University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Cover for Volume.13, No.4
0
EN
10.22111/ijfs.2016.2622
http://ijfs.usb.ac.ir/article_2622.html
http://ijfs.usb.ac.ir/article_2622_62f46e0d5b4bbe46365d43f6b7ed13cd.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making
1
16
EN
Guiwu
Wei
School of Business, Sichuan Normal University, Chengdu, 610101, P.R.
China; Communications Systems and Networks (CSN) Research Group, Department of
Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
weiguiwu@163.com
Fuad E.
Alsaadi
Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Tasawar
Hayat
Department of Mathematics, QuaidI-Azam University 45320, Islam-
abad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research
Group, Department of Mathematics, Faculty of Science, King Abdulaziz University,
Jeddah 21589, Saudi Arabia
Ahmed
Alsaedi
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group,
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
10.22111/ijfs.2016.2592
In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (HFLWA) operator, hesitant fuzzy linguistic ordered weighted average (HFLOWA) operator and hesitant fuzzy linguistic hybrid average (HFLHA) operator. Furthermore, we propose the concept of the dual hesitant fuzzy linguistic set and develop some aggregation operators with dual hesitant fuzzy linguistic information. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy linguistic multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Multiple attribute decision making (MADM),Hesitant fuzzy linguistic values,Hesitant fuzzy linguistic hybrid average (HFLHA) operator,Dual hesitant fuzzy linguistic set
http://ijfs.usb.ac.ir/article_2592.html
http://ijfs.usb.ac.ir/article_2592_619f4e19e93b5824c3f4b46437720286.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
A satisfactory strategy of multiobjective two person matrix games with fuzzy payoffs
17
33
EN
Hamid
Bigdeli
Department of Mathematics, University of Birjand, Birjand, I.R. Iran
Hassan
Hassanpour
Department of Mathematics, University of Birjand, Birjand,
I.R. Iran
10.22111/ijfs.2016.2593
The multiobjective two person matrix game problem with fuzzy payoffs is considered in this paper. It is assumed that fuzzy payoffs are triangular fuzzy numbers. The problem is converted to several multiobjective matrix game problems with interval payoffs by using the $alpha$-cuts of fuzzy payoffs. By solving these problems some $alpha$-Pareto optimal strategies with some interval outcomes are obtained. An interactive algorithm is presented to obtain a satisfactory strategy of players. Validity and applicability of the method is illustrated by a practical example.
Fuzzy multiobjective game,Interval multiobjective programming,Satisfactory strategy,Security level
http://ijfs.usb.ac.ir/article_2593.html
http://ijfs.usb.ac.ir/article_2593_a3f6078e1878f648f551e48322f3dde9.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Bisimulation for BL-general fuzzy automata
35
50
EN
M.
Shamsizadeh
Department of Mathematics, Graduate University of Advanced
Technology, Kerman, Iran
M. M.
Zahedi
Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
zahedi_mm@ mail.uk.ac.ir
K.
Abolpour
Department of Mathematics, Kazerun Branch, Islamic Azad University,
Kazerun, Iran
10.22111/ijfs.2016.2594
In this note, we define bisimulation for BL-general fuzzy automata and show that if there is a bisimulation between two BL-general fuzzy automata, then they have the same behavior.For a given BL-general fuzzy automata, we obtain the greatest bisimulation for the BL-general fuzzy automata. Thereafter, if we use the greatest bisimulation, then we obtain a quotient BL-general fuzzy automata and this quotient is minimal, furthermore there is a morphism from the first one to its quotient.Also, for two given BL-general fuzzy automata we present an algorithm, which determines bisimulation between them.Finally, we present some examples to clarify these new notions.
BL-general fuzzy automata,Bisimulation,Reduction,General fuzzy automata,Quotient automata
http://ijfs.usb.ac.ir/article_2594.html
http://ijfs.usb.ac.ir/article_2594_42b1b8528d5cf9d63d89ed191424c188.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Characterizations of $L$-convex spaces
51
61
EN
Bin
Pang
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. China
pangbin1205@163.com
Yi
Zhao
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. China
zhaoyisz420@sohu.com
10.22111/ijfs.2016.2595
In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it is proved that these categories are all isomorphic to the category of $L$-convex spaces whenever $L$ is a completely distributive lattice with an order-reversing involution operator.
