University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
29
Cover Vol.1, No.2
0
EN
10.22111/ijfs.2004.3127
http://ijfs.usb.ac.ir/article_3127.html
http://ijfs.usb.ac.ir/article_3127_7558552a3bca8b71e43a23a9e773e760.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
22
A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY
1
14
EN
SAFAR
HATAMI
RESEARCH ASSISTANT, CONTROL AND INTELLIGENT PROCESSING CENTER OF
EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN,
P.O. BOX 14395/515, TEHRAN, IRAN.
s.hatami@ece.ut.ac.ir
BABAK N.
ARAABI
CONTROL AND INTELLIGENT PROCESSING CENTER OF
EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN,
P.O. BOX 14395/515, TEHRAN, IRAN.
araabi@ut.ac.ir
CARO
LUCAS
CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL
AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515,
TEHRAN, IRAN.
lucas@ipm.ir
10.22111/ijfs.2004.497
In this paper, a new Fuzzy Morphology (FM) based on the GeneralizedDempster-Shafer Theory (GDST) is proposed. At first, in order to clarify the similarity ofdefinitions between Mathematical Morphology (MM) and Dempster-Shafer Theory (DST),dilation and erosion morphological operations are studied from a different viewpoint. Then,based on this similarity, a FM based on the GDST is proposed. Unlike previous FM’s,proposed FM does not need any threshold to obtain final eroded or dilated set/image. Thedilation and erosion operations are carried out independently but complementarily. The GDSTbased FM results in various eroded and dilated images in consecutive α-cuts, making a nestedset of convex images, where each dilated image at a larger α-cut is a subset of the dilatedimage at a smaller α-cut. Dual statement applies to eroded images.
Generalized Dempster-Shafer theory,Mathematical Morphology,Fuzzy Morphology,Generalized Dempster-Shafer Theory’s Fuzzy Morphology
http://ijfs.usb.ac.ir/article_497.html
http://ijfs.usb.ac.ir/article_497_1bac70711c4eaabff92384bf9ad33486.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
22
FUZZY GRADE OF I.P.S. HYPERGROUPS OF ORDER 7
15
32
EN
Piergiulio
Corsini
Dipartimento di Matematica e Informatica, Via delle Scienze 206,
33100 Udine, Italy, fax: 0039-0432-558499
corsini@dimi.uniud.it; corsini2002@yahoo.com
Irina
Cristea
Faculty of Mathematics, Al.I. Cuza University, 6600 Ias¸i, Romania,
fax: 0040-232-201160
irinacri@yahoo.co.uk
10.22111/ijfs.2004.499
i.p.s. hypergroups are canonical hypergroups such that$[forall(a,x),a+xni x]Longrightarrow[a+x=x].$i.p.s. hypergroups were investigated in [1], [2], [3], [4] and it was proved thatif the order is less than 9, they are strongly canonical (see [13]). In this paperwe obtain the sequences of fuzzy sets and of join spaces determined (see [8])by all i.p.s. hypergroups of order seven. For the meaning of the hypergroupsiH and the notations, see [7], [8].
Fuzzy grade,Strong fuzzy grade,i.p.s. hypergroups,Join spaces,Whypergroups
http://ijfs.usb.ac.ir/article_499.html
http://ijfs.usb.ac.ir/article_499_f14b97072c6b8a952f174eaabb80457c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
22
SOME QUOTIENTS ON A BCK-ALGEBRA GENERATED BY A
FUZZY SET
33
43
EN
Abbas
Hasankhani
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
abhasan@mail.uk.ac.ir
Hamid
Saadat
Islamic Azad University Science and Research Campus, Kerman, Iran
saadat@iauk.ac.ir
10.22111/ijfs.2004.503
First we show that the cosets of a fuzzy ideal μ in a BCK-algebraX form another BCK-algebra X/μ (called the fuzzy quotient BCK-algebra of X by μ). Also we show thatX/μ is a fuzzy partition of X and we prove several some isomorphism theorems. Moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition P of a commutative BCK-algebra iscompatible, then P is a fuzzy quotient BCK-algebra. Finally we define thenotion of a coset of a fuzzy ideal and an element of a BCK-algebra and proverelated theorems.
