Cover Vol.1, No.2
text
article
2004
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
0
http://ijfs.usb.ac.ir/article_3127_7558552a3bca8b71e43a23a9e773e760.pdf
dx.doi.org/10.22111/ijfs.2004.3127
A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY
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.
author
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.
author
CARO
LUCAS
CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL
AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515,
TEHRAN, IRAN.
author
text
article
2004
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
1
14
http://ijfs.usb.ac.ir/article_497_1bac70711c4eaabff92384bf9ad33486.pdf
dx.doi.org/10.22111/ijfs.2004.497
FUZZY GRADE OF I.P.S. HYPERGROUPS OF ORDER 7
Piergiulio
Corsini
Dipartimento di Matematica e Informatica, Via delle Scienze 206,
33100 Udine, Italy, fax: 0039-0432-558499
author
Irina
Cristea
Faculty of Mathematics, Al.I. Cuza University, 6600 Ias¸i, Romania,
fax: 0040-232-201160
author
text
article
2004
eng
i.p.s. hypergroups are canonical hypergroups such that$[\forall(a,x),a+x\ni x]\Longrightarrow[a+x=x].$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].
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
15
32
http://ijfs.usb.ac.ir/article_499_f14b97072c6b8a952f174eaabb80457c.pdf
dx.doi.org/10.22111/ijfs.2004.499
SOME QUOTIENTS ON A BCK-ALGEBRA GENERATED BY A
FUZZY SET
Abbas
Hasankhani
Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
author
Hamid
Saadat
Islamic Azad University Science and Research Campus, Kerman, Iran
author
text
article
2004
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
33
43
http://ijfs.usb.ac.ir/article_503_c99fc7423f434249f96ead64e115875f.pdf
dx.doi.org/10.22111/ijfs.2004.503
PEDOMODELS FITTING WITH FUZZY LEAST
SQUARES REGRESSION
JAHANGARD
MOHAMMADI
SOIL SCIENCE DEPARTMENT, COLLEGE OF AGRICULTURE,
SHAHREKORD UNIVERSITY, SHAHREKORD, IRAN.
author
SYED MAHMOUD
TAHERI
SCHOOL OF MATHEMATICAL SCIENCES, ISFAHAN, UNIVERSITY OF
TECHNOLOGY, ISFAHAN 84156, IRAN.
author
text
article
2004
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
45
61
http://ijfs.usb.ac.ir/article_505_dcb76238bd5f980beec986293a3c294e.pdf
dx.doi.org/10.22111/ijfs.2004.505
FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER
BCK-IDEALS
Mahmood
Bakhshi
Department of Mathematics, Sistan and
Baluchestan University, Zahedan, Iran
author
Rajab Ali
Borzooei
Department of Mathematics, Sistan and
Baluchestan University, Zahedan, Iran
author
Mohammad Mehdi
Zahedi
Department of Mathematics, Shahid Bahonar University
of Kerman, Kerman, Iran
author
text
article
2004
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
63
79
http://ijfs.usb.ac.ir/article_506_1cd574ace5a8a66b1d6f21e939dc2ec1.pdf
dx.doi.org/10.22111/ijfs.2004.506
Persian-translation vol.1, no.2
text
article
2004
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
1
v.
2
no.
2004
82
90
http://ijfs.usb.ac.ir/article_3128_57612763133852cb23303b08bb744903.pdf
dx.doi.org/10.22111/ijfs.2004.3128