$L$-convex structure,$L$-concave structure,Convex $L$-closure operator,Concave $L$-interior operator,Concave $L$-neighborhood system
http://ijfs.usb.ac.ir/article_2595.html
http://ijfs.usb.ac.ir/article_2595_892a5985091b412961eb99fb84c5bfbe.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Multiple Fuzzy Regression Model for Fuzzy Input-Output Data
63
78
EN
Jalal
Chachi
0000-0003-1883-5113
Department of Mathematics, Statistics and Computer Sciences, Sem-
nan University, Semnan, Semnan 35195-363, Iran
taheri.chachi@gmail.com
S. Mahmoud
Taheri
Faculty of Engineering Science, College of Engineering, University of Tehran, Tehran, P.O. Box 11365-4563, Iran
taher@cc.iut.ac.ir;sm_taheri@ut.ac.ir
10.22111/ijfs.2016.2596
A novel approach to the problem of regression modeling for fuzzy input-output data is introduced.In order to estimate the parameters of the model, a distance on the space of interval-valued quantities is employed.By minimizing the sum of squared errors, a class of regression models is derived based on the interval-valued data obtained from the $alpha$-level sets of fuzzy input-output data.Then, by integrating the obtained parameters of the interval-valued regression models, the optimal values of parameters for the main fuzzy regression model are estimated.Numerical examples and comparison studies are given to clarify the proposed procedure, and to show the performance of the proposed procedure with respect to some common methods.
Fuzzy regression,Interval-valued regression,Least squares method,$LR$-Fuzzy number,Multiple regression,Predictive ability
http://ijfs.usb.ac.ir/article_2596.html
http://ijfs.usb.ac.ir/article_2596_c5d1e02ec07e74c58799b657496f0c39.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
On impulsive fuzzy functional differential equations
79
94
EN
Ho
Vu
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
hovumath@gmail.com
Ngo
VanHoa
Division of Computational Mathematics and Engineering, Institute
for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
10.22111/ijfs.2016.2597
In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.
Impulsive fuzzy functional differential equations,impulsive functional differential equations,impulsive differential equations
http://ijfs.usb.ac.ir/article_2597.html
http://ijfs.usb.ac.ir/article_2597_14b4ee49034a4c88aca9d65fbe0dcb9b.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Stratified $(L,M)$-fuzzy Q-convergence spaces
95
111
EN
Bin
Pang
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. China
pangbin1205@163.com
Yi
Zhao
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. China
zhaoyisz420@sohu.com
10.22111/ijfs.2016.2598
This paper presents the concepts of $(L,M)$-fuzzy Q-convergence spaces and stratified $(L,M)$-fuzzy Q-convergence spaces. It is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the category of $(L,M)$-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified $(L,M)$-fuzzy topological spaces can be embedded in the category of stratified $(L,M)$-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified $(L,M)$-fuzzy Q-convergence spaces.
(Stratified) $(L,M)$-fuzzy topology,M)$-fuzzy Q-convergence structure,Topological category,Cartesian-closedness
http://ijfs.usb.ac.ir/article_2598.html
http://ijfs.usb.ac.ir/article_2598_1c939cd4dac89ee78894504a9620668f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Fuzzy Topology Generated by Fuzzy Norm
113
123
EN
M.
Saheli
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
10.22111/ijfs.2016.2599
In the current paper, consider the fuzzy normed linear space $(X,N)$ which is defined by Bag and Samanta. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuzzy topologies.
Fuzzy norm,Fuzzy topology,locally convex topological vector space
http://ijfs.usb.ac.ir/article_2599.html
http://ijfs.usb.ac.ir/article_2599_80e905324f5d0d9df4942f664b21aabb.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
30
Extended Fuzzy $BCK$-subalgebras
125
144
EN
Jianming
Zhan
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China
zhanjianming@ hotmail.com
Mohammad
Hamidi
Department of Mathematics, Payame Noor University, Tehran,
Iran
m.hamidi20@gmail.com
Arsham
Borumand Saeid
Department of Pure Mathematics, Faculty of Mathematics
and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
arsham@iauk.ac.ir
10.22111/ijfs.2016.2600
This paper extends the notion of fuzzy $BCK$-subalgebras to fuzzy hyper $BCK$-subalgebras and defines an extended fuzzy $BCK$-subalgebras. This study considers a type of fuzzy hyper $BCK$-ideals in this hyperstructure and describes the relationship between hyper $BCK$-ideals and fuzzy hyper $BCK$-ideals. In fact, it tries to introduce a strongly regular relation on hyper $BCK$-algebras. Moreover, by using the fuzzy hyper $BCK$-ideals, it defines a congruence relation on (weak commutative) hyper $BCK$-algebras that under some conditions is strongly regular and the quotient of any hyper $BCK$-algebra via this relation is a $($hyper $BCK$-algebra$)$ $BCK$-algebra.
Extended fuzzy $BCK$-subalgebra,(Strongly) Fuzzy hyper $BCK$-ideal,Fundamental relation $beta^*$
http://ijfs.usb.ac.ir/article_2600.html
http://ijfs.usb.ac.ir/article_2600_ec5ab1057962c6beff342819cbfc8af5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
13
4
2016
08
01
Persian Translation of Abstracts
145
158
EN
10.22111/ijfs.2016.2623
http://ijfs.usb.ac.ir/article_2623.html
http://ijfs.usb.ac.ir/article_2623_142703c45c95558598fdf7e2eb9c6fb3.pdf