University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
Cover Vol.14, No.2 April 2017
0
EN
10.22111/ijfs.2017.3139
http://ijfs.usb.ac.ir/article_3139.html
http://ijfs.usb.ac.ir/article_3139_c3a2df4da9e30ac79bd3234e691206a2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
SOME RESULTS OF MOMENTS OF UNCERTAIN RANDOM VARIABLES
1
21
EN
Hamed
Ahmadzade
Department of Statistics, University of Sistan and Baluchestan,
Zahedan, Iran
ahmadzadeh.h.63@gmail.com
Yuhong
Sheng
College of Mathematical and System Sciences, Xinjiang University,
Urumqi 830046, China
shengyuhong@sina.com
Fatemeh
Hassantabar Darzi
Department of Statistics, University of Sistan and
Baluchestan, Zahedan, Iran
10.22111/ijfs.2017.3131
Chance theory is a mathematical methodology for dealing with indeterminatephenomena including uncertainty and randomness.Consequently, uncertain random variable is developed to describe the phenomena which involveuncertainty and randomness.Thus, uncertain random variable is a fundamental concept in chance theory.This paper provides some practical quantities to describe uncertain random variable.The typical one is the expected value, which is the uncertain version of thecenter of gravity of a physical body.Mathematically, expectations are integrals with respect to chance distributionsor chance measures.In fact, expected values measure the center of gravity of a distribution; they aremeasures of location. In order to describe a distribution in brief terms thereexist additional measures, such as the variance which measures the dispersionor spread, and moments.For calculating the moments of uncertain random variable, some formulas are provided through chance distribution and inverse chance distribution. The main results are explained by using several examples.
Chance theory,Uncertain random variable,Chance distribution,Moments
http://ijfs.usb.ac.ir/article_3131.html
http://ijfs.usb.ac.ir/article_3131_182175d48ed3270d60a18b815e0a7196.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
A JOINT DUTY CYCLE SCHEDULING AND ENERGY AWARE ROUTING APPROACH BASED ON EVOLUTIONARY GAME FOR WIRELESS SENSOR NETWORKS
23
44
EN
M. S.
Kordafshari
Department of Computer Engineering, Science and Research
Branch, Islamic Azad University, Tehran, Iran
A.
Movaghar
Department of Computer Engineering, Sharif University of Technology, Tehran, Iran
M. R.
Meybodi
Computer Engineering and Information Technology Department,
Amirkabir University of Technology, Tehran, Iran
10.22111/ijfs.2017.3132
Network throughput and energy conservation are two conflicting important performance metrics for wireless sensor networks. Since these two objectives are in conflict with each other, it is difficult to achieve them simultaneously. In this paper, a joint duty cycle scheduling and energy aware routing approach is proposed based on evolutionary game theory which is called DREG. Making a trade-off between energy conservation and network throughput, the proposed approach prolongs the network lifetime. The paper is divided into the following sections: Initially, the discussion is presented on how the sensor nodes can be scheduled to sleep or wake up in order to reduce energy consumption in idle listening. The sensor wakeup/sleep scheduling problem with multiple objectives is formulated as an evolutionary game theory. Then, the evolutionary game theory is applied to find an optimal wakeup/sleep scheduling policy, based on a trade-off between network throughput and energy efficiency for each sensor. The evolutionary equilibrium is proposed as a solution for this game. In addition, a routing approach is adopted to propose an energy aware fuzzy logic in order to prolong the network lifetime. The results show that the proposed routing approach balances energy consumption among the sensor nodes in the network, avoiding rapid energy depletion of sensors that have less energy. The proposed simulation study shows the more efficient performance of the proposed system than other methods in term of network lifetime and throughput.
Wireless sensor network,Duty cycle scheduling,Energy aware routing,Evolutionary game theory,Distributed reinforcement learning
http://ijfs.usb.ac.ir/article_3132.html
http://ijfs.usb.ac.ir/article_3132_5ac5352b2337405f917464e60dddab55.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
MULTI-OBJECTIVE ROUTING AND SCHEDULING IN FLEXIBLE MANUFACTURING SYSTEMS UNDER UNCERTAINTY
45
77
EN
Ahmad
Mehrabian
Department of Industrial Engineering, South-Tehran Branch,
Islamic Azad University, Tehran, Iran
ahmad.mehrabian@outlook.com
Reza
Tavakkoli-Moghaddam
0000-0002-6757-926X
Department of Industrial Engineering, South-Tehran
Branch, Islamic Azad University, Tehran, Iran
tavakoli@ut.ac.ir
Kaveh
Khalili-Damaghani
Department of Industrial Engineering, South-Tehran Branch,
Islamic Azad University, Tehran, Iran
10.22111/ijfs.2017.3133
The efficiency of transportation system management plays an important role in the planning and operation efficiency of flexible manufacturing systems. Automated Guided Vehicles (AGV) are part of diversified and advanced techniques in the field of material transportation which have many applications today and act as an intermediary between operating and storage equipment and are routed and controlled by an intelligent computer system. In this study, a two-objective mathematical programming model is presented to integrate flow shop scheduling and routing AVGs in a flexible manufacturing system. In real-life problems parameters like demand, due dates and processing times are always uncertain. Therefore, in order to solve a realistic problem, foregoing parameters are considered as fuzzy in our proposed model. Subsequently, to solve fuzzy mathematical programming model, one of the most effective technique in the literature is used. To solve the problem studied, two meta-heuristic algorithms of Non-dominated Sorting Genetic Algorithm-II (NSGAII) and multi-objective particle swarm optimization (MOPSO) are offered that the accuracy of mathematical models and efficiency of algorithms provided are assessed through numerical examples.
