University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131230Cover vol. 10, no. 6, December 20130269810.22111/ijfs.2013.2698ENJournal Article20161018https://ijfs.usb.ac.ir/article_2698_a23462a8d48310202dba8beccd05a970.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131225Spectrum Assignment in Cognitive Radio Networks Using Fuzzy Logic Empowered Ants119130910.22111/ijfs.2013.1309ENFarokhKoroupiDepartment of Computer Engineering, Sirjan Branch, Islamic Azad
University, Sirjan, IranHojjatSalehinejadDepartment of Electrical Engineering, Shahid Bahonar Uni-
versity of Kerman, Kerman, IranSiamakTalebiDepartment of Electrical Engineering, Shahid Bahonar University
of Kerman, Kerman, IranJournal Article20120114The prevalent communications networks suffer from lack of spectrum and spectrum inefficiency. This has motivated researchers to develop cognitive radio (CR) as a smart and dynamic radio access promised solution. A major challenge to this new technology is how to make fair assignment of available spectrum to unlicensed users, particularly for smart grids communication. This paper introduces an innovative approach to this key challenge in CR networks based on an empowered ant colony system (ACS) using fuzzy logic (FL). In order to evaluate performance of the proposed fuzzy logic-ant colony system spectrum assignment algorithm (FLACS-SAA), authors have particularly studied its performance versus the color sensitive graph coloring (CSGC) approach as well as a variety of bio-inspired based techniques referenced in the literature.https://ijfs.usb.ac.ir/article_1309_185a111fcc31265b0f3e9bd82065a8e4.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226A Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\ and Its Application to MADM Problems2137131310.22111/ijfs.2013.1313ENMaojunZhangSchool
of Mathematics and Computing Sciences, Guilin University of Electronic Technology,
No.1, Jinji Road, Guilin 541004, Guangxi, ChinaJiangxiaNanSchool of Mathematics and Computing Sciences, Guilin University of
Electronic Technology, No.1, Jinji Road, Guilin 541004, Guangxi, ChinaJournal Article20111216Triangular intuitionistic fuzzy numbers (TIFNs) is a special case of intuitionistic fuzzy (IF) set and the ranking of TIFNs is an important problem. The aim of this paper is to develop a new methodology for ranking TIFNs by using multiattribute decision making methods (MADM). In this methodology, the value and ambiguity indices of TIFNs may be considered as the attributes and the TIFNs in comparison are seen as the alternatives. A compromise ratio method for fuzzy MADM is developed based on the concept that larger TIFN should close to the maximum value index and is far away from the minimum ambiguity index simultaneously. The proposed ranking method is applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed by using TIFNs. Numerical examples are examined to demonstrate the implementation process and applicability of the proposed method in this paper. Furthermore, a comparison analysis of the proposed method is conducted to show its advantages over other methods.https://ijfs.usb.ac.ir/article_1313_f3b8b5d88dde5ce45b434ea6e6048479.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226The optimum support selection by using fuzzy analytical hierarchy process method for Beheshtabad water transporting tunnel in Naien3951131410.22111/ijfs.2013.1314ENRaminRafieeMining Engineering, Petroliom and Geophysics Faculty, Shahrood
University of Technology, Shahrood, IranMohammadAtaeiMining Engineering, Petroliom and Geophysics Faculty, Shahrood
University of Technology, Shahrood, IranSeyyed Mohammad EsmaeilJalaliMining Engineering, Petroliom and Geophysics
Faculty, Shahrood University of Technology, Shahrood, IranJournal Article20110216The engineers can frequently encounter with the situation to select the optimum option among the alternatives related with tunneling operations. The optimum choice can be selected by the experienced engineers taking into consideration their judgment and intuition. However, decision-making methods can offer to the engineers to support their optimum selection for a particular application in a scientific way. The Fuzzy Analytical Hierarchy Process (FAHP) is one of the multi attribute decision-making (MADM) methods utilizing structured pair-wise comparisons. This paper presents an application of the FAHP method to the selection of the optimum support design for water transporting tunnel in Naien. The methodology considers six main criteria, considering: displacement values for determined history locations, factor of safety (FOS), cost (total cost), time, mechanization and applicability factor for the selection of support design. The displacements and stress values were obtained by using the finite difference program FLAC2D as the numerical studies have been widely used by engineers examining the response of tunnels, in advance. After carrying out several numerical models for different support designs, the FAHP method was incorporated to evaluate these support designs according to the pre-determined criteria. These studies show that such FAHP application can effectively assist engineers to evaluate the alternatives support system for tunnels.https://ijfs.usb.ac.ir/article_1314_08e475bb8a1da8644bdc89224cab55ae.