University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
29
Cover Vol.6, No.2, June 2009 (IJFS)
0
EN
10.22111/ijfs.2009.2897
http://ijfs.usb.ac.ir/article_2897.html
http://ijfs.usb.ac.ir/article_2897_523834bf7d1d175e7c59916a7f074f37.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
10
A NOTE ON EVALUATION OF FUZZY LINEAR REGRESSION
MODELS BY COMPARING MEMBERSHIP FUNCTIONS
1
6
EN
H.
Hassanpour
0000-0001-6263-1973
Department of Mathematics, University of Birjand, Birjand, Iran
hhassanpour@birjand.ac.ir
H. R.
Malek
Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran
maleki@sutech.ac.ir
M. A.
Yaghoobi
Department of Statistics, Shahid Bahonar University of Kerman,
Kerman, Iran
yaghoobi@mail.uk.ac.ir
10.22111/ijfs.2009.203
Kim and Bishu (Fuzzy Sets and Systems 100 (1998) 343-352) proposeda modification of fuzzy linear regression analysis. Their modificationis based on a criterion of minimizing the difference of the fuzzy membershipvalues between the observed and estimated fuzzy numbers. We show that theirmethod often does not find acceptable fuzzy linear regression coefficients andto overcome this shortcoming, propose a modification. Finally, we present twonumerical examples to illustrate efficiency of the modified method.
Fuzzy linear regression,Fuzzy number,Least-squares method.
This paper is supported in part by Fuzzy Systems and Applications Center of Excellence,Shahid Bahonar University of Kerman,Kerman,I.R. of Iran
http://ijfs.usb.ac.ir/article_203.html
http://ijfs.usb.ac.ir/article_203_91984c1c552a9c8428c6600866e5cadd.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
10
DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES
7
18
EN
Lavinia Corina
Ciungu
Polytechnical University of Bucharest, Splaiul Independentei
313, Bucharest, Romania
lavinia_ciungu@math.pub.ro
10.22111/ijfs.2009.204
The aim of this paper is to extend results established by H. Onoand T. Kowalski regarding directly indecomposable commutative residuatedlattices to the non-commutative case. The main theorem states that a residuatedlattice A is directly indecomposable if and only if its Boolean center B(A)is {0, 1}. We also prove that any linearly ordered residuated lattice and anylocal residuated lattice are directly indecomposable. We apply these results toprove some properties of the Boolean center of a residuated lattice and alsodefine the algebras on subintervals of residuated lattices.
residuated lattice,Complementary factor congruence,Boolean center,Directly indecomposable algebra,Subdirectly irreducible algebra,Normal filter
http://ijfs.usb.ac.ir/article_204.html
http://ijfs.usb.ac.ir/article_204_3e6b6b9895e27badb0b800d0bb818256.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
10
UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL
FUZZY AUTOMATA
19
29
EN
M.
Horry
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
mohhorry@yahoo.com
M. M.
Zahedi
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
zahedi mm@mail.uk.ac.ir
10.22111/ijfs.2009.205
In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of a general fuzzy automaton. We then constructa semi-uniform structure on , the set of all nite words on , the set ofinput symbols of a general fuzzy automaton and, nally, using these semi-uniform structures, we construct two topologies on Q and and discuss theirproperties.
(General) Fuzzy automata,(Uniform) Topology,Response function,compatibility,Transitivity
http://ijfs.usb.ac.ir/article_205.html
http://ijfs.usb.ac.ir/article_205_ec6fce5c69b2892bbfa26aecd7e61bf8.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
10
IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET
THEORY
31
45
EN
Young Bae
Jun
Department of Mathematics Education and (RINS), Gyeongsang National
University, Chinju 660-701, Korea
skywine@gmail.com
Chul Hwan
Park
Department of Mathematics, University of Ulsan, Ulsan 680-749,
Korea
skyrosemary@gmail.com
10.22111/ijfs.2009.206
The notion of vague ideals in pseudo MV-algebras is introduced,and several properties are investigated. Conditions for a vague set to be avague ideal are provided. Conditions for a vague ideal to be implicative aregiven. Characterizations of (implicative, prime) vague ideals are discussed.The smallest vague ideal containing a given vague set is established. Primeand implicative extension property for a vague ideal is discussed.
