, the paper considers a generalization of the notion of topological
system introduced by S. Vickers, providing an algebraic and a coalgebraic
category of the new structures. As a result, the nature of the category
TopSys
of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalued)
topology can be embedded into algebra.
Algebra
(Co)algebraic category
(Co)re
ective subcategory
Latticevalued
topology
Powerset operator
S-quantale
Topological category
Topological system
Variety
2011
10
06
13
30
http://ijfs.usb.ac.ir/article_295_78807b744112194d3dde64cbaf1cf650.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
ALGEBRAIC GENERATIONS OF SOME FUZZY POWERSET
OPERATORS
Qi-Ye
Zhang
In this paper, let $L$ be a completeresiduated lattice, and let {bf Set} denote the category of setsand mappings, $LF$-{bf Pos} denote the category of $LF$-posets and$LF$-monotone mappings, and $LF$-{bf CSLat}$(sqcup)$, $LF$-{bfCSLat}$(sqcap)$ denote the category of $LF$-completelattices and $LF$-join-preserving mappings and the category of$LF$-complete lattices and $LF$-meet-preserving mappings, respectively. It isproved that there are adjunctions between {bf Set} and $LF$-{bf CSLat}$(sqcup)$, between $LF$-{bfPos} and $LF$-{bf CSLat}$(sqcup)$, and between $LF$-{bf Pos} and$LF$-{bf CSLat}$(sqcap)$, that is, {bf Set}$dashv LF$-{bf CSLat}$(sqcup)$, $LF$-{bfPos}$dashv LF$-{bf CSLat}$(sqcup)$, and $LF$-{bf Pos}$dashv$$LF$-{bf CSLat}$(sqcap)$. And a usual mapping $f$ generates thetraditional Zadeh forward powerset operator $f_L^rightarrow$ andthe fuzzy forward powerset operators $widetilde{f}^rightarrow,widetilde{f}_ast^rightarrow, widetilde{f}^{astrightarrow}$defined by the author et al via these adjunctions. Moreover, it is also shownthat all the fuzzy powerset operators mentioned above can be generated by the underlying algebraic theories.
Complete residuated lattice
$L$-fuzzy poset
Category
Adjunction
Algebraic theory
Powerset theory
Algebraic generation
2011
10
06
31
58
http://ijfs.usb.ac.ir/article_296_80d019c2a46e66b3c7ab1031e2569b3e.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
NEW DIRECTION IN FUZZY TREE AUTOMATA
S.
Moghari
M. M.
Zahedi
R.
Ameri
In this paper, our focus of attention is the proper propagationof fuzzy degrees in determinization of $Nondeterministic$ $Fuzzy$$Finite$ $Tree$ $Automata$ (NFFTA). Initially, two determinizationmethods are introduced which have some limitations (one inbehavior preserving and other in type of fuzzy operations). Inorder to eliminate these limitations and increasing theefficiency of FFTA, we define the notion of fuzzy complex stateand $Complex$ $FFTA$ (CFFTA). Also, we define$nabla$-normalization operation in algebra of fuzzy complexstate to solve the multi membership state problem in fuzzyautomata. Furthermore, we discuss the relationship between FFTAand CFFTA. Finally, determinization of CFFTA is presented.
Fuzzy tree automata
Complex fuzzy tree automata
Determinization
2011
10
06
59
68
http://ijfs.usb.ac.ir/article_297_0c27ea3b6611895f9ba1d96628fb269a.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
THE CONNECTION BETWEEN SOME EQUIVALENCE
RELATIONS ON FUZZY SUBGROUPS
Ali
Iranmanesh
Hossein
Naraghi
This paper, deals with some equivalence relations in fuzzy subgroups.
Further the probability of commuting two fuzzy subgroups of some
finite abelian groups is defined.
Dihedral group
Equivalence relation
Fuzzy subgroups
Finite cyclic
group
p − group
Probability
2011
10
06
69
80
http://ijfs.usb.ac.ir/article_298_9700a0526c25c8f4d3ca42e4af01ae3f.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS
Yunqiang
Yin
Jianming
Zhan
Xiaokun
Huang
By means of a kind of new idea, we consider the $(in,ivq)$-fuzzy$h$-ideals of a hemiring. First, the concepts of $(in,ivq)$-fuzzyleft(right) $h$-ideals of a hemiring are provided and some relatedproperties are investigated. Then, a kind of quotient hemiring ofa hemiring by an $(in,ivq)$-fuzzy $h$-ideal is presented andstudied. Moreover, the notions of generalized $varphi$-compatible$(in,ivq)$-fuzzy left(right) $h$-ideals of a hemiring areintroduced and some properties of them are provided. Finally, therelationships among $(in,ivq)$-fuzzy $h$-ideals, quotienthemirings and homomorphisms are explored and several homomorphismtheorems are provided.