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226On Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers5362131510.22111/ijfs.2013.1315ENPankajKumarDepartment of Mathematics, Haryana College of Technology and
Management, Kaithal-136027, Haryana, IndiaSatvinder SinghBhatiaSchool of Mathematics and Computer Application, Thapar
Universtiy, Patiala, Punjab, IndiaVijayKumarDepartment of Mathematics, Haryana College of Technology and
Management, Kaithal-136027, Haryana, IndiaJournal Article20111116For any lacunary sequence $theta = (k_{r})$, we define the concepts of $S_{theta}-$limit point and $S_{theta}-$cluster point of a sequence of fuzzy numbers $X = (X_{k})$. We introduce the new sets $Lambda^{F}_{S_{theta}}(X)$, $Gamma^{F}_{S_{theta}}(X)$ and prove some inclusion relaions between these and the sets $Lambda^{F}_{S}(X)$, $Gamma^{F}_{S}(X)$ introduced in ~cite{Ayt:Slpsfn} by Aytar [S. Aytar, Statistical limit points of sequences of fuzzy numbers, Inform. Sci. 165 (2004) 129-138]. Later, we find restriction on the lacunary sequence $theta = (k_{r})$ for which the sets $Lambda^{F}_{S_{theta}}(X)$ and $Gamma^{F}_{S_{theta}}(X)$ respectively coincides with the sets $Lambda^{F}_{S}(X)$ and $Gamma^{F}_{S}(X)$.https://ijfs.usb.ac.ir/article_1315_8e4fd7f3f280564325c7d64198d8b509.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226On $varphi $-Contractions in Fuzzy Metric Spaces with Application to the Intuitionistic Setting6372131610.22111/ijfs.2013.1316ENLuis A.RicarteDepartamento de Matematica Aplicada, Universitat Politecnica de
Valencia, Cam de Vera s/n, 46022 Valencia, SpainSalvadorRomagueraInstituto Universitario de Matematica Pura y Aplicada, Uni-
versitat Politecnica de Valencia, Cam de Vera s/n, 46022 Valencia, SpainJournal Article20111016We obtain two fixed point theorems for a kind of $varphi $-contractions in<br />complete fuzzy metric spaces, which are applied to easily deduce<br />intuitionistic versions that improve and simplify the recent results of X.<br />Huang, C. Zhu and X. Wen.https://ijfs.usb.ac.ir/article_1316_90ce1fa56a71ba27c09fbaf9215df4f2.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226Some (Fuzzy) Topologies on General\ Fuzzy Automata7389131710.22111/ijfs.2013.1317ENM.HorryShahid Chamran University of Kerman, Kerman, IranM. M.ZahediDepartment of Mathematics, Shahid Bahonar University of Kerman,
Kerman, IranJournal Article20110716In this paper, by presenting some notions and theorems, we obtain<br />different types of fuzzy topologies. In fact, we obtain some<br />Lowen-type and Chang-type fuzzy topologies on general fuzzy<br />automata. To this end, first we define a Kuratowski fuzzy interior<br />operator which induces a Lowen-type fuzzy topology on the set of<br />states of a max- min general fuzzy automaton. Also by proving<br />some theorems, we can define two fuzzy closure (two fuzzy<br />interior) operators on the certain sets related to a general fuzzy<br />automaton and then according to these notions we give some theorems<br />and obtain some different Chang-type fuzzy topologies.<br /><br />https://ijfs.usb.ac.ir/article_1317_04a689b8a6a2f1959a01c33c210909ce.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226Measures of fuzzy semicompactness in $L$-fuzzy topological spaces91100131910.22111/ijfs.2013.1319ENWen-HuaYangCollege of Mathematics and Information Science, Shaanxi Normal
University, 710062, Xi'an, P. R. ChinaSheng-GangLiCollege of Mathematics and Information Science, Shaanxi Normal
University, 710062, Xi'an, P. R. ChinaHuZhaoCollege of Mathematics and Information Science, Shaanxi Normal Univer-
