Cover Special Issue vol. 8, no. 5, October 2011-
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
5
no.
2011
0
http://ijfs.usb.ac.ir/article_2866_7c95e1e920951e2eb9a6e5bcecdb68b0.pdf
dx.doi.org/10.22111/ijfs.2011.2866
FUZZY ORDERED SETS AND DUALITY FOR FINITE FUZZY
DISTRIBUTIVE LATTICES
Abdelaziz
Amroune
Department of Mathematics, M’Sila University, P.O. Box 166,
M’Sila 28000, Algeria
author
Bijan
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
1
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http://ijfs.usb.ac.ir/article_294_0585ff76677fb9b648afed68597a373f.pdf
dx.doi.org/10.22111/ijfs.2011.294
ON ALGEBRAIC AND COALGEBRAIC CATEGORIES OF
VARIETY-BASED TOPOLOGICAL SYSTEMS
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
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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http://ijfs.usb.ac.ir/article_295_78807b744112194d3dde64cbaf1cf650.pdf
dx.doi.org/10.22111/ijfs.2011.295
ALGEBRAIC GENERATIONS OF SOME FUZZY POWERSET
OPERATORS
Qi-Ye
Zhang
School of Mathematics and Systems Science, Beihang University, Beijing
100191, China and LMIB of the Ministry of Education, Beijing 100191, China
author
text
article
2011
eng
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$$LF$-{\bf CSLat}$(\sqcap)$. And a usual mapping $f$ generates thetraditional Zadeh forward powerset operator $f_L^\rightarrow$ andthe fuzzy forward powerset operators $\widetilde{f}^\rightarrow,\widetilde{f}_\ast^\rightarrow, \widetilde{f}^{\ast\rightarrow}$defined by the author et al via these adjunctions. Moreover, it is also shownthat all the fuzzy powerset operators mentioned above can be generated by the underlying algebraic theories.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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http://ijfs.usb.ac.ir/article_296_80d019c2a46e66b3c7ab1031e2569b3e.pdf
dx.doi.org/10.22111/ijfs.2011.296
NEW DIRECTION IN FUZZY TREE AUTOMATA
S.
Moghari
Department of Mathematics, Science Faculty, Alzahra University,
Vanak, Tehran, Iran
author
M. M.
Zahedi
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
author
R.
Ameri
College of Sciences, Tehran University, P.O. Box 14155-6455, Tehran, Iran
author
text
article
2011
eng
In this paper, our focus of attention is the proper propagationof fuzzy degrees in determinization of $Nondeterministic$ $Fuzzy$$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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
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http://ijfs.usb.ac.ir/article_297_0c27ea3b6611895f9ba1d96628fb269a.pdf
dx.doi.org/10.22111/ijfs.2011.297
THE CONNECTION BETWEEN SOME EQUIVALENCE
RELATIONS ON FUZZY SUBGROUPS
Ali
Iranmanesh
Department of Mathematics, Tarbiat Modares University, P.O.
Box: 14115-137, Tehran, Iran
author
Hossein
Naraghi
Tarbiat Modares University, P.O. Box: 14115-137, Tehran, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
69
80
http://ijfs.usb.ac.ir/article_298_9700a0526c25c8f4d3ca42e4af01ae3f.pdf
dx.doi.org/10.22111/ijfs.2011.298
A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS
Yunqiang
Yin
School of Sciences, East China Institute of Technology, Fuzhou,
Jiangxi 344000, China
author
Jianming
Zhan
Department of Mathematics, Hubei Institute for Nationalities, Enshi,
Hubei Province 445000, China
author
Xiaokun
Huang
Department of Mathematics, Honghe University, Mengzi, Yunnan
661100, China
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
81
101
http://ijfs.usb.ac.ir/article_299_aaa3f3b3c23fef1a9e66044b328b54d2.pdf
dx.doi.org/10.22111/ijfs.2011.299
FUZZY REFLEXIVITY OF FELBIN'S TYPE FUZZY NORMED
LINEAR SPACES AND FIXED POINT THEOREMS
IN SUCH SPACES
T.
Bag
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben-
gal, India
author
S. K.
Samanta
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West
Bengal, India
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
103
115
http://ijfs.usb.ac.ir/article_300_624227350b1d0dcbab964c4fb90430d5.pdf
dx.doi.org/10.22111/ijfs.2011.300
ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND
FUZZY BOUNDED OPERATORS
Mohammad
Janfada
Department of Mathematics, Sabzevar Tarbiat Moallem University,
Sabzevar, Iran
author
Hamid
Baghani
Department of Mathematics, Semnan University, Semnan, Iran
author
Omid
Baghani
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad,
Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
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no.
2011
117
130
http://ijfs.usb.ac.ir/article_301_74ebb1ab54f2a83281a4bc5d5a3a8241.pdf
dx.doi.org/10.22111/ijfs.2011.301
GRADUAL NORMED LINEAR SPACE
I.
Sadeqi
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
author
F. Y.
Azari
Department of Mathematics, Sahand university of technology, Tabriz-
Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
131
139
http://ijfs.usb.ac.ir/article_302_6ea1e8a077e90219b672804fb0f85ca4.pdf
dx.doi.org/10.22111/ijfs.2011.302
$\psi -$weak Contractions in Fuzzy Metric Spaces
Mujahid
Abbas
Department of Mathematics, Lahore University of Management Sci-
ences, 54792- Lahore, Pakistan
author
M.
Imdad
Department of Mathematics, Aligarh Muslim University, 202002, Aligarh,
India
author
D.
Gopal
Department of Mathematics and Humanities, S. V. National Institute of
Technology, Surat, 395007, Gujarat, India
author
text
article
2011
eng
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}.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
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no.
2011
141
148
http://ijfs.usb.ac.ir/article_303_a705fe8411d5fcf87c600a6746d0841a.pdf
dx.doi.org/10.22111/ijfs.2011.303
DIMENSION OF FUZZY HYPERVECTOR SPACES
Reza
Ameri
School of Mathematics, Statistics and Computer Science, College of
Sciences, University of Tehran, P. O. Box 14155-6455, Teheran, Iran
author
Omid Reza
Dehghan
Department of Mathematics, Faculty of Basic Sciences, University
of Bojnourd, Bojnourd, Iran
author
text
article
2011
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
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no.
2011
149
166
http://ijfs.usb.ac.ir/article_304_14bfdec4c43880bdbfe530d2df936bd0.pdf
dx.doi.org/10.22111/ijfs.2011.304
Persian-translation Special Issue vol. 8, no. 5, October 2011
text
article
2011
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
8
v.
5
no.
2011
169
179
http://ijfs.usb.ac.ir/article_2867_f04ea4312ef08393949d183a3d63641f.pdf
dx.doi.org/10.22111/ijfs.2011.2867