eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
0
10.22111/ijfs.2016.2622
2622
مقاله پژوهشی
Cover for Volume.13, No.4
http://ijfs.usb.ac.ir/article_2622_62f46e0d5b4bbe46365d43f6b7ed13cd.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
1
16
10.22111/ijfs.2016.2592
2592
مقاله پژوهشی
Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making
Guiwu Wei
weiguiwu@163.com
1
Fuad E. Alsaadi
2
Tasawar Hayat
3
Ahmed Alsaedi
4
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
Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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.
http://ijfs.usb.ac.ir/article_2592_619f4e19e93b5824c3f4b46437720286.pdf
Multiple attribute decision making (MADM)
Hesitant fuzzy linguistic values
Hesitant fuzzy linguistic hybrid average (HFLHA) operator
Dual hesitant fuzzy linguistic set
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
17
33
10.22111/ijfs.2016.2593
2593
مقاله پژوهشی
A satisfactory strategy of multiobjective two person matrix games with fuzzy payoffs
Hamid Bigdeli
1
Hassan Hassanpour
2
Department of Mathematics, University of Birjand, Birjand, I.R. Iran
Department of Mathematics, University of Birjand, Birjand, I.R. Iran
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.
http://ijfs.usb.ac.ir/article_2593_a3f6078e1878f648f551e48322f3dde9.pdf
Fuzzy multiobjective game
Interval multiobjective programming
Satisfactory strategy
Security level
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
35
50
10.22111/ijfs.2016.2594
2594
مقاله پژوهشی
Bisimulation for BL-general fuzzy automata
M. Shamsizadeh
1
M. M. Zahedi
zahedi_mm@ mail.uk.ac.ir
2
K. Abolpour
3
Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
Department of Mathematics, Kazerun Branch, Islamic Azad University, Kazerun, Iran
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.
http://ijfs.usb.ac.ir/article_2594_42b1b8528d5cf9d63d89ed191424c188.pdf
BL-general fuzzy automata
Bisimulation
Reduction
General fuzzy automata
Quotient automata
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
51
61
10.22111/ijfs.2016.2595
2595
مقاله پژوهشی
Characterizations of $L$-convex spaces
Bin Pang
pangbin1205@163.com
1
Yi Zhao
zhaoyisz420@sohu.com
2
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
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.
http://ijfs.usb.ac.ir/article_2595_892a5985091b412961eb99fb84c5bfbe.pdf
$L$-convex structure
$L$-concave structure
Convex $L$-closure operator
Concave $L$-interior operator
Concave $L$-neighborhood system
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
63
78
10.22111/ijfs.2016.2596
2596
مقاله پژوهشی
Multiple Fuzzy Regression Model for Fuzzy Input-Output Data
Jalal Chachi
taheri.chachi@gmail.com
1
S. Mahmoud Taheri
taher@cc.iut.ac.ir;sm_taheri@ut.ac.ir
2
Department of Mathematics, Statistics and Computer Sciences, Sem- nan University, Semnan, Semnan 35195-363, Iran
Faculty of Engineering Science, College of Engineering, University of Tehran, Tehran, P.O. Box 11365-4563, Iran
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.
http://ijfs.usb.ac.ir/article_2596_c5d1e02ec07e74c58799b657496f0c39.pdf
Fuzzy regression
Interval-valued regression
Least squares method
$LR$-Fuzzy number
Multiple regression
Predictive ability
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
79
94
10.22111/ijfs.2016.2597
2597
مقاله پژوهشی
On impulsive fuzzy functional differential equations
Ho Vu
hovumath@gmail.com
1
Ngo VanHoa
2
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
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
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.
http://ijfs.usb.ac.ir/article_2597_14b4ee49034a4c88aca9d65fbe0dcb9b.pdf
Impulsive fuzzy functional differential equations
impulsive functional differential equations
impulsive differential equations
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
95
111
10.22111/ijfs.2016.2598
2598
مقاله پژوهشی
Stratified $(L,M)$-fuzzy Q-convergence spaces
Bin Pang
pangbin1205@163.com
1
Yi Zhao
zhaoyisz420@sohu.com
2
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
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.
http://ijfs.usb.ac.ir/article_2598_1c939cd4dac89ee78894504a9620668f.pdf
(Stratified) $(L
M)$-fuzzy topology
M)$-fuzzy Q-convergence structure
Topological category
Cartesian-closedness
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
113
123
10.22111/ijfs.2016.2599
2599
مقاله پژوهشی
Fuzzy Topology Generated by Fuzzy Norm
M. Saheli
1
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
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.
http://ijfs.usb.ac.ir/article_2599_80e905324f5d0d9df4942f664b21aabb.pdf
Fuzzy norm
Fuzzy topology
locally convex topological vector space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-30
13
4
125
144
10.22111/ijfs.2016.2600
2600
مقاله پژوهشی
Extended Fuzzy $BCK$-subalgebras
Jianming Zhan
zhanjianming@ hotmail.com
1
Mohammad Hamidi
m.hamidi20@gmail.com
2
Arsham Borumand Saeid
arsham@iauk.ac.ir
3
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China
Department of Mathematics, Payame Noor University, Tehran, Iran
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://ijfs.usb.ac.ir/article_2600_ec5ab1057962c6beff342819cbfc8af5.pdf
Extended fuzzy $BCK$-subalgebra
(Strongly) Fuzzy hyper $BCK$-ideal
Fundamental relation $beta^*$
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2016-08-01
13
4
145
158
10.22111/ijfs.2016.2623
2623
مقاله پژوهشی
Persian Translation of Abstracts
http://ijfs.usb.ac.ir/article_2623_142703c45c95558598fdf7e2eb9c6fb3.pdf