University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Cover vol. 10, no. 5, October 2013
0
EN
10.22111/ijfs.2013.2700
http://ijfs.usb.ac.ir/article_2700.html
http://ijfs.usb.ac.ir/article_2700_fce0eef9c43daec5c827660abe463a19.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Universal Triple I Method for Fuzzy Reasoning and
Fuzzy Controller
1
24
EN
Yiming
Tang
Information and Communication Engineering Postdoctoral Research
Station, School of Computer and Information, Hefei University of Technology, Hefei
230009, China
tym608@163.com
Fuji
Ren
Institute of Technology and Science, The University of Tokushima, Minami
Josanjima, Tokushima, 770-8506, Japan
ren2fuji@gmail.com
10.22111/ijfs.2013.1204
As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty of universal triple I method is analyzed from expansion,reduction and other type operators, which demonstrate that itsreversibility property seems fine, especially for the case employingthe (0,1)-implication. Lastly, we analyze the response ability offuzzy controllers based on universal triple I method, then thepracticability of triple I method is improved.
Fuzzy reasoning,Fuzzy controller,Interpolation mechanism,Reversibility property,CRI method
http://ijfs.usb.ac.ir/article_1204.html
http://ijfs.usb.ac.ir/article_1204_f6ca9920e40b0520d5d00b61d5a8b4d9.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
A perceptual measure of mobile advertising using fuzzy linguistic
preference relation
25
46
EN
Ling-Zhong
Lin
Department of Marketing Management, Shih Chien University Kaoh-
siung Campus, Taiwan
ling@mail.kh.usc.edu.tw
Huery-Ren
Yeh
Department of Marketing Management, Shih Chien University Kaoh-
siung Campus, Taiwan
hueryren@mail.kh.usc.edu.tw
10.22111/ijfs.2013.1205
The purpose of this study has been concretized in terms of impact of mobileadvertising on the purchase decision of the consumer and aimed to answer toresearch questions: which is the underlying structure of criteria in mobileadvertising? And which criteria are important for consumers in evaluatingmobile advertising? A sample of consumers in Taiwan was surveyed and usingfuzzy judgment to determine the vague perception of consumers. In addition,the proposed fuzzy linguistic preference relation (FLPR) is used to expressthe subjective preferences of consumers with respect to the consideredcriteria of mobile advertising, and also use the criterion gauges toevaluate the implementation of mobile advertising strategies. Finally, anempirical study is illustrated to demonstrate that the proposed method ismore suitable than the traditional method, especially when the consumerjudgments are likely be inconsistent in pair-wise comparison. The presentedfuzzy linguistic preference relation method is an easy and practical way toprovide a mechanism for improving consistency in perceptual measure ofmobile advertising.
Perceptual measure,Mobile advertising,Fuzzy linguistic preference relation
http://ijfs.usb.ac.ir/article_1205.html
http://ijfs.usb.ac.ir/article_1205_fdc652313774342156c98525406d61e2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Linear Objective Function Optimization with the Max-product Fuzzy Relation Inequality Constraints
47
61
EN
Ali
Abbasi Molai
School of Mathematics and Computer Sciences, Damghan Univer-
sity, Damghan, P.O.Box 36715-364, Iran
a_abbasimolai@du.ac.ir
10.22111/ijfs.2013.1206
In this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. Since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. We study this problem and capture some special characteristics of its feasible domain and optimal solutions. Some procedures are proposed to reduce and decompose the original problem into several sub-problems with smaller dimensions. Combining the procedures, a new algorithm is proposed to solve the original problem. An example is also provided to show the efficiency of the algorithm.
Fuzzy relation inequality,Linear objective function optimization,Max-product composition,Non-convex programming
http://ijfs.usb.ac.ir/article_1206.html
http://ijfs.usb.ac.ir/article_1206_6e51a83a1da15f1f0c5b2c66bbdd9ede.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Meet-continuity on $L$-directed Complete Posets
63
78
EN
Shuhua
Su
College of Mathematics and Econometrics, Hunan University, Chang-
sha 410082, P.R. CHINA and College of Science, East China Institute of Technology,
Fuzhou, JiangXi 344000, P.R. China
sushuhua913@163.com
Qingguo
Li
College of Mathematics and Econometrics, Hunan University, Chang-
sha 410082, P.R. China
liqingguoli@yahoo.com.cn
Lankun
Guo
College of Mathematics and Econometrics, Hunan University, Chang-
sha 410082, P.R. China
lankun.guo@gmail.com
10.22111/ijfs.2013.1207
In this paper, the definition of meet-continuity on $L$-directedcomplete posets (for short, $L$-dcpos) is introduced. As ageneralization of meet-continuity on crisp dcpos, meet-continuity on$L$-dcpos, based on the generalized Scott topology, ischaracterized. In particular, it is shown that every continuous$L$-dcpo is meet-continuous and $L$-continuous retracts ofmeet-continuous $L$-dcpos are also meet-continuous. Then, sometopological properties of meet-continuity on $L$-dcpos arediscussed. It is shown that meet-continuity on $L$-dcpos is atopological invariant with respect to the generalized Scotttopology, and meet-continuity on $L$-dcpos is hereditary withrespect to generalized Scott closed subsets.
$L$-dcpo,Generalized Scott topology,Meet-continuity
http://ijfs.usb.ac.ir/article_1207.html
http://ijfs.usb.ac.ir/article_1207_9b5017f23e1aef5ba45329046156f1b4.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
A new similarity measure between type-2 fuzzy numbers and fuzzy risk
analysis
79
95
EN
D. Stephen
Dinagar
Department of Mathematics, TBML College,
Porayar, India
dsdina@rediffmail.com
A.