Fuzzy similarity relations,Fuzzy partitions,Fuzzy quotient,Fuzzy
ideal,Cosets,Quotient algebra
http://ijfs.usb.ac.ir/article_503.html
http://ijfs.usb.ac.ir/article_503_c99fc7423f434249f96ead64e115875f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
22
PEDOMODELS FITTING WITH FUZZY LEAST
SQUARES REGRESSION
45
61
EN
JAHANGARD
MOHAMMADI
SOIL SCIENCE DEPARTMENT, COLLEGE OF AGRICULTURE,
SHAHREKORD UNIVERSITY, SHAHREKORD, IRAN.
j_mohammadi@sku.ac.ir
SYED MAHMOUD
TAHERI
SCHOOL OF MATHEMATICAL SCIENCES, ISFAHAN, UNIVERSITY OF
TECHNOLOGY, ISFAHAN 84156, IRAN.
sm_taheri@yahoo.com
10.22111/ijfs.2004.505
Pedomodels have become a popular topic in soil science and environmentalresearch. They are predictive functions of certain soil properties based on other easily orcheaply measured properties. The common method for fitting pedomodels is to use classicalregression analysis, based on the assumptions of data crispness and deterministic relationsamong variables. In modeling natural systems such as soil system, in which the aboveassumptions are not held true, prediction is influential and we must therefore attempt toanalyze the behavior and structure of such systems more realistically. In this paper weconsider fuzzy least squares regression as a means of fitting pedomodels. The theoretical andpractical considerations are illustrated by developing some examples of real pedomodels.
Pedomodels,Pedotransfer Functions,Fuzzy Least Squares,Fuzzy regression
http://ijfs.usb.ac.ir/article_505.html
http://ijfs.usb.ac.ir/article_505_dcb76238bd5f980beec986293a3c294e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
22
FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER
BCK-IDEALS
63
79
EN
Mahmood
Bakhshi
Department of Mathematics, Sistan and
Baluchestan University, Zahedan, Iran
mbakhshi@hamoon.usb.ac.ir
Rajab Ali
Borzooei
Department of Mathematics, Sistan and
Baluchestan University, Zahedan, Iran
Mohammad Mehdi
Zahedi
Department of Mathematics, Shahid Bahonar University
of Kerman, Kerman, Iran
zahedi−mm@mail.uk.ac.ir
10.22111/ijfs.2004.506
In this note first we define the notions of fuzzy positive implicativehyper BCK-ideals of types 1,2,3 and 4. Then we prove some theorems whichcharacterize the above notions according to the level subsets. Also we obtainthe relationships among these notions, fuzzy (strong, weak, reflexive) hyperBCK-ideals and fuzzy positive implicative hyper BCK-ideals of types 5,6,7and 8. Then, we define the notions of fuzzy (weak) implicative hyper BCKidealsand we obtain some related results. Finally, by considering the productof two hyper BCK-algebras we give some theorems which show that how theprojections of a fuzzy (positive implicative, implicative) hyper BCK-ideal isagain a fuzzy (positive implicative, implicative) hyper BCK-ideal.
Hyper BCK-algebra,Fuzzy (strong,weak,reflexive) hyper BCKideal,Fuzzy (positive,weak) implicative hyper BCK-ideals
http://ijfs.usb.ac.ir/article_506.html
http://ijfs.usb.ac.ir/article_506_1cd574ace5a8a66b1d6f21e939dc2ec1.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1
2
2004
10
29
Persian-translation vol.1, no.2
82
90
EN
10.22111/ijfs.2004.3128
http://ijfs.usb.ac.ir/article_3128.html
http://ijfs.usb.ac.ir/article_3128_57612763133852cb23303b08bb744903.pdf