Results 181 to 190 of about 14,410 (213)

Measuring Distance of Fuzzy Numbers by Trapezoidal Fuzzy Numbers

AIP Conference Proceedings, 2010
Fuzzy numbers and more generally linguistic values are approximate assessments, given by experts and accepted by decision‐makers when obtaining value that is more accurate is impossible or unnecessary. Distance between two fuzzy numbers plays an important role in linguistic decision‐making.
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Approximations of Fuzzy Numbers by General Trapezoidal Fuzzy Numbers

2013
Recently, many scholars investigated interval, triangular, trapezoidal, and semi-trapezoidal approximations of fuzzy numbers. These researches can be grouped into two classes: one is to study approximations of fuzzy numbers without any constraint; the other one is to study approximations preserving some attributes. In this paper, we propose two general
Chi-Tsuen Yeh, Pei-Hau Lin
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Arithmetic of Fuzzy Numbers in Generalized Trapezoidal Form

Journal of Mathematical Sciences, 2016
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Koroteev, M. V., Terelyanskii, P. V., Ivanyuk, V. A.   +2 more
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Weighted semi-trapezoidal approximations of fuzzy numbers

Fuzzy Sets and Systems, 2011
The author embeds fuzzy numbers into a Hilbert space \(H\) for computing their weighted semi-trapezoidal approximations via best approximations in a closed convex subset of \(H\). Formulas of matricial type are given, thus improving results of \textit{A. I. Ban} [Fuzzy Sets Syst. 160, No.~21, 3027--3047 (2009; Zbl 1183.03047); ibid.
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Weighted trapezoidal and triangular approximations of fuzzy numbers

Fuzzy Sets and Systems, 2009
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The Symmetric Trapezoidal Approximations of Fuzzy Numbers

2010 International Conference on Computational and Information Sciences, 2010
The nearest symmetric trapezoidal approximation is presented for simplifying calculations of fuzzy numbers, which possesses the following properties: the centroid point invariance, ambuguity invariance, width invariance, translation invariance, sc-ale invariance. Numerical results also show that the presented method is valid.
Zhongxing Wang, Jingcui Li
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Adjustment of Trapezoidal Fuzzy Numbers Matrix

2010 Second WRI Global Congress on Intelligent Systems, 2010
In this paper, a method of adjusting trapezoidal fuzzy numbers matrix according as consistent rule is studied. The main idea is that a barycenter matrix is introduced in order to adjust the inconsistent matrix. In detail, if the consistency of barycenter matrix does not dissatisfy the requirement, we can construct consistent matrixes by the elements ...
Xiao-ling Ye, Ying-chao Zhang
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Circumcenter of centroid in ranking fuzzy number: A case of generalized trapezoidal fuzzy numbers

2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015
Many approaches have been proposed to quest appropriate methods in ranking fuzzy numbers. Due to the flexibility of fuzzy numbers, most of these methods are not able to calculate all kinds of ranking fuzzy numbers and some of them give inconsistent and counter intuitive results.
Lazim Abdullah, Fateen Najwa Azman
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Fuzzy inventory with or without backorder for fuzzy order quantity with trapezoid fuzzy number

Fuzzy Sets and Systems, 1999
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Jing-Shing Yao, Huey-Ming Lee
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Preference Relations of Trapezoidal Fuzzy Numbers

2013
As described in Chapter 5, qualitative information, such as that conveyed in outstanding, good and poor, is often used to assess qualitative variables, human moral, the performance of certain equipment, etc. In any fuzzy decision making, the available qualitative information is generally characterized by trapezoidal fuzzy numbers, triangular fuzzy ...
Zaiwu Gong, Yi Lin, Tianxiang Yao
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