University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121201Cover Special Issue vol. 9, no. 6, December 20120280610.22111/ijfs.2012.2806ENJournal Article20161213https://ijfs.usb.ac.ir/article_2806_bf0b8dbee5c9d7b98ae157ca9754c9e1.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121227CREDIBILITY-BASED FUZZY PROGRAMMING MODELS TO
SOLVE THE BUDGET-CONSTRAINED FLEXIBLE
FLOW LINE PROBLEMCREDIBILITY-BASED FUZZY PROGRAMMING MODELS TO
SOLVE THE BUDGET-CONSTRAINED FLEXIBLE
FLOW LINE PROBLEM12911010.22111/ijfs.2012.110ENAliGhodratnamaDepartment of Industrial Engineering, College of Engineering,
University of Tehran, Tehran, IranSeyed AliTorabiDepartment of Industrial Engineering, College of Engineering,
University of Tehran, Tehran, IranRazaTavakkoli-MoghaddamDepartment of Industrial Engineering, College of En-
gineering, University of Tehran, Tehran, Iran0000-0002-6757-926XJournal Article20100927This paper addresses a new version of the exible ow line prob- <br />lem, i.e., the budget constrained one, in order to determine the required num- <br />ber of processors at each station along with the selection of the most eco- <br />nomical process routes for products. Since a number of parameters, such as <br />due dates, the amount of available budgets and the cost of opting particular <br />routes, are imprecise (fuzzy) in practice, they are treated as fuzzy variables. <br />Furthermore, to investigate the model behavior and to validate its attribute, <br />we propose three fuzzy programming models based upon credibility measure, <br />namely expected value model, chance-constrained programming model and <br />dependent chance-constrained programming model, in order to transform the <br />original mathematical model into a fuzzy environment. To solve these fuzzy <br />models, a hybrid meta-heuristic algorithm is proposed in which a genetic al- <br />gorithm is designed to compute the number of processors at each stage; and <br />a particle swarm optimization (PSO) algorithm is applied to obtain the op- <br />timal value of tardiness variables. Finally, computational results and some <br />concluding remarks are provided.https://ijfs.usb.ac.ir/article_110_4cdee35db4712858ef8408c9704bade8.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121227AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC
FUZZY LOGICAN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC
FUZZY LOGIC314111110.22111/ijfs.2012.111ENEsfandiarEslamiDepartment of Mathematics, Faculty of Mathematics and Com-
puter, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20110227In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove some theorems to demonstrate our goal.https://ijfs.usb.ac.ir/article_111_92936ce87ae15b80c0c9d17ae0d847e8.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202FUZZY GRADE OF THE COMPLETE HYPERGROUPSFUZZY GRADE OF THE COMPLETE HYPERGROUPS435611210.22111/ijfs.2012.112ENCarmenAnghelutaFaculty of Mathematics and Computer Science, University of
Bucharest, Str. Academiei 14, 010014 Bucharest, RomaniaIrinaCristeaCenter for Systems and Information Technologies, University of
Nova Gorica, Vipavska 13, SI-5000, Nova Gorica, SloveniaJournal Article20110102This paper continues the study of the connection between hyper- groups and fuzzy sets, investigating the length of the sequence of join spaces associated with a hypergroup. The classes of complete hypergroups and of 1-hypergroups are considered and analyzed in this context. Finally, we give a method to construct a nite hypergroup with the strong fuzzy grade equal to a given natural numberhttps://ijfs.usb.ac.ir/article_112_0ff69d8d879db7c0ac75b78249b3499f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202DEFUZZIFICATION METHOD FOR RANKING FUZZY
NUMBERS BASED ON CENTER OF GRAVITYDEFUZZIFICATION METHOD FOR RANKING FUZZY
NUMBERS BASED ON CENTER OF GRAVITY576711310.22111/ijfs.2012.113ENTofighAllahviranlooDepartment of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran0000-0002-6673-3560RahimSaneifardDepartment of Mathematics, Science and Research Branch, Islamic
Azad University, Tehran, IranJournal Article20110102Ranking fuzzy numbers plays a very important role in decision making and some other fuzzy application systems. Many different methods have been proposed to deal with ranking fuzzy numbers. Constructing ranking indexes based on the centroid of fuzzy numbers is an important case. But some weaknesses are found in these indexes. The purpose of this paper is to give a new ranking index to rank various fuzzy numbers effectively. Finally, several numerical examples following the procedure indicate the ranking results to be valid.https://ijfs.usb.ac.ir/article_113_80aeb7a1e681279f864e912e3a6e965f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202A FUZZY DIFFERENCE BASED EDGE DETECTORA FUZZY DIFFERENCE BASED EDGE DETECTOR698511410.22111/ijfs.2012.114ENM. A.Nikouei MahaniElectrical Engineering Department, Shahid Bahonar Univer-
sity of Kerman, Kerman, IranMohamadKoohi MoghadamSchool of Computer Engineering, Iran University of
Science and Technology, Tehran, IranHoseinNezamabadi-pourElectrical Engineering Department, Shahid Bahonar Uni-
