IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2640 unavailable Cover vol. 12, no. 6, December 2015 29 12 2015 12 6 0 0 02 10 2016 02 10 2016 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2640.html

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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2175 Research Paper The generation of fuzzy sets and the~construction of~characterizing functions of~fuzzy data Kovarova L. Faculty of Mathematics and Physics, Charles Univer- sity in Prague, Czech Republic Viertl R. Faculty of Mathematics and Geoinformation, Vienna University of Tech- nology, Austria 30 12 2015 12 6 1 16 07 01 2015 07 10 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2175.html

Measurement results contain different kinds of uncertainty. Besides systematic errors andrandom errors individual measurement results are also subject to another type of uncertainty,so-called emph{fuzziness}. It turns out that special fuzzy subsets of the set of real numbers \$RR\$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 firsta characterization of membership function is given, and after that methods to obtainspecial membership functions of fuzzy numbers, so-called emph{characterizing functions} describingmeasurement results are treated.

Characterizing function Fuzzy data Generating families Measurement results Vector-characterizing function
 A. Ferrero, M. Prioli and S. Salicone, Conditional random-fuzzy variables representing mea- surement results, IEEE Transactions on Instrumentation and Measurement, 64(5) (2015), 1170-1178.  S. Jain and M. Khare, Construction of fuzzy membership functions for urban vehicular ex- haust emissions modeling, Environmental monitoring and assessment, 167(1-4) (2010), 691-  G. Klir and B. Yuan, Fuzzy sets and fuzzy logic { theory and applications, Prentice Hall, Upper Saddle River, 1995.  A. Sancho-Royo, and J. L. Verdegay, Methods for the construction of membership functions, International Journal of Intelligent Systems, 14(12) (1999), 1213-1230.  R. Viertl, Fuzzy models for precision measurements, Mathematics and Computers in Simu- lation, 79(4) (2008), 847-878.  R. Viertl, Statistical methods for fuzzy data, John Wiley & Sons, Chichester, 2011.  L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-353.  A-X. Zhu, L. Yang, B. Li, C. Qin, T. Pei and B. Liu, Construction of membership functions for predictive soil mapping under fuzzy logic, Geoderma, 155(3) (2010), 164-174.
IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2177 Research Paper Double Fuzzy Implications-Based Restriction Inference Algorithm Tang Yiming School of Computer and Information, Hefei University of Technol- ogy, Hefei 230009, China Yang Xuezhi School of Computer and Information, Hefei University of Technology, Hefei 230009, China Liu Xiaoping School of Computer and Information, Hefei University of Technology, Hefei 230009, China Yang Juan School of Computer and Information, Hefei University of Technology, Hefei 230009, China 30 12 2015 12 6 17 40 07 03 2013 07 09 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2177.html

The main condition of the differently implicational inferencealgorithm is reconsidered from a contrary direction, which motivatesa new fuzzy inference strategy, called the double fuzzyimplications-based restriction inference algorithm. New restrictioninference principle is proposed, which improves the principle of thefull implication restriction inference algorithm. Furthermore,focusing on the new algorithm, we analyze the basic property of itssolution, and then obtain its optimal solutions aiming at theproblems of fuzzy modus ponens (FMP) as well as fuzzy modus tollens(FMT). Lastly, comparing with the full implication restrictioninference algorithm, the new algorithm can make the inferencecloser, and generate more, better specific inference algorithms.

uzzy inference Fuzzy System Compositional rule of inference (CRI) algorithm Full implication inference algorithm Fuzzy implication
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2179 Research Paper Power harmonic aggregation operator with trapezoidal intuitionistic fuzzy numbers for solving MAGDM problems Das Satyajit Department of Mathematics, Indian Institute of Technology Patna, India Guha Debashree Department of Mathematics, Indian Institute of Technology Patna, India 30 12 2015 12 6 41 74 07 06 2014 07 10 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2179.html

Trapezoidal 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.

