University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
03
01
Cover vol. 12, no. 1, February 2015
0
EN
10.22111/ijfs.2015.2650
http://ijfs.usb.ac.ir/article_2650.html
http://ijfs.usb.ac.ir/article_2650_59e18134e188eee79afb2e07d9f951f0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
An integrated multi-criteria decision-making methodology based on type-2 fuzzy sets for selection among energy alternatives in Turkey
1
25
EN
Melike
Erdogan
Department of Industrial Engineering, Yildiz Technical University, Yildiz, BESIKTAS, Istanbul, Turkey
melike@yildiz.edu.tr
ihsan
Kaya
Department of Industrial Engineering, Yildiz Technical University, Yildiz, BESIKTAS, Istanbul, Turkey
iekaya@yahoo.com
10.22111/ijfs.2015.1839
Energy is a critical factor to obtain a sustainable development for countries and governments. Selection of the most appropriate energy alternative is a completely critical and a complex decision making problem. In this paper, an integrated multi-criteria decision-making (MCDM) methodology based on type-2 fuzzy sets is proposed for selection among energy alternatives. Then a roadmap has been created for Turkey.To overcome uncertainties in decision making process, the fuzzy set theory (FST) is suggested.For this aim, two of the most known MCDM methodologies are reconsidered by using type-2 fuzzy sets.Fuzzy Analytic Hierarchy Process (FAHP) based on interval type-2 fuzzy sets is constructed and is used to obtain the weights of the criteria affecting energy alternatives. To rank the energy alternatives, the other MCDM method that is Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is fuzzified by interval type-2 fuzzy sets. The proposed integrated MCDM methodology based on interval type-2 fuzzy sets is applied to obtain a road map of energy policies for Turkey.
Energy,Multi criteria decision making,Interval type-2 fuzzy sets,AHP,TOPSIS
http://ijfs.usb.ac.ir/article_1839.html
http://ijfs.usb.ac.ir/article_1839_d23c7ca7b9fd0dade01c8ab6932814d4.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity
27
42
EN
A.
Gavrilut
Faculty of Mathematics, \Alexandru Ioan Cuza" University of Iasi
Iasi, Romania
gavrilut@uaic.ro
M.
Agop
Department of Physics, Gheorghe Asachi Technical University of Iasi, Iasi,
Romania
m.agop@yahoo.com
10.22111/ijfs.2015.1840
n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{P}_{0}(X)$-valued set multifunctions ($X$ being a linear,topological space), in order to obtain Egoroff and Lusin type theorems forset multifunctions in the Vietoris hypertopology. Some mathematicalapplications are established and several physical implications of themathematical model of regularity are presented, which allows aclassification of the physical models.
Vietoris topology,regularity,Approximations,Fractal Theories,Non-differentiable physics,Scale
relativity theory
http://ijfs.usb.ac.ir/article_1840.html
http://ijfs.usb.ac.ir/article_1840_855de66e0a5045c0650164221c4a2935.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Uniformities in fuzzy metric spaces
43
57
EN
Yueli
Yue
Department of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.China
ylyue@ouc.edu.cn
Jinming
Fang
Department of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.China
jmfang@ouc.edu.cn
10.22111/ijfs.2015.1841
The aim of this paper is to study induced (quasi-)uniformities in Kramosil and Michalek's fuzzy metric spaces. Firstly, $I$-uniformity in the sense of J. Guti'{e}rrez Garc'{i}a and $I$-neighborhood system in the sense of H"{o}hle and u{S}ostak are induced by the given fuzzy metric. It is shown that the fuzzy metric and the induced $I$-uniformity will generate the same $I$-neighborhood system. Secondly, the relationship between Hutton quasi-uniformities and $I$-quasi-uniformities is given and it is proved that the category of strongly stratified $I$-quasi-uniform spaces can be embedded in the category of Hutton quasi-uniform spaces as a bicoreflective subcategory. Also it is shown that two kinds of Hutton quasi-uniformities can generate the same $I$-uniformity in fuzzy metric spaces.
Fuzzy metric,$I$-uniformity,Hutton quasi-uniformity
http://ijfs.usb.ac.ir/article_1841.html
http://ijfs.usb.ac.ir/article_1841_934512989c8d6bed65891801d995c6a2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Application of parametric form for ranking of fuzzy numbers
59
74
EN
R.
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, 31485 - 413, Karaj, Iran
ezati@kiau.ac.ir
S.
Khezerloo
Department of Mathematics, Islamic Azad University - South Tehran, Branch, Tehran, Iran
s_khezerloo@azad.ac.ir
S.
Ziari
Department of Mathematics, Firoozkooh Branch,Islamic Azad University, Firoozkooh, Iran
sziari@iaufb.ac.ir
10.22111/ijfs.2015.1842
In this paper, we propose a new approach for ranking all fuzzynumbers based on revising the ranking method proposed by Ezzati et al. cite{Ezzati}.To this end, we present and investigate some properties of the proposed approach indetails. Finally, to illustrate the advantage of the proposed method, it is applied to several groups of fuzzy numbers and the results are compared with other related and familiar ones.
Ranking of fuzzy numbers,Parametric form of fuzzy number,Magnitude of fuzzy number
http://ijfs.usb.ac.ir/article_1842.html
http://ijfs.usb.ac.ir/article_1842_27cb3eea8770ed442d2b473b328b2217.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Coupled Coincidence and Common Fixed Point Theorems for Single-Valued and Fuzzy Mappings
75
87
EN
Li
Zhu
Department of Mathematics, Nanchang University, Nanchang 330031, P.