Hemiring
$(in
ivq)$-fuzzy
left(right) $h$-ideals
Generalized $varphi$-compatible
$(in
ivq)$-fuzzy left(right) $h$-ideals
2011
10
06
81
101
http://ijfs.usb.ac.ir/article_299_aaa3f3b3c23fef1a9e66044b328b54d2.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
FUZZY REFLEXIVITY OF FELBIN'S TYPE FUZZY NORMED
LINEAR SPACES AND FIXED POINT THEOREMS
IN SUCH SPACES
T.
Bag
S. K.
Samanta
An idea of fuzzy reexivity of Felbin's type fuzzy normed linear
spaces is introduced and its properties are studied. Concept of fuzzy uniform
normal structure is given and using the geometric properties of this concept
xed point theorems are proved in fuzzy normed linear spaces.
Fuzzy normed linear space
Fuzzy re
exive space
Fuzzy uniform
normal structure
Fixed point theorem
2011
10
06
103
115
http://ijfs.usb.ac.ir/article_300_624227350b1d0dcbab964c4fb90430d5.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND
FUZZY BOUNDED OPERATORS
Mohammad
Janfada
Hamid
Baghani
Omid
Baghani
In this note, we aim to present some properties of the space of all
weakly fuzzy bounded linear operators, with the Bag and Samanta’s operator
norm on Felbin’s-type fuzzy normed spaces. In particular, the completeness
of this space is studied. By some counterexamples, it is shown that the inverse
mapping theorem and the Banach-Steinhaus’s theorem, are not valid for
this fuzzy setting. Also finite dimensional normed fuzzy spaces are considered
briefly. Next, a Hahn-Banach theorem for weakly fuzzy bounded linear
functional with some of its applications are established.
Fuzzy analysis
Fuzzy number
Fuzzy relations
2011
10
06
117
130
http://ijfs.usb.ac.ir/article_301_74ebb1ab54f2a83281a4bc5d5a3a8241.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
GRADUAL NORMED LINEAR SPACE
I.
Sadeqi
F. Y.
Azari
In this paper, the gradual real numbers are considered and the
notion of the gradual normed linear space is given. Also some topological
properties of such spaces are studied, and it is shown that the gradual normed
linear space is a locally convex space, in classical sense. So the results in locally
convex spaces can be translated in gradual normed linear spaces. Finally, we
give an example of a gradual normed linear space which is not normable in
classical analysis.
Fuzzy interval
Gradual real number
Locally convex space
2011
10
06
131
139
http://ijfs.usb.ac.ir/article_302_6ea1e8a077e90219b672804fb0f85ca4.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
$psi -$weak Contractions in Fuzzy Metric Spaces
Mujahid
Abbas
M.
Imdad
D.
Gopal
In this paper, the notion of $psi -$weak contraction cite{Rhoades} isextended to fuzzy metric spaces. The existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. Our resultgeneralizes a result of Gregori and Sapena cite{Gregori}.
Weekly compatible mappings
Fuzzy metric spaces
Common fixed
point
$psi-$weak contractions
2011
10
06
141
148
http://ijfs.usb.ac.ir/article_303_a705fe8411d5fcf87c600a6746d0841a.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
DIMENSION OF FUZZY HYPERVECTOR SPACES
Reza
Ameri
Omid Reza
Dehghan
In this paper we investigate the algebraic properties of dimension
of fuzzy hypervector spaces. Also, we prove that two isomorphic fuzzy
hypervector spaces have the same dimension.
Fuzzy hypervector space
Fuzzy linear independence
Fuzzy basis
Dimension
2011
10
06
149
166
http://ijfs.usb.ac.ir/article_304_14bfdec4c43880bdbfe530d2df936bd0.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2011
8
5
Persian-translation Special Issue vol. 8, no. 5, October 2011
2011
10
29
169
179
http://ijfs.usb.ac.ir/article_2867_f04ea4312ef08393949d183a3d63641f.pdf