eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
0
10.22111/ijfs.2013.2700
2700
Cover vol. 10, no. 5, October 2013
http://ijfs.usb.ac.ir/article_2700_fce0eef9c43daec5c827660abe463a19.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
1
24
10.22111/ijfs.2013.1204
1204
مقاله پژوهشی
Universal Triple I Method for Fuzzy Reasoning and
Fuzzy Controller
Yiming Tang
tym608@163.com
1
Fuji Ren
ren2fuji@gmail.com
2
Information and Communication Engineering Postdoctoral Research Station, School of Computer and Information, Hefei University of Technology, Hefei 230009, China
Institute of Technology and Science, The University of Tokushima, Minami Josanjima, Tokushima, 770-8506, Japan
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.
http://ijfs.usb.ac.ir/article_1204_f6ca9920e40b0520d5d00b61d5a8b4d9.pdf
Fuzzy reasoning
Fuzzy controller
Interpolation mechanism
Reversibility property
CRI method
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
25
46
10.22111/ijfs.2013.1205
1205
مقاله پژوهشی
A perceptual measure of mobile advertising using fuzzy linguistic
preference relation
Ling-Zhong Lin
ling@mail.kh.usc.edu.tw
1
Huery-Ren Yeh
hueryren@mail.kh.usc.edu.tw
2
Department of Marketing Management, Shih Chien University Kaoh- siung Campus, Taiwan
Department of Marketing Management, Shih Chien University Kaoh- siung Campus, Taiwan
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.
http://ijfs.usb.ac.ir/article_1205_fdc652313774342156c98525406d61e2.pdf
Perceptual measure
Mobile advertising
Fuzzy linguistic preference relation
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
47
61
10.22111/ijfs.2013.1206
1206
مقاله پژوهشی
Linear Objective Function Optimization with the Max-product Fuzzy Relation Inequality Constraints
Ali Abbasi Molai
a_abbasimolai@du.ac.ir
1
School of Mathematics and Computer Sciences, Damghan Univer- sity, Damghan, P.O.Box 36715-364, Iran
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.
http://ijfs.usb.ac.ir/article_1206_6e51a83a1da15f1f0c5b2c66bbdd9ede.pdf
Fuzzy relation inequality
Linear objective function optimization
Max-product composition
Non-convex programming
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
63
78
10.22111/ijfs.2013.1207
1207
مقاله پژوهشی
Meet-continuity on $L$-directed Complete Posets
Shuhua Su
sushuhua913@163.com
1
Qingguo Li
liqingguoli@yahoo.com.cn
2
Lankun Guo
lankun.guo@gmail.com
3
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
College of Mathematics and Econometrics, Hunan University, Chang- sha 410082, P.R. China
College of Mathematics and Econometrics, Hunan University, Chang- sha 410082, P.R. China
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.
http://ijfs.usb.ac.ir/article_1207_9b5017f23e1aef5ba45329046156f1b4.pdf
$L$-dcpo
Generalized Scott topology
Meet-continuity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
79
95
10.22111/ijfs.2013.1208
1208
مقاله پژوهشی
A new similarity measure between type-2 fuzzy numbers and fuzzy risk
analysis
D. Stephen Dinagar
dsdina@rediffmail.com
1
A. Anbalagan
aaa_anbalagan@yahoo.com
2
Department of Mathematics, TBML College, Porayar, India
National Institute of Technology, Puducherry, Karaikkal, India
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.
http://ijfs.usb.ac.ir/article_1208_8481314a4450603573e6a36b9cac730d.pdf
Fuzzy numbers
Similarity measure
Fuzzy risk analysis
Interval valued fuzzy number
Type-2 fuzzy number
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-01
10
5
97
112
10.22111/ijfs.2013.1209
1209
مقاله پژوهشی
Fuzzy subgroups of the direct product of a
generalized quaternion group and a cyclic group of any odd order
Ju-Mok Oh
jumokoh@gwnu.ac.kr
1
Department of Mathematics, Gangneung-Wonju National University, 7, Jukheon-gil, Gangneung-si, Gangwon-do 210-702, Republic of Korea
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.
http://ijfs.usb.ac.ir/article_1209_cdbaf63e2edeaa408c76ce2aa3691e62.pdf
Generalized quaternion group
Hamiltonian group
Fuzzy subgroups
Subgroup chain
Generating function
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
113
125
10.22111/ijfs.2013.1210
1210
مقاله پژوهشی
Finite Dimensional Generating Spaces of Quasi-Norm Family
G. Rano
gobardhanr@gmail.com
1
T. Bag
tarapadavb@gmail.com
2
S. K. Samanta
syamal.123samanta@visva-bharati.ac.in
3
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben- gal, India
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben- gal, India
Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India
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.
http://ijfs.usb.ac.ir/article_1210_f5fe0801395b1d9675affeff2ff1f501.pdf
Quasi-norm
~Generating space
~Fuzzy norm
~ t-norm
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
127
146
10.22111/ijfs.2013.1213
1213
مقاله پژوهشی
Categories isomorphic to the category of $L$-fuzzy closure system spaces
Fu-Gui Shi
fuguishi@bit.edu.cn
1
Bin Pang
pangbin1205@163.com
2
School of Mathematics, Beijing Institute of Technology, 5 South Zhong- guancun Street, Haidian District, 100081 Beijing, P.R. China
School of Mathematics, Beijing Institute of Technology, 5 South Zhong- guancun Street, Haidian District, 100081 Beijing, P.R. China
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.
http://ijfs.usb.ac.ir/article_1213_c0c65f0dec93dbcbf9391ecf90ae2d95.pdf
$L$-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
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
147
164
10.22111/ijfs.2013.1236
1236
مقاله پژوهشی
Further study on $L$-fuzzy Q-convergence structures
Bin Pang
pangbin1205@163.com
1
School of Mathematics, Beijing Institute of Technology, 5 South Zhong- guancun Street, Haidian District, 100081 Beijing, P.R. China
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}.
http://ijfs.usb.ac.ir/article_1236_e08b6909103a69198ce3458da3606ed8.pdf
$L$-fuzzy Q-convergence
$L$-ordered Q-convergence
$L$-filter
Category theory
Separation axioms
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2013-10-29
10
5
167
175
10.22111/ijfs.2013.2701
2701
Persian-translation vol. 10, no. 5, October 2013
http://ijfs.usb.ac.ir/article_2701_96cf710bfbc45e4e40e3e9e463b1b3d1.pdf