University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151229Cover vol. 12, no. 6, December 20150264010.22111/ijfs.2015.2640ENJournal Article20161002https://ijfs.usb.ac.ir/article_2640_624ba5a728aebb6d79a1ea405ac675ab.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230The generation of fuzzy sets and the~construction of~characterizing functions of~fuzzy data116217510.22111/ijfs.2015.2175ENL.KovarovaFaculty of Mathematics and Physics, Charles Univer-
sity in Prague, Czech RepublicR.ViertlFaculty of Mathematics and Geoinformation, Vienna University of Tech-
nology, AustriaJournal Article20150107Measurement results contain different kinds of uncertainty. Besides systematic errors and<br />random errors individual measurement results are also subject to another type of uncertainty,<br />so-called emph{fuzziness}. It turns out that special fuzzy subsets of the set of real numbers $RR$<br />are useful to model fuzziness of measurement results. These fuzzy subsets $x^*$ are called emph{fuzzy numbers}. The membership functions of fuzzy numbers have to be determined. In the paper first<br />a characterization of membership function is given, and after that methods to obtain<br />special membership functions of fuzzy numbers, so-called emph{characterizing functions} describing<br />measurement results are treated.https://ijfs.usb.ac.ir/article_2175_c9ab7b97a994f1eced61698f927b3926.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230Double Fuzzy Implications-Based Restriction Inference Algorithm1740217710.22111/ijfs.2015.2177ENYimingTangSchool of Computer and Information, Hefei University of Technol-
ogy, Hefei 230009, China0000-0002-0917-2277XuezhiYangSchool of Computer and Information, Hefei University of Technology,
Hefei 230009, ChinaXiaopingLiuSchool of Computer and Information, Hefei University of Technology,
Hefei 230009, ChinaJuanYangSchool of Computer and Information, Hefei University of Technology,
Hefei 230009, ChinaJournal Article20130307The main condition of the differently implicational inference<br />algorithm is reconsidered from a contrary direction, which motivates<br />a new fuzzy inference strategy, called the double fuzzy<br />implications-based restriction inference algorithm. New restriction<br />inference principle is proposed, which improves the principle of the<br />full implication restriction inference algorithm. Furthermore,<br />focusing on the new algorithm, we analyze the basic property of its<br />solution, and then obtain its optimal solutions aiming at the<br />problems of fuzzy modus ponens (FMP) as well as fuzzy modus tollens<br />(FMT). Lastly, comparing with the full implication restriction<br />inference algorithm, the new algorithm can make the inference<br />closer, and generate more, better specific inference algorithms.https://ijfs.usb.ac.ir/article_2177_60f71e48fd2f411976d1d0fa5426174c.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230Power harmonic aggregation operator with trapezoidal intuitionistic fuzzy numbers for solving MAGDM problems4174217910.22111/ijfs.2015.2179ENSatyajitDasDepartment of Mathematics, Indian Institute of Technology Patna,
IndiaDebashreeGuhaDepartment of Mathematics, Indian Institute of Technology Patna,
IndiaJournal Article20140607Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted power harmonic mean (TrIFOWPHM) operator, trapezoidal intuitionistic fuzzy induced ordered weighted power harmonic mean (TrIFIOWPHM) operator and trapezoidal intuitionistic fuzzy hybrid power harmonic mean (TrIFhPHM) operator are introduced to aggregate the decision information. The desirable properties of these operators are presented in detail. A prominent characteristic of these operators is that, the aggregated value by using these operators is also a TrIFN. It is observed that the proposed TrIFWPHM operator is the generalization of trapezoidal intuitionistic fuzzy weighted harmonic mean (TrIFWHM) operator, trapezoidal intuitionistic fuzzy weighted arithmetic mean (TrIFWAM) operator, trapezoidal intuitionistic fuzzy weighted geometric mean (TrIFWGM) operator and trapezoidal intuitionistic fuzzy weighted quadratic mean (TrIFWQM) operator, {it i.e.,} we can easily reduce the TrIFWPHM operator to TrIFWHM, TrIFWGM, TrIFWAM and TrIFWQM operators, depending upon the decision situation. Further, we develop an approach to multi-attribute group decision making (MAGDM) problem on the basis of the proposed aggregation operators. Finally, the effectiveness and applicability of our proposed MAGDM model, as well as comparison analysis with other approaches are illustrated with a practical example.https://ijfs.usb.ac.ir/article_2179_88aa3a3c65c419bc4c04ec82d605659e.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151229A Comparative Study of Fuzzy Inner Product Spaces7593218010.22111/ijfs.2015.2180ENM.SaheliDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Raf-
