eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-29
12
6
0
10.22111/ijfs.2015.2640
2640
Cover vol. 12, no. 6, December 2015
http://ijfs.usb.ac.ir/article_2640_624ba5a728aebb6d79a1ea405ac675ab.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
1
16
10.22111/ijfs.2015.2175
2175
مقاله پژوهشی
The generation of fuzzy sets and the~construction of~characterizing functions of~fuzzy data
L. Kovarova
1
R. Viertl
2
Faculty of Mathematics and Physics, Charles Univer- sity in Prague, Czech Republic
Faculty of Mathematics and Geoinformation, Vienna University of Tech- nology, Austria
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.
http://ijfs.usb.ac.ir/article_2175_c9ab7b97a994f1eced61698f927b3926.pdf
Characterizing function
Fuzzy data
Generating families
Measurement results
Vector-characterizing function
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
17
40
10.22111/ijfs.2015.2177
2177
مقاله پژوهشی
Double Fuzzy Implications-Based Restriction Inference Algorithm
Yiming Tang
tym608@163.com
1
Xuezhi Yang
xzyang@hfut.edu.cn
2
Xiaoping Liu
lxp@hfut.edu.cn
3
Juan Yang
4
School of Computer and Information, Hefei University of Technol- ogy, Hefei 230009, China
School of Computer and Information, Hefei University of Technology, Hefei 230009, China
School of Computer and Information, Hefei University of Technology, Hefei 230009, China
School of Computer and Information, Hefei University of Technology, Hefei 230009, China
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.
http://ijfs.usb.ac.ir/article_2177_60f71e48fd2f411976d1d0fa5426174c.pdf
uzzy inference
Fuzzy system
Compositional rule of inference (CRI)
algorithm
Full implication inference algorithm
Fuzzy implication
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
41
74
10.22111/ijfs.2015.2179
2179
مقاله پژوهشی
Power harmonic aggregation operator with trapezoidal intuitionistic fuzzy numbers for solving MAGDM problems
Satyajit Das
satyajitnit.das@gmail.com
1
Debashree Guha
debashree@iitp.ac.in
2
Department of Mathematics, Indian Institute of Technology Patna, India
Department of Mathematics, Indian Institute of Technology Patna, India
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.
http://ijfs.usb.ac.ir/article_2179_88aa3a3c65c419bc4c04ec82d605659e.pdf
Intuitionistic fuzzy number
Power mean
Harmonic mean
Ranking
Multi-attribute group decision making
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-29
12
6
75
93
10.22111/ijfs.2015.2180
2180
مقاله پژوهشی
A Comparative Study of Fuzzy Inner Product Spaces
M. Saheli
1
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran
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.
http://ijfs.usb.ac.ir/article_2180_e1e41d7a77efaa72efbbba4c1b7a9ba4.pdf
Fuzzy norm
Fuzzy inner product
Fuzzy Hilbert space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
95
108
10.22111/ijfs.2015.2182
2182
مقاله پژوهشی
Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications
S. H. Wang
1
A. A. N. Abdou
2
Y. J. Cho
3
Department of Mathematics and Physics, North China Electric Power University, Baoding, China
Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Education Mathematics and RINS, Gyeongsang National University, Jinju, Korean
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.
http://ijfs.usb.ac.ir/article_2182_afb7f8e19891eed8b147008993ecea08.pdf
Menger probabilistic metric space
probabilistic $varphi$-contraction
coupled fixed points
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
109
128
10.22111/ijfs.2015.2183
2183
مقاله پژوهشی
The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces
Chengyu Liang
liangchengyu87@163.com
1
Fu-Gui Shi
fugushi@bit.edu.cn
2
College of Science, North China University of Technology, No.5 Jinyuanzhuang Road, Shijingshan District, 100144 Beijing, P.R. China
School of Mathematics and Statistics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, 100081 Beijing, P.R. China
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.
http://ijfs.usb.ac.ir/article_2183_62d77ff56d5dc14ca1a8a1b2479b044f.pdf
$L$-fuzzy topology
Urysohn axiom
Completely Hausdorff axiom
Completely regular axiom
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
129
140
10.22111/ijfs.2015.2184
2184
مقاله پژوهشی
A generalization of the Chen-Wu duality into quantale-valued setting
Chong Shen
shenchong0520@163.com
1
Shanshan Zhang
zhangshan920805@163.com
2
Wei Yao
22987944@qq.com
3
Changcheng Zhang
puregenius@126.com
4
Department of Physics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China
Department of Physics, Hebei University of Science and Technol- ogy, Shijiazhuang 050018, P.R. China
Department of Physics, Hebei University of Science and Technology, Shi- jiazhuang 050018, P.R. China
Department of Physics, Hebei University of Science and Tech- nology, Shijiazhuang 050018, P.R. China
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.
http://ijfs.usb.ac.ir/article_2184_d4f9baf4d31d0a64c12e63e45a09a6b6.pdf
Fuzzy Scott topology
$L$-fuzzy possibility computation
Denotational semantics
$L$-fuzzy predicate transformer
$L$-fuzzy logical semantics
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-30
12
6
141
154
10.22111/ijfs.2015.2185
2185
مقاله پژوهشی
Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions
Z. Sadeghi
1
S. M. Vaezpour
2
Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran.
Department of Mathematics and Computer Sciences, Amirkabir Uni- versity of Technology, Tehran, Iran
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.
http://ijfs.usb.ac.ir/article_2185_b24acaf50a9ca3009a041a23f5a21657.pdf
Coincidence point
Fixed point
Multivalued mapping
Ordered fuzzy
metric space
Volterra integral inclusion
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2015-12-01
12
6
157
164
10.22111/ijfs.2015.2641
2641
Persian-translation vol. 12, no. 6, December 2015
http://ijfs.usb.ac.ir/article_2641_584e31ac1faa34dd8d5f698a3ce8f896.pdf