Intuitionistic fuzzy number Power mean Harmonic mean Ranking Multi-attribute group decision making
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2180 Research Paper A Comparative Study of Fuzzy Inner Product Spaces Saheli M. Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran 29 12 2015 12 6 75 93 07 12 2014 07 08 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2180.html

In 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.

Fuzzy norm Fuzzy inner product Fuzzy Hilbert space
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2182 Research Paper Coupled common fixed point theorems for \$varphi\$-contractions in probabilistic metric spaces and applications Wang S. H. Department of Mathematics and Physics, North China Electric Power University, Baoding, China Abdou A. A. N. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia Cho Y. J. Department of Education Mathematics and RINS, Gyeongsang National University, Jinju, Korean 30 12 2015 12 6 95 108 08 02 2015 08 09 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2182.html

In 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 improvethe corresponding results given by some authors. Finally, we give one example  to illustrate the main results of this paper.

Menger probabilistic metric space probabilistic \$varphi\$-contraction coupled fixed points
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2183 Research Paper The Urysohn, completely Hausdorff and completely regular axioms in \$L\$-fuzzy topological spaces Liang Chengyu College of Science, North China University of Technology, No.5 Jinyuanzhuang Road, Shijingshan District, 100144 Beijing, P.R. China Shi Fu-Gui School of Mathematics and Statistics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, 100081 Beijing, P.R. China 30 12 2015 12 6 109 128 08 01 2013 08 10 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2183.html

In 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 tosome degree. Some properties of them are investigated. The relations among them and \$T_2\$ in \$L\$-fuzzy topological spaces are discussed.

\$L\$-fuzzy topology Urysohn axiom Completely Hausdorff axiom Completely regular axiom
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2184 Research Paper A generalization of the Chen-Wu duality into quantale-valued setting Shen Chong Department of Physics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China Zhang Shanshan Department of Physics, Hebei University of Science and Technol- ogy, Shijiazhuang 050018, P.R. China Yao Wei Department of Physics, Hebei University of Science and Technology, Shi- jiazhuang 050018, P.R. China Zhang Changcheng Department of Physics, Hebei University of Science and Tech- nology, Shijiazhuang 050018, P.R. China 30 12 2015 12 6 129 140 08 03 2015 08 10 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2184.html

With the unit interval [0,1] as the truth value table, Chen and Wupresented the concept of  possibility computation over dcpos.Indeed, every possibility computation can be considered as a[0,1]-valued Scott open set on a dcpo. The aim of this paper is tostudy Chen-Wu's duality on quantale-valued setting. For clarity,with a commutative unital quantale \$L\$ as the truth value table, weintroduce a concept of fuzzy possibility computations over fuzzydcpos and then establish an equivalence between their denotationalsemantics and their logical semantics.

Fuzzy Scott topology \$L\$-fuzzy possibility computation Denotational semantics \$L\$-fuzzy predicate transformer \$L\$-fuzzy logical semantics
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2185 Research Paper Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions Sadeghi Z. Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran. Vaezpour S. M. Department of Mathematics and Computer Sciences, Amirkabir Uni- versity of Technology, Tehran, Iran 30 12 2015 12 6 141 154 08 12 2013 08 10 2015 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2185.html

The purpose of this paper is to present some coincidence point and common  fixed point theorems for multivalued contraction maps in complete fuzzy  metric spaces endowed with a partial order. As an application, we give  an existence theorem of solution for general classes of integral  inclusions by the coincidence point theorem.

Coincidence point Fixed point Multivalued mapping Ordered fuzzy metric space Volterra integral inclusion
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IJFS University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 University of Sistan and Baluchestan 21 10.22111/ijfs.2015.2641 unavailable Persian-translation vol. 12, no. 6, December 2015 01 12 2015 12 6 157 164 02 10 2016 02 10 2016 Copyright © 2015, University of Sistan and Baluchestan. 2015 http://ijfs.usb.ac.ir/article_2641.html

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