sanjan, IranJournal Article20141207In the present paper, we investigate a connection between two fuzzy inner product one of which arises from Felbin's fuzzy norm and the other is based on Bag and Samanta's fuzzy norm. Also we show that, considering a fuzzy inner product space, how one can construct another kind of fuzzy inner product on this space.https://ijfs.usb.ac.ir/article_2180_e1e41d7a77efaa72efbbba4c1b7a9ba4.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications95108218210.22111/ijfs.2015.2182ENS. H.WangDepartment of Mathematics and Physics, North China Electric Power
University, Baoding, ChinaA. A. N.AbdouDepartment of Mathematics, King Abdulaziz University, Jeddah,
Saudi ArabiaY. J.ChoDepartment of Education Mathematics and RINS, Gyeongsang National
University, Jinju, KoreanJournal Article20150208In this paper, we give some new coupled common fixed point theorems for probabilistic $varphi$-contractions in Menger probabilistic metric spaces. As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improve<br />the corresponding results given by some authors. Finally, we give one example to illustrate the main results of this paper.https://ijfs.usb.ac.ir/article_2182_afb7f8e19891eed8b147008993ecea08.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces109128218310.22111/ijfs.2015.2183ENChengyuLiangCollege of Science, North China University of Technology, No.5
Jinyuanzhuang Road, Shijingshan District, 100144 Beijing, P.R. ChinaFu-GuiShiSchool of Mathematics and Statistics, Beijing Institute of Technology,
5 South Zhongguancun Street, Haidian District, 100081 Beijing, P.R. ChinaJournal Article20130108In this paper, the Urysohn, completely Hausdorff and completely regular axioms in $L$-topological spaces are generalized to $L$-fuzzy topological spaces. Each $L$-fuzzy topological space can be regarded to be Urysohn, completely Hausdorff and completely regular to<br />some degree. Some properties of them are investigated. The relations among them and $T_2$ in $L$-fuzzy topological spaces are discussed.https://ijfs.usb.ac.ir/article_2183_62d77ff56d5dc14ca1a8a1b2479b044f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230A generalization of the Chen-Wu duality into quantale-valued setting129140218410.22111/ijfs.2015.2184ENChongShenDepartment of Physics, Hebei University of Science and Technology,
Shijiazhuang 050018, P.R. ChinaShanshanZhangDepartment of Physics, Hebei University of Science and Technol-
ogy, Shijiazhuang 050018, P.R. ChinaWeiYaoDepartment of Physics, Hebei University of Science and Technology, Shi-
jiazhuang 050018, P.R. ChinaChangchengZhangDepartment of Physics, Hebei University of Science and Tech-
nology, Shijiazhuang 050018, P.R. ChinaJournal Article20150308With the unit interval [0,1] as the truth value table, Chen and Wu<br />presented the concept of possibility computation over dcpos.<br />Indeed, every possibility computation can be considered as a<br />[0,1]-valued Scott open set on a dcpo. The aim of this paper is to<br />study Chen-Wu's duality on quantale-valued setting. For clarity,<br />with a commutative unital quantale $L$ as the truth value table, we<br />introduce a concept of fuzzy possibility computations over fuzzy<br />dcpos and then establish an equivalence between their denotational<br />semantics and their logical semantics.https://ijfs.usb.ac.ir/article_2184_d4f9baf4d31d0a64c12e63e45a09a6b6.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151230Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions141154218510.22111/ijfs.2015.2185ENZ.SadeghiYoung Researchers and Elite Club, Roudehen Branch, Islamic Azad
University, Roudehen, Iran.S. M.VaezpourDepartment of Mathematics and Computer Sciences, Amirkabir Uni-
versity of Technology, Tehran, IranJournal Article20131208The purpose of this paper is to present some coincidence point and common<br /> fixed point theorems for multivalued contraction maps in complete fuzzy<br /> metric spaces endowed with a partial order. As an application, we give<br /> an existence theorem of solution for general classes of integral<br /> inclusions by the coincidence point theorem.https://ijfs.usb.ac.ir/article_2185_b24acaf50a9ca3009a041a23f5a21657.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412620151201Persian-translation vol. 12, no. 6, December 2015157164264110.22111/ijfs.2015.2641ENJournal Article20161002https://ijfs.usb.ac.ir/article_2641_584e31ac1faa34dd8d5f698a3ce8f896.pdf