University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429Cover Vol.14, No.2 April 20170313910.22111/ijfs.2017.3139ENJournal Article20170423https://ijfs.usb.ac.ir/article_3139_c3a2df4da9e30ac79bd3234e691206a2.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429SOME RESULTS OF MOMENTS OF UNCERTAIN RANDOM VARIABLES121313110.22111/ijfs.2017.3131ENHamedAhmadzadeDepartment of Statistics, University of Sistan and Baluchestan,
Zahedan, IranYuhongShengCollege of Mathematical and System Sciences, Xinjiang University,
Urumqi 830046, ChinaFatemehHassantabar DarziDepartment of Statistics, University of Sistan and
Baluchestan, Zahedan, IranJournal Article20151022Chance theory is a mathematical methodology for dealing with indeterminate<br />phenomena including uncertainty and randomness.<br />Consequently, uncertain random variable is developed to describe the phenomena which involve<br />uncertainty and randomness.<br />Thus, uncertain random variable is a fundamental concept in chance theory.<br />This paper provides some practical quantities to describe uncertain random variable.<br />The typical one is the expected value, which is the uncertain version of the<br />center of gravity of a physical body.<br />Mathematically, expectations are integrals with respect to chance distributions<br />or chance measures.<br />In fact, expected values measure the center of gravity of a distribution; they are<br />measures of location. In order to describe a distribution in brief terms there<br />exist additional measures, such as the variance which measures the dispersion<br />or spread, and moments.<br />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.https://ijfs.usb.ac.ir/article_3131_182175d48ed3270d60a18b815e0a7196.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429A JOINT DUTY CYCLE SCHEDULING AND ENERGY AWARE ROUTING APPROACH BASED ON EVOLUTIONARY GAME FOR WIRELESS SENSOR NETWORKS2344313210.22111/ijfs.2017.3132ENM. S.KordafshariDepartment of Computer Engineering, Science and Research
Branch, Islamic Azad University, Tehran, IranA.MovagharDepartment of Computer Engineering, Sharif University of Technology, Tehran, IranM. R.MeybodiComputer Engineering and Information Technology Department,
Amirkabir University of Technology, Tehran, IranJournal Article20160422Network 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.https://ijfs.usb.ac.ir/article_3132_5ac5352b2337405f917464e60dddab55.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429MULTI-OBJECTIVE ROUTING AND SCHEDULING IN FLEXIBLE MANUFACTURING SYSTEMS UNDER UNCERTAINTY4577313310.22111/ijfs.2017.3133ENAhmadMehrabianDepartment of Industrial Engineering, South-Tehran Branch,
Islamic Azad University, Tehran, IranRezaTavakkoli-MoghaddamDepartment of Industrial Engineering, South-Tehran
Branch, Islamic Azad University, Tehran, Iran0000-0002-6757-926XKavehKhalili-DamaghaniDepartment of Industrial Engineering, South-Tehran Branch,
Islamic Azad University, Tehran, IranJournal Article20160422The 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.https://ijfs.usb.ac.ir/article_3133_2e5c34907c1ac6e7aaf5d6e41d80dabd.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429TAUBERIAN THEOREMS FOR THE EULER-NORLUND MEAN-CONVERGENT SEQUENCES OF FUZZY NUMBERS7992313410.22111/ijfs.2017.3134ENNaim L.BrahaDepartment of Mathematics and Computer Sciences, University of
Prishtina, Avenue Mother Teresa, No-4, Prishtine, 10000, KosovaMikailEtDepartment of Mathematics, Frat University, Elazig, 23119, TurkeyJournal Article20160322Fuzzy set theory has entered into a large variety of disciplines of sciences,<br />technology and humanities having established itself as an extremely versatile<br />interdisciplinary research area. Accordingly different notions of fuzzy<br />structure have been developed such as fuzzy normed linear space, fuzzy<br />topological vector space, fuzzy sequence space etc. While reviewing the<br />literature in fuzzy sequence space, we have seen that the notion of Tauberian<br />theorems for the Euler-N\"{o}rlund mean-convergent sequences of fuzzy numbers<br />has not been developed. In the present paper, we introduce some new concepts<br />about statistical convergence of sequences of fuzzy numbers. The main purpose<br />of this paper is to study Tauberian theorems for the Euler-N\"{o}rlund<br />mean-convergent sequences of fuzzy numbers and investigate some other kind of<br />convergences named Euler-N\"{o}rlund mean-level convergence so as to fill up<br />the existing gaps in the literature. The results which we obtained in this<br />study are much more general than those obtained by others.https://ijfs.usb.ac.ir/article_3134_893168af5ed1d98fec0e8f295f68f1ce.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429ON THE SYSTEM OF LEVEL-ELEMENTS INDUCED BY AN L-SUBSET93105313510.22111/ijfs.2017.3135ENJinmingFangDepartment of Mathematics, Ocean University of China, Qing Dao
266071, PR ChinaYouyanLiDepartment of Mathematics, Ocean University of China, Qing Dao
266071, PR ChinaWenyiChenDepartment of Mathematics, Ocean University of China, Qing Dao
266071, PR ChinaJournal Article20141022This 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.https://ijfs.usb.ac.ir/article_3135_8463d3b272c307c070fd6fde0df0c457.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES107126313610.22111/ijfs.2017.3136ENHoang VietLongDivision 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, VietnamNguyen Thi KimSonDepartment of Mathematics, Hanoi University of Education,
VietnamNgo VanHoaDivision 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, VietnamJournal Article20160222In 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.https://ijfs.usb.ac.ir/article_3136_9bf822b348b21a6081aacf90b19a7ccc.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429S-APPROXIMATION SPACES: A FUZZY APPROACH127154313710.22111/ijfs.2017.3137ENAliShakibaDepartment of Computer Science, Vali-e-Asr University of Rafsanjan,
Rafsanjan, IranMohammadRezaHooshmandaslDepartment of Computer Science, Yazd University,
Yazd, IranBijanDavvazDepartment of Mathematics, Yazd University, Yazd, IranSeyed AbolfazlShahzadeh FazeliDepartment of Computer Science, Yazd University, Yazd, IranJournal Article20150622In 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.https://ijfs.usb.ac.ir/article_3137_8dee0e281bea00cc18c46e1132414df5.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429FORMAL BALLS IN FUZZY PARTIAL METRIC SPACES155164313810.22111/ijfs.2017.3138ENJiyuWuDepartment of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.ChinaYueliYueDepartment of Mathematics, Ocean University of China, 238 Songling
Road, 266100, Qingdao, P.R.ChinaJournal Article20160122In 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.https://ijfs.usb.ac.ir/article_3138_1731186cacc42a3620bb17542aac67dc.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414220170429Persian-translation vol. 14, no. 2, April 2017167174314010.22111/ijfs.2017.3140ENJournal Article20170423https://ijfs.usb.ac.ir/article_3140_e6302889fbbd7b0eddc238bdc864a467.pdf