eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-03-01
12
1
0
10.22111/ijfs.2015.2650
2650
Cover vol. 12, no. 1, February 2015
http://ijfs.usb.ac.ir/article_2650_59e18134e188eee79afb2e07d9f951f0.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
1
25
10.22111/ijfs.2015.1839
1839
مقاله پژوهشی
An integrated multi-criteria decision-making methodology based on type-2 fuzzy sets for selection among energy alternatives in Turkey
Melike Erdogan
melike@yildiz.edu.tr
1
ihsan Kaya
iekaya@yahoo.com
2
Department of Industrial Engineering, Yildiz Technical University, Yildiz, BESIKTAS, Istanbul, Turkey
Department of Industrial Engineering, Yildiz Technical University, Yildiz, BESIKTAS, Istanbul, Turkey
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.
http://ijfs.usb.ac.ir/article_1839_d23c7ca7b9fd0dade01c8ab6932814d4.pdf
Energy
Multi criteria decision making
Interval type-2 fuzzy sets
AHP
TOPSIS
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
27
42
10.22111/ijfs.2015.1840
1840
مقاله پژوهشی
Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity
A. Gavrilut
gavrilut@uaic.ro
1
M. Agop
m.agop@yahoo.com
2
Faculty of Mathematics, \Alexandru Ioan Cuza" University of Iasi Iasi, Romania
Department of Physics, Gheorghe Asachi Technical University of Iasi, Iasi, Romania
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.
http://ijfs.usb.ac.ir/article_1840_855de66e0a5045c0650164221c4a2935.pdf
Vietoris topology
regularity
Approximations
Fractal Theories
Non-differentiable physics
Scale
relativity theory
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
43
57
10.22111/ijfs.2015.1841
1841
مقاله پژوهشی
Uniformities in fuzzy metric spaces
Yueli Yue
ylyue@ouc.edu.cn
1
Jinming Fang
jmfang@ouc.edu.cn
2
Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China
Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China
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.
http://ijfs.usb.ac.ir/article_1841_934512989c8d6bed65891801d995c6a2.pdf
Fuzzy metric
$I$-uniformity
Hutton quasi-uniformity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
59
74
10.22111/ijfs.2015.1842
1842
مقاله پژوهشی
Application of parametric form for ranking of fuzzy numbers
R. Ezzati
ezati@kiau.ac.ir
1
S. Khezerloo
s_khezerloo@azad.ac.ir
2
S. Ziari
sziari@iaufb.ac.ir
3
Department of Mathematics, Karaj Branch, Islamic Azad University, 31485 - 413, Karaj, Iran
Department of Mathematics, Islamic Azad University - South Tehran, Branch, Tehran, Iran
Department of Mathematics, Firoozkooh Branch,Islamic Azad University, Firoozkooh, Iran
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.
http://ijfs.usb.ac.ir/article_1842_27cb3eea8770ed442d2b473b328b2217.pdf
Ranking of fuzzy numbers
Parametric form of fuzzy number
Magnitude of fuzzy number
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
75
87
10.22111/ijfs.2015.1862
1862
مقاله پژوهشی
Coupled Coincidence and Common Fixed Point Theorems for Single-Valued and Fuzzy Mappings
Li Zhu
zflcz@aliyun.com
1
Chuanxi Zhu
zhuchuanxi@sina.com
2
Xianjiu Huang
xjhuang99@163.com
3
Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China And Department of Mathematics, Jiangxi Agricultural University, Nanchang 330045, P. R. China
Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China
Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China
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].
http://ijfs.usb.ac.ir/article_1862_0c9a4b14e5a54b07a78dac040c0e304f.pdf
Fuzzy mapping
Coupled coincidence point
Coupled common fixed
point
Coupled fixed point
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
89
99
10.22111/ijfs.2015.1863
1863
مقاله پژوهشی
Minimal solution of fuzzy linear systems
M. Otadi
mahmoodotadi@yahoo.com
1
M. Mosleh
mosleh@iaufb.ac.ir
2
Department of Mathematics, Firoozkooh Branch, Islamic Azad Univer- sity, Firoozkooh, Iran
Department of Mathematics, Firoozkooh Branch, Islamic Azad Univer- sity, Firoozkooh, Iran
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.
http://ijfs.usb.ac.ir/article_1863_1b8410b23769ca1ff9adc789b590ebb0.pdf
Fuzzy linear system
Pseudo-inverse
Minimal solution
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
101
114
10.22111/ijfs.2015.1864
1864
مقاله پژوهشی
On upper and lower almost weakly continuous fuzzy multifunctions
S. E. Abbas
sabbas73@yahoo.com
1
M. A. Hebeshi
mhebeshi@yahoo.com
2
I. M. Taha
imtaha2010@yahoo.com
3
Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia
Department of Mathematics, Faculty of Science, Sohag University, Egypt
Department of Mathematics, Faculty of Science, Sohag University, Egypt
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
http://ijfs.usb.ac.ir/article_1864_eefebf9043466cbd4a7fffd52e7d586e.pdf
$L$-fuzzy topology
Fuzzy multifunction
Fuzzy upper and lower almost continuous
Weakly continuous
Almost weakly continuous
Composition
Union
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
115
122
10.22111/ijfs.2015.1865
1865
مقاله پژوهشی
Fuzzy Vector Equilibrium Problem
Mijanur Rahaman
mrahman96@yahoo.com
1
Rais Ahmad
raisain_123@rediffmail.com
2
Department of Mathematics, Aligarh Muslim University, Aligarh- 202002, India
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
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.
http://ijfs.usb.ac.ir/article_1865_534c7c77c8a3bbb244c81ad089b2ba68.pdf
Equilibrium
Upper semicontinuity
Fuzzy mapping
$H$-space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-02-28
12
1
123
129
10.22111/ijfs.2015.1866
1866
مقاله پژوهشی
Generalized Weakly Contractions in Partially Ordered Fuzzy Metric Spaces
S. M. Vaezpour
vaez@aut.ac.ir
1
S. Vaezzadeh
sarah_vaezzadeh@yahoo.com
2
Department of Mathematics and Computer Science, Amirkabir Uni- versity of Technology, 424 Hafez Avenue, Tehran 15914, Iran
Department of Mathematics and Computer Science,, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
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.
http://ijfs.usb.ac.ir/article_1866_7f6476dc4b3ff67400972d3c18b7a46c.pdf
Partially ordered fuzzy metric space
Generalized weakly contraction
Fixed point theorem
Common fixed point theorem
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-03-01
12
1
133
141
10.22111/ijfs.2015.2651
2651
Persian-translation vol. 12, no. 1, February 2015
http://ijfs.usb.ac.ir/article_2651_15ce1ae24f3cd06bf99f720897fdd3a3.pdf