eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-29
1
2
0
10.22111/ijfs.2004.3127
3127
Cover Vol.1, No.2
http://ijfs.usb.ac.ir/article_3127_7558552a3bca8b71e43a23a9e773e760.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-22
1
2
1
14
10.22111/ijfs.2004.497
497
مقاله پژوهشی
A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY
SAFAR HATAMI
s.hatami@ece.ut.ac.ir
1
BABAK N. ARAABI
araabi@ut.ac.ir
2
CARO LUCAS
lucas@ipm.ir
3
RESEARCH ASSISTANT, CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515, TEHRAN, IRAN.
CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515, TEHRAN, IRAN.
CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515, TEHRAN, IRAN.
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.
http://ijfs.usb.ac.ir/article_497_1bac70711c4eaabff92384bf9ad33486.pdf
Generalized Dempster-Shafer theory
Mathematical Morphology
Fuzzy Morphology
Generalized Dempster-Shafer Theory’s Fuzzy Morphology
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-22
1
2
15
32
10.22111/ijfs.2004.499
499
مقاله پژوهشی
FUZZY GRADE OF I.P.S. HYPERGROUPS OF ORDER 7
Piergiulio Corsini
corsini@dimi.uniud.it; corsini2002@yahoo.com
1
Irina Cristea
irinacri@yahoo.co.uk
2
Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100 Udine, Italy, fax: 0039-0432-558499
Faculty of Mathematics, Al.I. Cuza University, 6600 Ias¸i, Romania, fax: 0040-232-201160
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].
http://ijfs.usb.ac.ir/article_499_f14b97072c6b8a952f174eaabb80457c.pdf
Fuzzy grade
Strong fuzzy grade
i.p.s. hypergroups
Join spaces
Whypergroups
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-22
1
2
33
43
10.22111/ijfs.2004.503
503
مقاله پژوهشی
SOME QUOTIENTS ON A BCK-ALGEBRA GENERATED BY A
FUZZY SET
Abbas Hasankhani
abhasan@mail.uk.ac.ir
1
Hamid Saadat
saadat@iauk.ac.ir
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Islamic Azad University Science and Research Campus, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_503_c99fc7423f434249f96ead64e115875f.pdf
Fuzzy similarity relations
Fuzzy partitions
Fuzzy quotient
Fuzzy
ideal
Cosets
Quotient algebra
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-22
1
2
45
61
10.22111/ijfs.2004.505
505
مقاله پژوهشی
PEDOMODELS FITTING WITH FUZZY LEAST
SQUARES REGRESSION
JAHANGARD MOHAMMADI
j_mohammadi@sku.ac.ir
1
SYED MAHMOUD TAHERI
sm_taheri@yahoo.com
2
SOIL SCIENCE DEPARTMENT, COLLEGE OF AGRICULTURE, SHAHREKORD UNIVERSITY, SHAHREKORD, IRAN.
SCHOOL OF MATHEMATICAL SCIENCES, ISFAHAN, UNIVERSITY OF TECHNOLOGY, ISFAHAN 84156, IRAN.
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.
http://ijfs.usb.ac.ir/article_505_dcb76238bd5f980beec986293a3c294e.pdf
Pedomodels
Pedotransfer Functions
Fuzzy Least Squares
Fuzzy regression
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-22
1
2
63
79
10.22111/ijfs.2004.506
506
مقاله پژوهشی
FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER
BCK-IDEALS
Mahmood Bakhshi
mbakhshi@hamoon.usb.ac.ir
1
Rajab Ali Borzooei
2
Mohammad Mehdi Zahedi
zahedi−mm@mail.uk.ac.ir
3
Department of Mathematics, Sistan and Baluchestan University, Zahedan, Iran
Department of Mathematics, Sistan and Baluchestan University, Zahedan, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_506_1cd574ace5a8a66b1d6f21e939dc2ec1.pdf
Hyper BCK-algebra
Fuzzy (strong
weak
reflexive) hyper BCKideal
Fuzzy (positive
weak) implicative hyper BCK-ideals
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2004-10-29
1
2
82
90
10.22111/ijfs.2004.3128
3128
Persian-translation vol.1, no.2
http://ijfs.usb.ac.ir/article_3128_57612763133852cb23303b08bb744903.pdf