versity of Kerman, Kerman, IranJournal Article20100302In this paper, a new algorithm for edge detection based on fuzzy<br />concept is suggested. The proposed approach defines dynamic membership<br />functions for different groups of pixels in a 3 by 3 neighborhood of the central<br />pixel. Then, fuzzy distance and -cut theory are applied to detect the edge<br />map by following a simple heuristic thresholding rule to produce a thin edge<br />image. A large number of experiments are employed to confirm the robustness<br />of the proposed algorithm. In the experiments different cases such as normal<br />images, images corrupted by Gaussian noise, and uneven lightening images<br />are involved. The results obtained are compared with some famous algorithms<br />such as Canny and Sobel operators, a competitive fuzzy edge detector, and a<br />statistical based edge detector. The visual and quantitative comparisons show<br />the effectiveness of the proposed algorithm even for those images that were<br />corrupted by strong noise.https://ijfs.usb.ac.ir/article_114_04f71f0b2f0662f7763880565a251dae.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202SYMMETRIC TRIANGULAR AND INTERVAL
APPROXIMATIONS OF FUZZY SOLUTION TO
LINEAR FREDHOLM FUZZY INTEGRAL
EQUATIONS OF THE SECOND KINDSYMMETRIC TRIANGULAR AND INTERVAL
APPROXIMATIONS OF FUZZY SOLUTION TO
LINEAR FREDHOLM FUZZY INTEGRAL
EQUATIONS OF THE SECOND KIND879911510.22111/ijfs.2012.115ENMajidAlaviDepartment of Mathematics, Islamic Azad University, Arak Branch,
Arak, IranBabakAsadyDepartment of Mathematics, Islamic Azad University, Arak Branch,
Arak, IranJournal Article20100702In this paper a linear Fuzzy Fredholm Integral Equation(FFIE) <br />with arbitrary Fuzzy Function input and symmetric triangular (Fuzzy Interval) <br />output is considered. For each variable, output is the nearest triangular fuzzy <br />number (fuzzy interval) to the exact fuzzy solution of (FFIE).https://ijfs.usb.ac.ir/article_115_4867dc5fc41055bc015b22cd768c5f10.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND
L-FUZZY QUASI-UNIFORMITIESTHE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND
L-FUZZY QUASI-UNIFORMITIES10111112010.22111/ijfs.2012.120ENEun-SeokKimDepartment of Mathematics, Chonnam National University, 300 Yongbong-
dong, Bukgu, 500-757, Gwangju, KoreaSeung-HoAhnDepartment of Mathematics, Chonnam National University, 300 Yongbong-
dong, Bukgu, 500-757, GwangJu, KoreaDae HeuiParkDepartment of Mathematics, Chonnam National University, 300 Yongbong-
dong, Bukgu, 500-757, GwangJu, KoreaJournal Article20110102In this paper, we investigate the <span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;">-fuzzy proximities and the relationships </span>between<span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;"><span style="font-size: xx-small; font-family: CMR8;">-fuzzy topologies, </span></span><span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;"><span style="font-size: xx-small; font-family: CMR8;">-fuzzy topogenous order and </span></span><span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;">-fuzzy </span>uniformity. First, we show that the category of<span style="font-size: xx-small; font-family: CMR8;">-fuzzy topological spaces can </span>be embedded in the category of <span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;">-fuzzy quasi-proximity spaces as a coreective </span>full subcategory. Second, we show that the category of L <span style="font-size: xx-small; font-family: CMR8;">-fuzzy proximity </span>spaces is isomorphic to the category of L<span style="font-size: xx-small; font-family: CMR8;">-fuzzy topogenous order spaces. Finally,</span>we obtain that the category of <span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;">-fuzzy proximity spaces can be embedded</span>in the category of <span style="font-size: xx-small; font-family: CMMI8;"><span style="font-size: xx-small; font-family: CMMI8;">L</span></span><span style="font-size: xx-small; font-family: CMR8;">-fuzzy uniform spaces as a bireective full subcategory.</span> <br /> https://ijfs.usb.ac.ir/article_120_e9a1f2dafb8bbda298f95ab61533e4c2.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202Uniquely Remotal Sets in $c_0$-sums and $ell^infty$-sums of Fuzzy Normed SpacesUniquely Remotal Sets in $c_0$-sums and $ell^infty$-sums of Fuzzy Normed Spaces11312212110.22111/ijfs.2012.121ENAlirezaKamel MirmostafaeeCenter of Excellence in Analysis on Algebraic Struc-
tures, Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box
1159, Mashhad 91775, Mashhad, IranMadjidMirzavaziriCenter of Excellence in Analysis on Algebraic Structures, De-
partment of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mash-
had 91775, Mashhad, IranJournal Article20110502Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy bounded<br />subset of $X$. We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums of<br />fuzzy normed spaces. Then we will show that in these spaces, all fuzzy<br />uniquely remotal sets are singletons.https://ijfs.usb.ac.ir/article_121_ff6e9553bb02f301be1760cab42930a1.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121202(IC)LM-FUZZY TOPOLOGICAL SPACES(IC)LM-FUZZY TOPOLOGICAL SPACES12313312410.22111/ijfs.2012.124ENHai-YangLiSchool of Science, Xi'an Polytechnic University, Xi'an 710048, P. R.
ChinaJournal Article20110202The aim of the present paper is to define and study (IC)$LM$-fuzzy<br />topological spaces, a generalization of (weakly) induced $LM$-fuzzy<br />topological spaces. We discuss the basic properties of<br />(IC)$LM$-fuzzy topological spaces, and introduce the notions of<br />interior (IC)-fication and exterior (IC)-fication of $LM$-fuzzy<br />topologies and prove that {bf ICLM-FTop} (the category of<br />(IC)$LM$-fuzzy topological spaces) is an isomorphism-closed full<br />proper subcategory of {bf LM-FTop} (the category of $LM$-fuzzy<br />topological spaces) and {bf ICLM-FTop} is a simultaneously<br />bireflective and bicoreflective full subcategory of {bf LM-FTop}.https://ijfs.usb.ac.ir/article_124_a929db0f489a56ad82899d80d76f5f06.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549620121201Persian-translation Vol.9, No.6137145280710.22111/ijfs.2012.2807ENJournal Article20161213https://ijfs.usb.ac.ir/article_2807_82664d9575be6d31f502231085f96bf9.pdf