eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-29
6
2
0
10.22111/ijfs.2009.2897
2897
Cover Vol.6, No.2, June 2009 (IJFS)
http://ijfs.usb.ac.ir/article_2897_523834bf7d1d175e7c59916a7f074f37.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-10
6
2
1
6
10.22111/ijfs.2009.203
203
مقاله پژوهشی
A NOTE ON EVALUATION OF FUZZY LINEAR REGRESSION
MODELS BY COMPARING MEMBERSHIP FUNCTIONS
H. Hassanpour
hhassanpour@birjand.ac.ir
1
H. R. Malek
maleki@sutech.ac.ir
2
M. A. Yaghoobi
yaghoobi@mail.uk.ac.ir
3
Department of Mathematics, University of Birjand, Birjand, Iran
Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran
Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_203_91984c1c552a9c8428c6600866e5cadd.pdf
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
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-10
6
2
7
18
10.22111/ijfs.2009.204
204
مقاله پژوهشی
DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES
Lavinia Corina Ciungu
lavinia_ciungu@math.pub.ro
1
Polytechnical University of Bucharest, Splaiul Independentei 313, Bucharest, Romania
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.
http://ijfs.usb.ac.ir/article_204_3e6b6b9895e27badb0b800d0bb818256.pdf
residuated lattice
Complementary factor congruence
Boolean center
Directly indecomposable algebra
Subdirectly irreducible algebra
Normal filter
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-10
6
2
19
29
10.22111/ijfs.2009.205
205
مقاله پژوهشی
UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL
FUZZY AUTOMATA
M. Horry
mohhorry@yahoo.com
1
M. M. Zahedi
zahedi mm@mail.uk.ac.ir
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_205_ec6fce5c69b2892bbfa26aecd7e61bf8.pdf
(General) Fuzzy automata
(Uniform) Topology
Response function
compatibility
Transitivity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-10
6
2
31
45
10.22111/ijfs.2009.206
206
مقاله پژوهشی
IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET
THEORY
Young Bae Jun
skywine@gmail.com
1
Chul Hwan Park
skyrosemary@gmail.com
2
Department of Mathematics Education and (RINS), Gyeongsang National University, Chinju 660-701, Korea
Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
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.
http://ijfs.usb.ac.ir/article_206_79b54ac844b28e6231f9bb14b4e1d8da.pdf
Pseudo MV-algebra
(implicative
prime) vague ideal
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-11
6
2
47
59
10.22111/ijfs.2009.209
209
مقاله پژوهشی
ON FUZZY HYPERIDEALS OF $Gamma$-HYPERRINGS
Reza Ameri
ameri@umz.ac.ir
1
Hossein Hedayati
h.hedayati@umz.ac.ir
2
A. Molaee
3
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran
Department of Basic Sciences,, Babol University of Technology, Babol, Iran
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran
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.
http://ijfs.usb.ac.ir/article_209_038442a0be35ebc015994bc4e8bb6f0e.pdf
$Gamma$- hyperring
($nu$-fuzzy) hyperideal
Fuzzy polygroup
Canonical hypergroup
Fuzzy product
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-11
6
2
61
74
10.22111/ijfs.2009.211
211
مقاله پژوهشی
HYPERGROUPS AND GENERAL FUZZY AUTOMATA
Mohammad Horry
mohhorry@yahoo.com
1
Mohammad Mehdi Zahedi
zahedi mm@mail.uk.ac.ir
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_211_e7bd1dc99e2c18d86e95ab19cc9bdb1b.pdf
(General) Fuzzy automata
(Quasi-order) Hypergroup
Invertibility
Connectedness
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-11
6
2
75
86
10.22111/ijfs.2009.212
212
مقاله پژوهشی
APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS
Young Bae Jun
skywine@gmail.com
1
Chul Hwan Park
skyrosemary@gmail.com
2
Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Korea
Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
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.
http://ijfs.usb.ac.ir/article_212_0e2304d1bdfe452ab84730ecc265a358.pdf
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
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-06-29
6
2
89
95
10.22111/ijfs.2009.2898
2898
Persian-translation Vol.6, No.2 June 2009
http://ijfs.usb.ac.ir/article_2898_d4ce05cba0daff7238f4983b1147268f.pdf