eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-30
6
4
0
10.22111/ijfs.2009.2893
2893
Cover vol.6, no.4, December 2009
http://ijfs.usb.ac.ir/article_2893_0fa650b3a78b4af038f002c7c971f878.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
1
1
10.22111/ijfs.2009.510
510
مقاله پژوهشی
PREFACE
http://ijfs.usb.ac.ir/article_510_246b0915a4bd4d8e824617b2d62f1222.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
1
9
10.22111/ijfs.2009.512
512
مقاله پژوهشی
FUZZY HV -SUBSTRUCTURES IN A TWO DIMENSIONAL
EUCLIDEAN VECTOR SPACE
Achilles Dramalidis
adramali@psed.duth.gr
1
Thomas Vougiouklis
tvougiou@eled.duth.gr
2
School of Sciences of Education, Democritus University of Thrace, 681 00 Alexandroupolis, Greece
School of Sciences of Education, Democritus University of Thrace, 681 00 Alexandroupolis, Greece
In this paper, we study fuzzy substructures in connection withHv-structures. The original idea comes from geometry, especially from thetwo dimensional Euclidean vector space. Using parameters, we obtain a largenumber of hyperstructures of the group-like or ring-like types. We connect,also, the mentioned hyperstructures with the theta-operations to obtain morestrict hyperstructures, as Hv-groups or Hv-rings (the dual ones).
http://ijfs.usb.ac.ir/article_512_94729afa39b1eadfc3e4cce33987760e.pdf
Hv-structures
Hv-group
Fuzzy sets
Fuzzy Hv-group
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
11
19
10.22111/ijfs.2009.525
525
FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS
Irina Cristea
irinacri@yahoo.co.uk
1
Sarka Hoskova
sarka.hoskova@seznam.cz
2
DIEA, University of Udine, Via delle Scienze 206, 33100 DIEA, University of Udine, Via delle Scienze 206, 33100 Udine, Italy, Italy
Department of Mathematics and Physics, University of Defence Brno, Kounicova 65, 61200 Brno, Czech Republic
On a hypergroupoid one can define a topology such that the hyperoperationis pseudocontinuous or continuous. In this paper we extend thisconcepts to the fuzzy case. We give a connection between the classical and thefuzzy (pseudo)continuous hyperoperations.
http://ijfs.usb.ac.ir/article_525_3002cda7ac4819fff3a72f0b67c2dfe7.pdf
Hypergroupoid
(Fuzzy) pseudocontinuous hyperoperation
(Fuzzy)
continuous hyperoperation
Fuzzy topological space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
21
36
10.22111/ijfs.2009.531
531
مقاله پژوهشی
FUZZY HYPERIDEALS IN TERNARY SEMIHYPERRINGS
Bijan Davvaz
davvaz@yazduni.ac.ir, bdavvaz@yahoo.com
1
Department of Mathematics, Yazd University, Yazd, Iran
In a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. Indeed, the notion of ternary semihyperringsis a generalization of semirings. Our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.We give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.
http://ijfs.usb.ac.ir/article_531_0053c03c8b8bdfeb9038476ff6bc0a5a.pdf
Semiring
Semihyperring
Ternary semihyperring
Hyperideal
Subsemihyperring
Fuzzy set
Fuzzy hyperideal
Fuzzy bi-hyperideal
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
37
47
10.22111/ijfs.2009.533
533
مقاله پژوهشی
T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A
BL-ALGEBRA
Rajab Ali Borzooei
borzooei@sbu.ac.ir
1
Mahmood Bakhshi
bakhshi@ub.ac.ir, bakhshimahmood@yahoo.com
2
Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Department of Mathematics, Bojnord University, Bojnord, Iran
In this note, we introduce the concept of a fuzzy filter of a BLalgebra,with respect to a t-norm briefly, T-fuzzy filters, and give some relatedresults. In particular, we prove Representation Theorem in BL-algebras. Thenwe generalize the notion of a fuzzy congruence (in a BL-algebra) was definedby Lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.We prove that there is a correspondence bijection between the set of allT-fuzzy filters of a BL-algebra and the set of all T-fuzzy congruences in thatBL-algebra. Next, we show how T-fuzzy filters induce T-fuzzy congruences,and construct a new BL-algebras, called quotient BL-algebras, and give somehomomorphism theorems.
http://ijfs.usb.ac.ir/article_533_ef8cf353ee369065e65b7a1205e85bf2.pdf
T-fuzzy filter
T-fuzzy congruence
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
49
59
10.22111/ijfs.2009.535
535
مقاله پژوهشی
ON SOME STRUCTURES OF FUZZY NUMBERS
Antonio Maturo
amasturo@unich.it
1
Department of Social Sciences, University of Chieti-Pescara, via dei Vestini, 66013, Chieti, Italia
The operations in the set of fuzzy numbers are usually obtained bythe Zadeh extension principle. But these definitions can have some disadvantagesfor the applications both by an algebraic point of view and by practicalaspects. In fact the Zadeh multiplication is not distributive with respect tothe addition, the shape of fuzzy numbers is not preserved by multiplication,the indeterminateness of the sum is too increasing. Then, for the applicationsin the Natural and Social Sciences it is important to individuate some suitablevariants of the classical addition and multiplication of fuzzy numbers that havenot the previous disadvantage. Here, some possible alternatives to the Zadehoperations are studied.
http://ijfs.usb.ac.ir/article_535_cf13b5071b8e0aecbbadec9a55cf16e2.pdf
Fuzzy numbers
Fuzzy algebraic structures
Alternative fuzzy operations
Fuzzy hyperoperations
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
61
72
10.22111/ijfs.2009.537
537
مقاله پژوهشی
SPECTRUM OF PRIME FUZZY HYPERIDEALS
Let R be a commutative hyperring with identity. We introduceand study prime fuzzy hyperideals of R. We investigate the Zariski topologyon FHspec(R), the spectrum of prime fuzzy hyperideals of R.
http://ijfs.usb.ac.ir/article_537_ef95ff018ae298cc675cf347e2e9e311.pdf
Commutative hyperring
Prime fuzzy hyperideals
Zariski topology
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2009-12-22
6
4
73
87
10.22111/ijfs.2009.542
542
مقاله پژوهشی
SOME PROPERTIES OF T-FUZZY GENERALIZED SUBGROUPS
Mahmood Bakhshi
bakhshi@ub.ac.ir, bakhshimahmood@yahoo.com
1
Rajab Ali Borzooei
borzooei@sbu.ac.ir
2
Department of Mathematics, University of Bojnord, Bojnord, Iran
Department of Mathematics, Shahid Beheshti University, Tehran, Iran
In this paper, we deal with Molaei’s generalized groups. We definethe notion of a fuzzy generalized subgroup with respect to a t-norm (orT-fuzzy generalized subgroup) and give some related properties. Especially,we state and prove the Representation Theorem for these fuzzy generalizedsubgroups. Next, using the concept of continuity of t-norms we obtain a correspondencebetween TF(G), the set of all T-fuzzy generalized subgroups of ageneralized group G, and the set of all T-fuzzy generalized subgroups of thecorresponding quotient generalized group. Subsequently, we study the quotientstructure of T-fuzzy generalized subgroups: we define the notion of aT-fuzzy normal generalized subgroup, give some related properties, constructthe quotient generalized group, state and prove the homomorphism theorem.Finally, we study the lattice of T-fuzzy generalized subgroups and prove thatTF(G) is a Heyting algebra.
http://ijfs.usb.ac.ir/article_542_29a3205d0a54855da6b624d09f45be58.pdf
Generalized groups
Fuzzy generalized subgroups
t-norm
Heyting
algebra