sity, 710062, Xi'an, P. R. China0000-0002-3094-1210Journal Article20111216In this paper, the notion of fuzzy semicompactness degrees is<br />introduced in $L$-fuzzy topological spaces by means of the<br />implication operation of $L$. Characterizations of fuzzy<br />semicompactness degrees in $L$-fuzzy topological spaces are<br />obtained, and some properties of fuzzy semicompactness degrees are<br />researched.https://ijfs.usb.ac.ir/article_1319_beba6889825f44bc3c8ba99d8c307a81.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226The number of Fuzzy subgroups of some non-abelian groups101107133310.22111/ijfs.2013.1333ENH.DarabiDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, IranF.SaeediDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, IranM.Farrokhi D. G.Department of Pure Mathematics, Ferdowsi University of Mash-
had, Mashhad, IranJournal Article20120317In this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. Explicit formulas are given<br />for dihedral groups $D_{2n}$, quasi-dihedral groups $QD_{2^n}$, generalized quaternion groups $Q_{4n}$ and modular $p$-groups $M_{p^n}$.https://ijfs.usb.ac.ir/article_1333_d76147b842e0c8bba24356ae7eb6604d.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226Roughness in modules by using the notion of reference points109124133410.22111/ijfs.2013.1334ENB.DavvazDepartment of Mathematics, Yazd University, Yazd, Iran0000-0003-1941-5372A.MalekzadehDepartment of Mathematics, Yazd University, Yazd, IranJournal Article20120117 module over a ring is a general mathematical concept for many examples of mathematical<br />objects that can be added to each other and multiplied by scalar numbers.<br />In this paper, we consider a module over a ring as a universe and by using the notion of reference points, we provide local approximations for subsets of the universe.https://ijfs.usb.ac.ir/article_1334_b7e38fe14039de20ab199fb87bb13ee7.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226An explicit formula for the number of fuzzy subgroups of a finite abelian $p$-group\ of rank two125135133510.22111/ijfs.2013.1335ENJu-MokOhMathematics, Gangneung-Wonju National University, Gangneung, Re-
public of KoreaJournal Article20111117Ngcibi, Murali and Makamba [Fuzzy subgroups of rank two abelian<br />$p$-group, Iranian J. of Fuzzy Systems {bf 7} (2010), 149-153]<br />considered the number of fuzzy subgroups of a finite abelian<br />$p$-group $mathbb{Z}_{p^m}times mathbb{Z}_{p^n}$ of rank two, and<br />gave explicit formulas for the cases when $m$ is any positive<br />integer and $n=1,2,3$. Even though their method can be used for the<br />cases when $n=4,5,ldots$ by using inductive arguments, it does not<br />provide an explicit formula for that number for an arbitrarily<br />given positive integer $n$. In this paper we give a complete answer<br />to this problem. Thus for arbitrarily given positive integers $m$<br />and $n$, an explicit formula for the number of fuzzy subgroups of<br />$mathbb{Z}_{p^m}times mathbb{Z}_{p^n}$ is given.https://ijfs.usb.ac.ir/article_1335_5968fa05004644552077641dfc99a189.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations137151133610.22111/ijfs.2013.1336ENS.ArshadComsats Institute of information Technology, Lahore, Pakistan and Ab-
dus Salam School of Mathematical Sciences GC University, Lahore, PakistanJournal Article20110617The purpose of this paper is to study the fuzzy fractional differential<br />equations. We prove that fuzzy fractional differential equation is<br />equivalent to the fuzzy integral equation and then using this equivalence<br />existence and uniqueness result is establish. Fuzzy derivative is consider<br />in the Goetschel-Voxman sense and fractional derivative is consider in the<br />Riemann Liouville sense. At the end, we give the applications of the main<br />result.https://ijfs.usb.ac.ir/article_1336_ab08014dcdacd31849ce88955c9e3fe6.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131226The Remak-Krull-Schmidt Theorem on\ Fuzzy Groups153159133710.22111/ijfs.2013.1337ENBabingtonMakambaDepartment of Mathematics, University of Fort Hare, Alice
5700 , Eastern Cape , South AfricaVenkatMuraliDepartment of Mathematics ( Pure & Applied ), Rhodes University,
Grahamstown 6140, Eastern Cape, South AfricaJournal Article20120117In this paper we study a representation of a fuzzy subgroup $mu$ of a group $G$, as a product of indecomposable fuzzy subgroups called the components of $mu$. This representation is unique up to the number of components and their isomorphic copies. In the crisp group theory, this is a well-known Theorem attributed to Remak, Krull, and Schmidt. We consider the lattice of fuzzy subgroups and some of their properties to prove this theorem. We illustrate with some examples.https://ijfs.usb.ac.ir/article_1337_e18fbd0fd51a1501715cd4e7c8fc4138.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410620131229Persian-translation vol. 10, no. 6, December 2013163174269910.22111/ijfs.2013.2699ENJournal Article20161018https://ijfs.usb.ac.ir/article_2699_b3f6c0855d99ffb2203b1a2693822375.pdf