University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
29
Cover vol. 12, no. 6, December 2015
0
EN
10.22111/ijfs.2015.2640
http://ijfs.usb.ac.ir/article_2640.html
http://ijfs.usb.ac.ir/article_2640_624ba5a728aebb6d79a1ea405ac675ab.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
The generation of fuzzy sets and the~construction of~characterizing functions of~fuzzy data
1
16
EN
L.
Kovarova
Faculty of Mathematics and Physics, Charles Univer-
sity in Prague, Czech Republic
R.
Viertl
Faculty of Mathematics and Geoinformation, Vienna University of Tech-
nology, Austria
10.22111/ijfs.2015.2175
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
http://ijfs.usb.ac.ir/article_2175.html
http://ijfs.usb.ac.ir/article_2175_c9ab7b97a994f1eced61698f927b3926.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
Double Fuzzy Implications-Based Restriction Inference Algorithm
17
40
EN
Yiming
Tang
School of Computer and Information, Hefei University of Technol-
ogy, Hefei 230009, China
tym608@163.com
Xuezhi
Yang
School of Computer and Information, Hefei University of Technology,
Hefei 230009, China
xzyang@hfut.edu.cn
Xiaoping
Liu
School of Computer and Information, Hefei University of Technology,
Hefei 230009, China
lxp@hfut.edu.cn
Juan
Yang
School of Computer and Information, Hefei University of Technology,
Hefei 230009, China
10.22111/ijfs.2015.2177
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
http://ijfs.usb.ac.ir/article_2177.html
http://ijfs.usb.ac.ir/article_2177_60f71e48fd2f411976d1d0fa5426174c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
Power harmonic aggregation operator with trapezoidal intuitionistic fuzzy numbers for solving MAGDM problems
41
74
EN
Satyajit
Das
Department of Mathematics, Indian Institute of Technology Patna,
India
satyajitnit.das@gmail.com
Debashree
Guha
Department of Mathematics, Indian Institute of Technology Patna,
India
debashree@iitp.ac.in
10.22111/ijfs.2015.2179
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
http://ijfs.usb.ac.ir/article_2179.html
http://ijfs.usb.ac.ir/article_2179_88aa3a3c65c419bc4c04ec82d605659e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
29
A Comparative Study of Fuzzy Inner Product Spaces
75
93
EN
M.
Saheli
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf-
sanjan, Iran
10.22111/ijfs.2015.2180
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
http://ijfs.usb.ac.ir/article_2180.html
http://ijfs.usb.ac.ir/article_2180_e1e41d7a77efaa72efbbba4c1b7a9ba4.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications
95
108
EN
S. H.
Wang
Department of Mathematics and Physics, North China Electric Power
University, Baoding, China
A. A. N.
Abdou
Department of Mathematics, King Abdulaziz University, Jeddah,
Saudi Arabia
Y. J.
Cho
Department of Education Mathematics and RINS, Gyeongsang National
University, Jinju, Korean
10.22111/ijfs.2015.2182
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
http://ijfs.usb.ac.ir/article_2182.html
http://ijfs.usb.ac.ir/article_2182_afb7f8e19891eed8b147008993ecea08.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces
109
128
EN
Chengyu
Liang
College of Science, North China University of Technology, No.5
Jinyuanzhuang Road, Shijingshan District, 100144 Beijing, P.R. China
liangchengyu87@163.com
Fu-Gui
Shi
School of Mathematics and Statistics, Beijing Institute of Technology,
5 South Zhongguancun Street, Haidian District, 100081 Beijing, P.R. China
fugushi@bit.edu.cn
10.22111/ijfs.2015.2183
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
http://ijfs.usb.ac.ir/article_2183.html
http://ijfs.usb.ac.ir/article_2183_62d77ff56d5dc14ca1a8a1b2479b044f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
A generalization of the Chen-Wu duality into quantale-valued setting
129
140
EN
Chong
Shen
Department of Physics, Hebei University of Science and Technology,
Shijiazhuang 050018, P.R. China
shenchong0520@163.com
Shanshan
Zhang
Department of Physics, Hebei University of Science and Technol-
ogy, Shijiazhuang 050018, P.R. China
zhangshan920805@163.com
Wei
Yao
Department of Physics, Hebei University of Science and Technology, Shi-
jiazhuang 050018, P.R. China
22987944@qq.com
Changcheng
Zhang
Department of Physics, Hebei University of Science and Tech-
nology, Shijiazhuang 050018, P.R. China
puregenius@126.com
10.22111/ijfs.2015.2184
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
http://ijfs.usb.ac.ir/article_2184.html
http://ijfs.usb.ac.ir/article_2184_d4f9baf4d31d0a64c12e63e45a09a6b6.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
30
Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions
141
154
EN
Z.
Sadeghi
Young Researchers and Elite Club, Roudehen Branch, Islamic Azad
University, Roudehen, Iran.
S. M.
Vaezpour
Department of Mathematics and Computer Sciences, Amirkabir Uni-
versity of Technology, Tehran, Iran
10.22111/ijfs.2015.2185
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
http://ijfs.usb.ac.ir/article_2185.html
http://ijfs.usb.ac.ir/article_2185_b24acaf50a9ca3009a041a23f5a21657.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
12
6
2015
12
01
Persian-translation vol. 12, no. 6, December 2015
157
164
EN
10.22111/ijfs.2015.2641
http://ijfs.usb.ac.ir/article_2641.html
http://ijfs.usb.ac.ir/article_2641_584e31ac1faa34dd8d5f698a3ce8f896.pdf