2018-12-15T17:48:28Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=56
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
Cover Vol.6, No.2, June 2009 (IJFS)
2009
06
29
0
http://ijfs.usb.ac.ir/article_2897_523834bf7d1d175e7c59916a7f074f37.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
A NOTE ON EVALUATION OF FUZZY LINEAR REGRESSION
MODELS BY COMPARING MEMBERSHIP FUNCTIONS
H.
Hassanpour
H. R.
Malek
M. A.
Yaghoobi
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
2009
06
10
1
6
http://ijfs.usb.ac.ir/article_203_91984c1c552a9c8428c6600866e5cadd.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES
Lavinia Corina
Ciungu
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
2009
06
10
7
18
http://ijfs.usb.ac.ir/article_204_3e6b6b9895e27badb0b800d0bb818256.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL
FUZZY AUTOMATA
M.
Horry
M. M.
Zahedi
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
2009
06
10
19
29
http://ijfs.usb.ac.ir/article_205_ec6fce5c69b2892bbfa26aecd7e61bf8.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET
THEORY
Young Bae
Jun
Chul Hwan
Park
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
2009
06
10
31
45
http://ijfs.usb.ac.ir/article_206_79b54ac844b28e6231f9bb14b4e1d8da.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
ON FUZZY HYPERIDEALS OF $Gamma$-HYPERRINGS
Reza
Ameri
Hossein
Hedayati
A.
Molaee
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
2009
06
11
47
59
http://ijfs.usb.ac.ir/article_209_038442a0be35ebc015994bc4e8bb6f0e.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
HYPERGROUPS AND GENERAL FUZZY AUTOMATA
Mohammad
Horry
Mohammad Mehdi
Zahedi
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
2009
06
11
61
74
http://ijfs.usb.ac.ir/article_211_e7bd1dc99e2c18d86e95ab19cc9bdb1b.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS
Young Bae
Jun
Chul Hwan
Park
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
2009
06
11
75
86
http://ijfs.usb.ac.ir/article_212_0e2304d1bdfe452ab84730ecc265a358.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2009
6
2
Persian-translation Vol.6, No.2 June 2009
2009
06
29
89
95
http://ijfs.usb.ac.ir/article_2898_d4ce05cba0daff7238f4983b1147268f.pdf