Scheduling,Routing,Automated guided vehicle,Meta-heuristic algorithm,Flexible manufacturing
http://ijfs.usb.ac.ir/article_3133.html
http://ijfs.usb.ac.ir/article_3133_2e5c34907c1ac6e7aaf5d6e41d80dabd.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
TAUBERIAN THEOREMS FOR THE EULER-NORLUND MEAN-CONVERGENT SEQUENCES OF FUZZY NUMBERS
79
92
EN
Naim L.
Braha
Department of Mathematics and Computer Sciences, University of
Prishtina, Avenue Mother Teresa, No-4, Prishtine, 10000, Kosova
Mikail
Et
Department of Mathematics, Frat University, Elazig, 23119, Turkey
mikailet68@gmail.com;mikailet@yahoo.com
10.22111/ijfs.2017.3134
Fuzzy set theory has entered into a large variety of disciplines of sciences,technology and humanities having established itself as an extremely versatileinterdisciplinary research area. Accordingly different notions of fuzzystructure have been developed such as fuzzy normed linear space, fuzzytopological vector space, fuzzy sequence space etc. While reviewing theliterature in fuzzy sequence space, we have seen that the notion of Tauberiantheorems for the Euler-N"{o}rlund mean-convergent sequences of fuzzy numbershas not been developed. In the present paper, we introduce some new conceptsabout statistical convergence of sequences of fuzzy numbers. The main purposeof this paper is to study Tauberian theorems for the Euler-N"{o}rlundmean-convergent sequences of fuzzy numbers and investigate some other kind ofconvergences named Euler-N"{o}rlund mean-level convergence so as to fill upthe existing gaps in the literature. The results which we obtained in thisstudy are much more general than those obtained by others.
Statistical convergence,Tauberian theorems,Fuzzy numbers
http://ijfs.usb.ac.ir/article_3134.html
http://ijfs.usb.ac.ir/article_3134_893168af5ed1d98fec0e8f295f68f1ce.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
ON THE SYSTEM OF LEVEL-ELEMENTS INDUCED BY AN L-SUBSET
93
105
EN
Jinming
Fang
Department of Mathematics, Ocean University of China, Qing Dao
266071, PR China
jining-fang@163.com
Youyan
Li
Department of Mathematics, Ocean University of China, Qing Dao
266071, PR China
Wenyi
Chen
Department of Mathematics, Ocean University of China, Qing Dao
266071, PR China
ouccwy@126.com
10.22111/ijfs.2017.3135
This paper focuses on the relationship between an $L$-subset and the system of level-elements induced by it, where the underlying lattice $L$ is a complete residuated lattice and the domain set of $L$-subset is an $L$-partially ordered set $(X,P)$. Firstly, we obtain the sufficient and necessary condition that an $L$-subset is represented by its system of level-elements. Then, a new representation theorem of intersection-preserving $L$-subsets is shown by using union-preserving system of elements. At last, another representation theorem of compatible intersection-preserving $L$-subsets is obtained by means of compatible union-preserving system of elements.
Complete residuated lattice,$L$-partially ordered set,$L$-subset,System of level-elements,Union-preserving system of elements,Compatible union-preserving system of elements,Representation theorem
http://ijfs.usb.ac.ir/article_3135.html
http://ijfs.usb.ac.ir/article_3135_8463d3b272c307c070fd6fde0df0c457.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES
107
126
EN
Hoang Viet
Long
Division of Computational Mathematics and Engineering, Insti-
tute 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
Nguyen Thi Kim
Son
Department of Mathematics, Hanoi University of Education,
Vietnam
Ngo Van
Hoa
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.2017.3136
In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.
Fractional PDEs,Caputo gH-derivatives,Fuzzy weak solutions,Weakly contractive mapping,Partially ordered space
http://ijfs.usb.ac.ir/article_3136.html
http://ijfs.usb.ac.ir/article_3136_9bf822b348b21a6081aacf90b19a7ccc.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
S-APPROXIMATION SPACES: A FUZZY APPROACH
127
154
EN
Ali
Shakiba
Department of Computer Science, Vali-e-Asr University of Rafsanjan,
Rafsanjan, Iran
ali.shakiba@vru.ac.ir
MohammadReza
Hooshmandasl
Department of Computer Science, Yazd University,
Yazd, Iran
Bijan
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
davvaz@yahoo.com
Seyed Abolfazl
Shahzadeh Fazeli
Department of Computer Science, Yazd University, Yazd, Iran
10.22111/ijfs.2017.3137
In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and maximum rejection error, these spaces are interpreted in three-way decision systems by defining the corresponding positive, negative and boundary regions.
Fuzzy S-approximation Spaces,Fuzzy sets,Three-way Decisions,Monotonicity,Weak Complement Compatibility,Rough Set Theory,Rough Mereology
http://ijfs.usb.ac.ir/article_3137.html
http://ijfs.usb.ac.ir/article_3137_8dee0e281bea00cc18c46e1132414df5.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
FORMAL BALLS IN FUZZY PARTIAL METRIC SPACES
155
164
EN
Jiyu
Wu
Department of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.China
wjytun@aliyun.com
Yueli
Yue
Department of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.China
ylyue@ouc.edu.cn
10.22111/ijfs.2017.3138
In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.
Fuzzy partial metric,Formal ball,$mathcal{Q}$-category,Domain
http://ijfs.usb.ac.ir/article_3138.html
http://ijfs.usb.ac.ir/article_3138_1731186cacc42a3620bb17542aac67dc.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
14
2
2017
04
29
Persian-translation vol. 14, no. 2, April 2017
167
174
EN
10.22111/ijfs.2017.3140
http://ijfs.usb.ac.ir/article_3140.html
http://ijfs.usb.ac.ir/article_3140_e6302889fbbd7b0eddc238bdc864a467.pdf