R. China And Department of Mathematics, Jiangxi Agricultural University, Nanchang
330045, P. R. China
zflcz@aliyun.com
Chuanxi
Zhu
Department of Mathematics, Nanchang University, Nanchang 330031,
P. R. China
zhuchuanxi@sina.com
Xianjiu
Huang
Department of Mathematics, Nanchang University, Nanchang 330031,
P. R. China
xjhuang99@163.com
10.22111/ijfs.2015.1862
In this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. Presented theoremsextend and improve the main results of Abbas and$acute{C}$iri$acute{c}$ {itshape et al.} [M. Abbas, L.$acute{C}$iri$acute{c}$, {itshape et al.}, Coupled coincidenceand common fixed point theorems for hybrid pair of mappings, FixedPoint Theory Appl. (4) (2012) doi:10.1186/1687-1812-2012-4].
Fuzzy mapping,Coupled coincidence point,Coupled common fixed
point,Coupled fixed point
http://ijfs.usb.ac.ir/article_1862.html
http://ijfs.usb.ac.ir/article_1862_0c9a4b14e5a54b07a78dac040c0e304f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Minimal solution of fuzzy linear systems
89
99
EN
M.
Otadi
Department of Mathematics, Firoozkooh Branch, Islamic Azad Univer-
sity, Firoozkooh, Iran
mahmoodotadi@yahoo.com
M.
Mosleh
Department of Mathematics, Firoozkooh Branch, Islamic Azad Univer-
sity, Firoozkooh, Iran
mosleh@iaufb.ac.ir
10.22111/ijfs.2015.1863
In this paper, we use parametric form of fuzzy number and we converta fuzzy linear system to two linear system in crisp case. Conditions for the existence of a minimal solution to $mtimes n$ fuzzy linear equation systems are derived and a numerical procedure for calculating the minimal solution is designed. Numerical examples are presented to illustrate the proposed method.
Fuzzy linear system,Pseudo-inverse,Minimal solution
http://ijfs.usb.ac.ir/article_1863.html
http://ijfs.usb.ac.ir/article_1863_1b8410b23769ca1ff9adc789b590ebb0.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
On upper and lower almost weakly continuous fuzzy multifunctions
101
114
EN
S. E.
Abbas
Department of Mathematics, Faculty of Science, Jazan University, Saudi
Arabia
sabbas73@yahoo.com
M. A.
Hebeshi
Department of Mathematics, Faculty of Science, Sohag University,
Egypt
mhebeshi@yahoo.com
I. M.
Taha
Department of Mathematics, Faculty of Science, Sohag University,
Egypt
imtaha2010@yahoo.com
10.22111/ijfs.2015.1864
The aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. Several characterizations and properties of these multifunctions along with their mutual relationships are established in $L$-fuzzy topological spaces
$L$-fuzzy topology,Fuzzy multifunction,Fuzzy upper and lower almost continuous,Weakly continuous,Almost weakly continuous,Composition,Union
http://ijfs.usb.ac.ir/article_1864.html
http://ijfs.usb.ac.ir/article_1864_eefebf9043466cbd4a7fffd52e7d586e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Fuzzy Vector Equilibrium Problem
115
122
EN
Mijanur
Rahaman
Department of Mathematics, Aligarh Muslim University, Aligarh-
202002, India
mrahman96@yahoo.com
Rais
Ahmad
Department of Mathematics, Aligarh Muslim University, Aligarh-202002,
India
raisain_123@rediffmail.com
10.22111/ijfs.2015.1865
In the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{Kim} and textit{Lee} [W.K. Kim and K.H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems in $H$-spaces and equilibrium points of abstract economies, J. Aust. Math. Soc.(Series A), 53(1992), 252-260]. An example is also constructed in support of fuzzy vector equilibrium problem.
Equilibrium,Upper semicontinuity,Fuzzy mapping,$H$-space
http://ijfs.usb.ac.ir/article_1865.html
http://ijfs.usb.ac.ir/article_1865_534c7c77c8a3bbb244c81ad089b2ba68.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
02
28
Generalized Weakly Contractions in Partially Ordered Fuzzy Metric Spaces
123
129
EN
S. M.
Vaezpour
Department of Mathematics and Computer Science, Amirkabir Uni-
versity of Technology, 424 Hafez Avenue, Tehran 15914, Iran
vaez@aut.ac.ir
S.
Vaezzadeh
Department of Mathematics and Computer Science,, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
sarah_vaezzadeh@yahoo.com
10.22111/ijfs.2015.1866
In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and coincidence point theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.
Partially ordered fuzzy metric space,Generalized weakly contraction,Fixed point theorem,Common fixed point theorem
http://ijfs.usb.ac.ir/article_1866.html
http://ijfs.usb.ac.ir/article_1866_7f6476dc4b3ff67400972d3c18b7a46c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
1
2015
03
01
Persian-translation vol. 12, no. 1, February 2015
133
141
EN
10.22111/ijfs.2015.2651
http://ijfs.usb.ac.ir/article_2651.html
http://ijfs.usb.ac.ir/article_2651_15ce1ae24f3cd06bf99f720897fdd3a3.pdf