Anbalagan
National Institute of Technology, Puducherry, Karaikkal, India
aaa_anbalagan@yahoo.com
10.22111/ijfs.2013.1208
In this paper, we present a revised similarity measure based onChen-and-Chen's similarity measure for fuzzy risk analysis. The revisedsimilarity measure uses the corrected formulae to calculate the centre ofgravity points, therefore it is more effective than the Chen-and-Chen'smethod. The revised similarity measure can overcome the drawbacks of theexisting methods. We have also proposed a new similarity measure between type-2fuzzy numbers and a method for handling fuzzy risk analysis problem.
Fuzzy numbers,Similarity measure,Fuzzy risk analysis,Interval valued fuzzy number,Type-2 fuzzy number
http://ijfs.usb.ac.ir/article_1208.html
http://ijfs.usb.ac.ir/article_1208_8481314a4450603573e6a36b9cac730d.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
01
Fuzzy subgroups of the direct product of a
generalized quaternion group and a cyclic group of any odd order
97
112
EN
Ju-Mok
Oh
Department of Mathematics, Gangneung-Wonju National University, 7,
Jukheon-gil, Gangneung-si, Gangwon-do 210-702, Republic of Korea
jumokoh@gwnu.ac.kr
10.22111/ijfs.2013.1209
Bentea and Tu{a}rnu{a}uceanu~(An. c{S}tiinc{t}. Univ. Al. I.Cuza Iac{s}, Ser. Nouv{a}, Mat., {bf 54(1)} (2008), 209-220)proposed the following problem: Find an explicit formula for thenumber of fuzzy subgroups of a finite hamiltonian group of type$Q_8times mathbb{Z}_n$ where $Q_8$ is the quaternion group oforder $8$ and $n$ is an arbitrary odd integer. In this paper weconsider more general group: the direct product of a generalizedquaternion group of any even order and a cyclic group of any oddorder. For this group we give an explicit formula for the number offuzzy subgroups.
Generalized quaternion group,Hamiltonian group,Fuzzy subgroups,Subgroup chain,Generating function
http://ijfs.usb.ac.ir/article_1209.html
http://ijfs.usb.ac.ir/article_1209_cdbaf63e2edeaa408c76ce2aa3691e62.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Finite Dimensional Generating Spaces of Quasi-Norm Family
113
125
EN
G.
Rano
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben-
gal, India
gobardhanr@gmail.com
T.
Bag
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben-
gal, India
tarapadavb@gmail.com
S. K.
Samanta
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West
Bengal, India
syamal.123samanta@visva-bharati.ac.in
10.22111/ijfs.2013.1210
In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family.
Quasi-norm,~Generating space,~Fuzzy norm,~ t-norm
http://ijfs.usb.ac.ir/article_1210.html
http://ijfs.usb.ac.ir/article_1210_f5fe0801395b1d9675affeff2ff1f501.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Categories isomorphic to the category of $L$-fuzzy closure system spaces
127
146
EN
Fu-Gui
Shi
School of Mathematics, Beijing Institute of Technology, 5 South Zhong-
guancun Street, Haidian District, 100081 Beijing, P.R. China
fuguishi@bit.edu.cn
Bin
Pang
School of Mathematics, Beijing Institute of Technology, 5 South Zhong-
guancun Street, Haidian District, 100081 Beijing, P.R. China
pangbin1205@163.com
10.22111/ijfs.2013.1213
In this paper, new definitions of $L$-fuzzy closure operator, $L$-fuzzy interior operator, $L$-fuzzy remote neighborhood system, $L$-fuzzy neighborhood system and $L$-fuzzy quasi-coincident neighborhood system are proposed. It is proved that the category of $L$-fuzzy closure spaces, the category of $L$-fuzzy interior spaces, the category of $L$-fuzzy remote neighborhood spaces, the category of $L$-fuzzy quasi-coincident neighborhood spaces, the category of $L$-fuzzy neighborhood spaces are all isomorphic to the category $L$-{bf FCS} of $L$-fuzzy closure system spaces.
$L$-fuzzy closure
system,$L$-fuzzy closure operator,$L$-fuzzy interior
operator,$L$-fuzzy remote neighborhood,$L$-fuzzy quasi-coincident
neighborhood,$L$-fuzzy neighborhood,Isomorphism of categories
http://ijfs.usb.ac.ir/article_1213.html
http://ijfs.usb.ac.ir/article_1213_c0c65f0dec93dbcbf9391ecf90ae2d95.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Further study on $L$-fuzzy Q-convergence structures
147
164
EN
Bin
Pang
School of Mathematics, Beijing Institute of Technology, 5 South Zhong-
guancun Street, Haidian District, 100081 Beijing, P.R. China
pangbin1205@163.com
10.22111/ijfs.2013.1236
In this paper, we discuss the equivalent conditions of pretopological and topological $L$-fuzzy Q-convergence structures and define $T_{0},~T_{1},~T_{2}$-separation axioms in $L$-fuzzy Q-convergence space. {Furthermore, $L$-ordered Q-convergence structure is introduced and its relation with $L$-fuzzy Q-convergence structure is studied in a categorical sense}.
$L$-fuzzy Q-convergence,$L$-ordered Q-convergence,$L$-filter,Category theory,Separation axioms
http://ijfs.usb.ac.ir/article_1236.html
http://ijfs.usb.ac.ir/article_1236_e08b6909103a69198ce3458da3606ed8.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
10
5
2013
10
29
Persian-translation vol. 10, no. 5, October 2013
167
175
EN
10.22111/ijfs.2013.2701
http://ijfs.usb.ac.ir/article_2701.html
http://ijfs.usb.ac.ir/article_2701_96cf710bfbc45e4e40e3e9e463b1b3d1.pdf