Pseudo MV-algebra,(implicative,prime) vague ideal
http://ijfs.usb.ac.ir/article_206.html
http://ijfs.usb.ac.ir/article_206_79b54ac844b28e6231f9bb14b4e1d8da.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
11
ON FUZZY HYPERIDEALS OF $Gamma$-HYPERRINGS
47
59
EN
Reza
Ameri
Department of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, Babolsar, Iran
ameri@umz.ac.ir
Hossein
Hedayati
Department of Basic Sciences,, Babol University of Technology,
Babol, Iran
h.hedayati@umz.ac.ir
A.
Molaee
Department of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, Babolsar, Iran
10.22111/ijfs.2009.209
The aim of this paper is the study of fuzzy $Gamma$-hyperrings. In thisregard the notion of -fuzzy hyperideals of $Gamma$-hyperrings are introduced andbasic properties of them are investigated. In particular, the representationtheorem for $nu$-fuzzy hyperideals are given and it is shown that the image of a-fuzzy hyperideal of a $Gamma$-hyperring under a certain conditions is two-valued.Finally, the product of $nu$-fuzzy hyperideals are studied.
$\Gamma$- hyperring,($\nu$-fuzzy) hyperideal,Fuzzy polygroup,Canonical hypergroup,Fuzzy product
http://ijfs.usb.ac.ir/article_209.html
http://ijfs.usb.ac.ir/article_209_038442a0be35ebc015994bc4e8bb6f0e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
11
HYPERGROUPS AND GENERAL FUZZY AUTOMATA
61
74
EN
Mohammad
Horry
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
mohhorry@yahoo.com
Mohammad Mehdi
Zahedi
Department of Mathematics, Shahid Bahonar University
of Kerman, Kerman, Iran
zahedi mm@mail.uk.ac.ir
10.22111/ijfs.2009.211
In this paper, we first define the notion of a complete general fuzzyautomaton with threshold c and construct an $H_{nu}$- group, as well as commutativehypergroups, on the set of states of a complete general fuzzy automatonwith threshold c. We then define invertible general fuzzy automata, discussthe notions of “homogeneity, “separation, “thresholdness connected, “thresholdnessinner irreducible and “principal and strongly connected, as appliedto them and use these concepts to construct a quasi-order hypergroup on aninvertible general fuzzy automaton. Finally, we derive relationships betweenthe properties of an invertible general fuzzy automaton and the induced hypergroup.
(General) Fuzzy automata,(Quasi-order) Hypergroup,Invertibility,Connectedness
http://ijfs.usb.ac.ir/article_211.html
http://ijfs.usb.ac.ir/article_211_e7bd1dc99e2c18d86e95ab19cc9bdb1b.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
11
APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS
75
86
EN
Young Bae
Jun
Department of Mathematics Education (and RINS), Gyeongsang National
University, Chinju 660-701, Korea
skywine@gmail.com
Chul Hwan
Park
Department of Mathematics, University of Ulsan, Ulsan 680-749,
Korea
skyrosemary@gmail.com
10.22111/ijfs.2009.212
The concept of soft sets, introduced by Molodtsov [20] is a mathematicaltool for dealing with uncertainties, that is free from the difficultiesthat have troubled the traditional theoretical approaches. In this paper, weapply the notion of the soft sets of Molodtsov to the theory of Hilbert algebras.The notion of soft Hilbert (abysmal and deductive) algebras, soft subalgebras,soft abysms and soft deductive systems are introduced, and their basic propertiesare investigated. The relations between soft Hilbert algebras, soft Hilbertabysmal algebras and soft Hilbert deductive algebras are also derived.
Hilbert algebra,Soft set,Soft Hilbert algebra,Soft Hilbert abysmal
algebra,Soft Hilbert deductive algebra,(trivial,whole) soft Hilbert algebra,Soft subalgebra,Soft
abysm,Soft deductive system
http://ijfs.usb.ac.ir/article_212.html
http://ijfs.usb.ac.ir/article_212_0e2304d1bdfe452ab84730ecc265a358.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
6
2
2009
06
29
Persian-translation Vol.6, No.2 June 2009
89
95
EN
10.22111/ijfs.2009.2898
http://ijfs.usb.ac.ir/article_2898.html
http://ijfs.usb.ac.ir/article_2898_d4ce05cba0daff7238f4983b1147268f.pdf